Edit Profile (opens in new tab) Stadler, Peter F. Co-Author Distance Author ID: stadler.peter-f Published as: Stadler, Peter F.; Stadler, Peter; Stadler, P. F. more...less External Links: ORCID · dblp Documents Indexed: 172 Publications since 1990, including 1 Book and 19 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 149 Co-Authors with 167 Joint Publications 2,218 Co-Co-Authors all top 5 Co-Authors 9 single-authored 49 Hellmuth, Marc 15 Geiß, Manuela 15 Schaller, David 14 Flamm, Christoph 12 Stadler, Bärbel M. R. 11 Schuster, Peter 10 Leydold, Josef 8 Klemm, Konstantin 8 Merkle, Daniel 8 Wieseke, Nicolas 7 Changat, Manoj 7 Hernandez-Rosales, Maribel 7 Hofacker, Ivo L. 7 Ostermeier, Lydia 7 Prohaska, Sonja J. 6 Berkemer, Sarah J. 6 Höner zu Siederdissen, Christian 6 Reidys, Christian Michael 5 Andersen, Jakob Lykke 5 Happel, Robert 5 Valdivia, Dulce I. 4 Bíyíkoğlu, Türker 4 Gleiss, Petra M. 4 Hossein Nezhad, Ferdoos 4 Imrich, Wilfried 4 Long, Yangjing 4 Narasimha-Shenoi, Prasanth G. 4 Wagner, Günter P. 3 Fontanari, José F. 3 Gatter, Thomas 3 Hartmann, Tom 3 Hordijk, Wim 3 Jost, Jürgen 3 Kovše, Matjaž 3 López Sánchez, Alitzel 3 Mehta, Anita 3 Mohandas, Shilpa 3 Moulton, Vincent L. 3 Ramachandran, Abisha 3 Retzlaff, Nancy 3 Schnabl, Wolfgang 3 Seemann, Carsten R. 2 Arguello, Anahy Santiago 2 Attolini, Camille Stephan-Otto 2 Chávez, Edgar 2 Fagerberg, Rolf 2 Fontana, Walter 2 Forst, Christian V. 2 Fritz, Adrian 2 Gärtner, Fabian 2 González Laffitte, Marcos 2 Hecht, Robert 2 Huang, Fenix W. D. 2 Huber, Katharina T. 2 Klöckl, Werner 2 Krakauer, David C. 2 Laffitte, Marcos E. González 2 Lafond, Manuel 2 Miller, John Howard 2 Mosig, Axel 2 Müller, Stefan 2 Nøjgaard, Nikolai N. 2 Ostermeier, Philipp-Jens 2 Otto, Wolfgang 2 Pisanski, Tomaž 2 Riester, Markus 2 Rockmore, Daniel N. 2 Shanavas, Ameera Vaheeda 2 Tinhofer, Gottfried 1 Anders, John 1 Andersen, Tommy 1 Arnold, Christian 1 Backofen, Rolf 1 Bannach, Max 1 Bašić, Nino 1 Bastert, Oliver 1 Beier, Nora 1 Bernhart, Stephan H. 1 Bompfünewerer, Athanasius F. 1 Bruckmann, Carmen 1 Chaves, Ricardo R. C. 1 Davies, Edward Brian 1 de Oliveira, Viviane M. 1 Domschke, Nico 1 Dress, Andreas W. M. 1 Drozdova, Polina 1 Erwin, Douglas H. 1 Fallmann, Jörg 1 Fell, David A. 1 Ferreira, Carlos Eduardo 1 Ferreira, Fernando Fagundes 1 Flack, Jessica C. 1 Fowler, Patrick W. 1 Fritzsch, Guido 1 Fujita, André 1 Gladwell, Graham M. L. 1 Gu, Jiao 1 Guzman, Grover E. C. 1 Hammack, Richard H. 1 Hanczyc, Martin M. ...and 50 more Co-Authors all top 5 Serials 17 Journal of Mathematical Biology 10 Discrete Applied Mathematics 10 Bulletin of Mathematical Biology 9 Journal of Theoretical Biology 8 Mathematics in Computer Science 6 The Art of Discrete and Applied Mathematics 5 Mathematical Biosciences 5 MATCH - Communications in Mathematical and in Computer Chemistry 4 Discrete Mathematics 4 Journal of Physics A: Mathematical and General 4 Advances in Complex Systems 4 Ars Mathematica Contemporanea 3 Theoretical Computer Science 3 Physica D 3 Linear Algebra and its Applications 3 Journal of Difference Equations and Applications 2 Applied Mathematics and Computation 2 Journal of Graph Theory 2 Theoretical Population Biology 2 Graphs and Combinatorics 2 The Australasian Journal of Combinatorics 2 The Electronic Journal of Combinatorics 2 Discussiones Mathematicae. Graph Theory 2 Lecture Notes in Computer Science 2 Algorithms 1 Computers and Chemistry 1 Nuclear Physics. B 1 Physics Letters. A 1 Match 1 Networks 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Journal of Economic Dynamics & Control 1 SIAM Journal on Discrete Mathematics 1 Aequationes Mathematicae 1 SIAM Review 1 Journal of Algebraic Combinatorics 1 Applied and Computational Harmonic Analysis 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 Journal of Graph Algorithms and Applications 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Complex Systems 1 Entropy 1 AKCE International Journal of Graphs and Combinatorics 1 Lecture Notes in Mathematics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical 1 Applied General Topology 1 Journal of Complex Networks 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 97 Biology and other natural sciences (92-XX) 84 Combinatorics (05-XX) 30 Computer science (68-XX) 15 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 114 Publications have been cited 879 times in 541 Documents Cited by ▼ Year ▼ Laplacian eigenvectors of graphs. Perron-Frobenius and Faber-Krahn type theorems. Zbl 1129.05001 Biyikoğlu, Türker; Leydold, Josef; Stadler, Peter F. 48 2007 Combinatorics of RNA secondary structures. Zbl 0918.05004 Hofacker, Ivo L.; Schuster, Peter; Stadler, Peter F. 48 1998 Discrete nodal domain theorems. Zbl 0990.05093 Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F. 39 2001 Combinatorial landscapes. Zbl 0996.92026 Reidys, Christian M.; Stadler, Peter F. 37 2002 Orthology relations, symbolic ultrametrics, and cographs. Zbl 1408.05038 Hellmuth, Marc; Hernandez-Rosales, Maribel; Huber, Katharina T.; Moulton, Vincent; Stadler, Peter F.; Wieseke, Nicolas 33 2013 Landscapes and their correlation functions. Zbl 1002.92547 Stadler, Peter F. 32 1996 Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems. Zbl 0717.92001 Schnabl, Wolfgang; Stadler, Peter F.; Forst, Christian; Schuster, Peter 30 1991 Mutation in autocatalytic reaction networks. An analysis based on perturbation theory. Zbl 0776.92007 Stadler, Peter F.; Schuster, Peter 27 1992 RNA structures with pseudo-knots: graph-theoretical, combinatorial, and statistical properties. Zbl 1323.92149 Haslinger, Christian; Stadler, Peter F. 26 1999 The mathematics of xenology: di-cographs, symbolic ultrametrics, 2-structures and tree-representable systems of binary relations. Zbl 1368.05023 Hellmuth, Marc; Stadler, Peter F.; Wieseke, Nicolas 21 2017 Best match graphs. Zbl 1415.92133 Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F. 18 2019 Minimal cycle bases of outerplanar graphs. Zbl 0895.05032 Leydold, Josef; Stadler, Peter F. 17 1998 Reconstructing gene trees from Fitch’s xenology relation. Zbl 1396.05025 Geiß, Manuela; Anders, John; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc 17 2018 The landscape of the traveling salesman problem. Zbl 0979.90509 Stadler, Peter F.; Schnabl, Wolfgang 16 1992 Generic properties of combinatory maps: Neutral networks of RNA secondary structures. Zbl 0925.92006 Reidys, Christian; Stadler, Peter F.; Schuster, Peter 16 1997 Minimum cycle bases of Halin graphs. Zbl 1022.05041 Stadler, Peter F. 15 2003 Random field models for fitness landscapes. Zbl 0982.92024 Stadler, Peter F.; Happel, Robert 14 1999 Neutrality in fitness landscapes. Zbl 1113.92314 Reidys, Christian M.; Stadler, Peter F. 12 2001 Dynamics of small autocatalytic reaction networks. I: Bifurcations, permanence and exclusion. Zbl 0707.92009 Stadler, Peter F.; Schuster, Peter 12 1990 Centers of complex networks. Zbl 1464.92114 Wuchty, Stefan; Stadler, Peter F. 12 2003 Fast Fourier transform for fitness landscapes. Zbl 1004.92028 Rockmore, Dan; Kostelec, Peter; Hordijk, Wim; Stadler, Peter F. 11 2002 Molecular replicator dynamics. Zbl 1040.92010 Stadler, Bärbel M. R.; Stadler, Peter F. 11 2003 Efficient computation of RNA folding dynamics. Zbl 1050.81729 Wolfinger, Michael T.; Svrcek-Seiler, W. Andreas; Flamm, Christoph; Hofacker, Ivo L.; Stadler, Peter F. 11 2004 Relevant cycles in chemical reaction networks. Zbl 1028.05108 Gleiss, Petra M.; Stadler, Peter F.; Wagner, Andreas; Fell, David A. 11 2001 A survey on hypergraph products. Zbl 1262.05110 Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 11 2012 Circuit bases of strongly connected digraphs. Zbl 1055.05068 Gleiss, Petra M.; Leydold, Josef; Stadler, Peter F. 10 2003 Dynamics of small autocatalytic reaction networks. II: Replication, mutation and catalysis. Zbl 0813.92014 Stadler, Peter F.; Schnabl, Wolfgang; Forst, Christian V.; Schuster, Peter 9 1995 A software package for chemically inspired graph transformation. Zbl 1344.68105 Andersen, Jakob L.; Flamm, Christoph; Merkle, Daniel; Stadler, Peter F. 9 2016 Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149 Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 9 2021 The probability of permanence. Zbl 0778.92015 Stadler, Peter F.; Happel, Robert 8 1993 Local algorithms for the prime factorization of strong product graphs. Zbl 1205.05222 Hellmuth, Marc; Imrich, Wilfried; Klöckl, Werner; Stadler, Peter F. 8 2009 Amplitude spectra of fitness landscapes. Zbl 0927.92026 Hordijk, Wim; Stadler, Peter F. 8 1998 Equitable partitions, coherent algebras and random walks: Applications to the correlation structure of landscapes. Zbl 1029.05128 Stadler, P. F.; Tinhofer, G. 8 1999 Population dependent Fourier decomposition of fitness landscapes over recombination spaces: evolvability of complex characters. Zbl 1323.92135 Stadler, Peter F.; Seitz, Rudi; Wagner, Günter P. 8 2000 Reciprocal best match graphs. Zbl 1433.05303 Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 8 2020 Best match graphs and reconciliation of gene trees with species trees. Zbl 1434.05035 Geiß, Manuela; Laffitte, Marcos E. González; Sánchez, Alitzel López; Valdivia, Dulce I.; Hellmuth, Marc; Rosales, Maribel Hernández; Stadler, Peter F. 8 2020 A note on fundamental, non-fundamental, and robust cycle bases. Zbl 1163.92002 Klemm, Konstantin; Stadler, Peter F. 7 2009 Complementary replication. Zbl 0759.92006 Stadler, Peter F. 7 1991 Spectral classes of regular, random, and empirical graphs. Zbl 1327.05205 Gu, Jiao; Jost, Jürgen; Liu, Shiping; Stadler, Peter F. 7 2016 A short note on undirected Fitch graphs. Zbl 1421.05076 Hellmuth, Marc; Long, Yangjing; Geiß, Manuela; Stadler, Peter F. 7 2018 Approximate graph products. Zbl 1210.05125 Hellmuth, Marc; Imrich, Wilfried; Klöckl, Werner; Stadler, Peter F. 6 2009 Inferring phylogenetic trees from the knowledge of rare evolutionary events. Zbl 1386.05186 Hellmuth, Marc; Hernandez-Rosales, Maribel; Long, Yangjing; Stadler, Peter F. 6 2018 Landscapes on spaces of trees. Zbl 1016.92024 Bastert, Oliver; Rockmore, Dan; Stadler, Peter F.; Tinhofer, Gottfried 6 2002 Graph Laplacians, nodal domains, and hyperplane arrangements. Zbl 1050.05081 Bıyıkoğlu, Türker; Hordijk, Wim; Leydold, Josef; Pisanski, Tomaž; Stadler, Peter F. 6 2004 Random catalytic reaction networks. Zbl 0767.92001 Stadler, Peter F.; Fontana, Walter; Miller, John H. 6 1993 Landscapes: Complex optimization problems and biopolymer structures. Zbl 0805.92016 Schuster, Peter; Stadler, Peter F. 6 1994 The Cartesian product of hypergraphs. Zbl 1242.05193 Ostermeier, Lydia; Hellmuth, Marc; Stadler, Peter F. 6 2012 Complexity of modification problems for best match graphs. Zbl 1500.92068 Schaller, David; Stadler, Peter F.; Hellmuth, Marc 6 2021 Corrigendum to: “Best match graphs”. Zbl 07340472 Schaller, David; Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F. 6 2021 Quasi-independence, homology and the unity of type: a topological theory of characters. Zbl 1464.92211 Wagner, Günter P.; Stadler, Peter F. 6 2003 Saddles and barrier in landscapes of generalized search operators. Zbl 1196.68229 Flamm, Christoph; Hofacker, Ivo L.; Stadler, Bärbel M. R.; Stadler, Peter F. 5 2007 A note on quasi-robust cycle bases. Zbl 1216.05019 Ostermeier, Philipp-Jens; Hellmuth, Marc; Leydold, Josef; Klemm, Konstantin; Stadler, Peter F. 5 2009 Higher separation axioms in generalized closure spaces. Zbl 1049.54002 Stadler, Bärbel M. R.; Stadler, Peter F. 5 2003 Evolving towards the hypercycle: a spatial model of molecular evolution. Zbl 1090.92027 Attolini, Camille Stephan-Otto; Stadler, Peter F. 5 2006 The influence of mutation on autocatalytic reaction networks. Zbl 0807.92008 Stadler, Peter F.; Nuño, Juan Carlos 5 1994 Minimum cycle bases of product graphs. Zbl 1009.05078 Imrich, Wilfried; Stadler, Peter F. 5 2002 Cograph editing: merging modules is equivalent to editing \(P_{4}\)s. Zbl 1441.05195 Fritz, Adrian; Hellmuth, Marc; Stadler, Peter F.; Wieseke, Nicolas 5 2020 Diagonalized Cartesian products of \(S\)-prime graphs are \(S\)-prime. Zbl 1232.05197 Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 4 2012 Selection dynamics in autocatalytic systems: Templates replicating through binary ligation. Zbl 0942.92015 Wills, Peter R.; Kauffman, Stuart A.; Stadler, Bärbel M. R.; Stadler, Peter F. 4 1998 50 shades of rule composition. From chemical reactions to higher levels of abstraction. Zbl 1402.92166 Andersen, Jakob Lykke; Flamm, Christoph; Merkle, Daniel; Stadler, Peter F. 4 2014 Best match graphs with binary trees. Zbl 1480.92153 Schaller, David; Geiß, Manuela; Hellmuth, Marc; Stadler, Peter F. 4 2021 Complexity of modification problems for reciprocal best match graphs. Zbl 1443.92120 Hellmuth, Marc; Geiß, Manuela; Stadler, Peter F. 4 2020 Rule composition in graph transformation models of chemical reactions. Zbl 1468.05289 Andersen, Jakob L.; Flamm, Christoph; Merkle, Daniel; Stadler, Peter F. 4 2018 Landscape statistics of the low-autocorrelation binary string problem. Zbl 0970.82020 Ferreira, Fernando F.; Fontanari, José F.; Stadler, Peter F. 3 2000 Fractal geometry of spin-glass models. Zbl 0995.82037 Fontanari, José F.; Stadler, Peter F. 3 2002 Autocatalytic replication in a CSTR and constant organization. Zbl 1002.92563 Happel, Robert; Stadler, Peter F. 3 1999 Nodal domain theorems and bipartite subgraphs. Zbl 1090.05046 Bıyıkoğlu, Türker; Leydold, Josef; Stadler, Peter F. 3 2005 Small autocatalytic reaction networks. III: Monotone growth functions. Zbl 0758.92009 Stadler, Bärbel M. R.; Stadler, Peter F. 3 1991 Convex cycle bases. Zbl 1301.05235 Hellmuth, Marc; Leydold, Josef; Stadler, Peter F. 3 2014 Curve shortening by short rulers. Zbl 1347.53005 Stadler, Peter 3 2014 Innovation in gene regulation: the case of chromatin computation. Zbl 1406.92207 Prohaska, Sonja J.; Stadler, Peter F.; Krakauer, David C. 3 2010 Forbidden time travel: characterization of time-consistent tree reconciliation maps. Zbl 1443.92122 Nøjgaard, Nikolai; Geiß, Manuela; Merkle, Daniel; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc 3 2017 From modular decomposition trees to rooted median graphs. Zbl 1482.05038 Bruckmann, Carmen; Stadler, Peter F.; Hellmuth, Marc 3 2022 Funnels in energy landscapes. Zbl 1189.60137 Klemm, K.; Flamm, C.; Stadler, P. F. 2 2008 Metastable states in short-ranged \(p\)-spin glasses. Zbl 0962.82079 De Oliveira, Viviane M.; Fontanari, José F.; Stadler, Peter F. 2 1999 Random walks and orthogonal functions associated with highly symmetric graphs. Zbl 0835.05045 Stadler, Peter F. 2 1995 Permanence of sparse catalytic networks. Zbl 0864.92013 Stadler, Peter F.; Schuster, Peter 2 1996 Symmetric circular matchings and RNA folding. Zbl 1232.05180 Hofacker, Ivo L.; Reidys, Christian M.; Stadler, Peter F. 2 2012 Phylogenetic footprinting and consistent sets of local aligments. Zbl 1339.92059 Otto, Wolfgang; Stadler, Peter F.; Prohaska, Sonja J. 2 2011 The dynamics of locally adaptive parties under spatial voting. Zbl 0910.90045 Miller, J. H.; Stadler, P. F. 2 1998 Barrier trees on poset-valued landscapes. Zbl 1009.68571 Stadler, Peter F.; Flamm, Christoph 2 2003 Immune networks modeled by replicator equations. Zbl 0823.92008 Stadler, Peter F.; Schuster, Peter; Perelson, Alan S. 2 1994 A prime factor theorem for a generalized direct product. Zbl 1114.05045 Imrich, Wilfried; Stadler, Peter F. 2 2006 Autocatalytic networks with translation. Zbl 0882.92012 Happel, Robert; Hecht, Robert; Stadler, Peter F. 2 1996 Dynamics of autocatalytic replicator networks based on higher-order ligation reactions. Zbl 1323.92101 Stadler, Bärbel M. R.; Stadler, Peter F.; Schuster, Peter 2 2000 Curve shortening by short rulers. Zbl 1337.53049 Stadler, Peter 2 2016 Algebraic dynamic programming for multiple context-free grammars. Zbl 1344.68112 Riechert, Maik; Höner zu Siederdissen, Christian; Stadler, Peter F. 2 2016 Complex adaptations and the structure of recombination spaces. Zbl 1032.92027 Wagner, Günter P.; Stadler, Peter F. 2 1999 Compatibility of partitions with trees, hierarchies, and split systems. Zbl 1486.05243 Hellmuth, Marc; Schaller, David; Stadler, Peter F. 2 2022 Generalized Fitch graphs. II: Sets of binary relations that are explained by edge-labeled trees. Zbl 1442.05031 Hellmuth, Marc; Seemann, Carsten R.; Stadler, Peter F. 2 2020 Exact-2-relation graphs. Zbl 1447.05198 Long, Yangjing; Stadler, Peter F. 2 2020 Alignments of mitochondrial genome arrangements: applications to metazoan phylogeny. Zbl 1447.92281 Fritzsch, Guido; Schlegel, Martin; Stadler, Peter F. 2 2006 Combinatorial vector fields and the valley structure of fitness landscapes. Zbl 1205.92057 Stadler, Bärbel M. R.; Stadler, Peter F. 2 2010 Unique square property, equitable partitions, and product-like graphs. Zbl 1281.05115 Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 2 2014 Indirect identification of horizontal gene transfer. Zbl 1467.92134 Schaller, David; Lafond, Manuel; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc 2 2021 Axiomatic characterization of transit functions of weak hierarchies. Zbl 1421.05029 Changat, Manoj; Narasimha-Shenoi, Prasanth G.; Stadler, Peter F. 2 2019 Visualization of barrier tree sequences revisited. Zbl 1255.68237 Heine, Christian; Scheuermann, Gerik; Flamm, Christoph; Hofacker, Ivo L.; Stadler, Peter F. 1 2008 Interchangeability of relevant cycles in graphs. Zbl 0939.05048 Gleiss, Petra M.; Leydold, Josef; Stadler, Peter F. 1 2000 Autocatalytic networks with intermediates. I: Irreversible reactions. Zbl 0897.92040 Hecht, Robert; Happel, Robert; Schuster, Peter; Stadler, Peter F. 1 1997 Associativity and non-associativity of some hypergraph products. Zbl 1349.05242 Hammack, Richard H.; Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 1 2016 From modular decomposition trees to rooted median graphs. Zbl 1482.05038 Bruckmann, Carmen; Stadler, Peter F.; Hellmuth, Marc 3 2022 Compatibility of partitions with trees, hierarchies, and split systems. Zbl 1486.05243 Hellmuth, Marc; Schaller, David; Stadler, Peter F. 2 2022 Whitney’s connectivity inequalities for directed hypergraphs. Zbl 1497.05193 Arguello, Anahy Santiago; Stadler, Peter F. 1 2022 Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149 Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 9 2021 Complexity of modification problems for best match graphs. Zbl 1500.92068 Schaller, David; Stadler, Peter F.; Hellmuth, Marc 6 2021 Corrigendum to: “Best match graphs”. Zbl 07340472 Schaller, David; Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F. 6 2021 Best match graphs with binary trees. Zbl 1480.92153 Schaller, David; Geiß, Manuela; Hellmuth, Marc; Stadler, Peter F. 4 2021 Indirect identification of horizontal gene transfer. Zbl 1467.92134 Schaller, David; Lafond, Manuel; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc 2 2021 Least resolved trees for two-colored best match graphs. Zbl 1489.05018 Schaller, David; Geiß, Manuela; Hellmuth, Marc; Stadler, Peter F. 1 2021 Generalized Fitch graphs. III: Symmetrized Fitch maps and sets of symmetric binary relations that are explained by unrooted edge-labeled trees. Zbl 1498.05058 Hellmuth, Marc; Seemann, Carsten R.; Stadler, Peter F. 1 2021 Compositional properties of alignments. Zbl 07465793 Berkemer, Sarah J.; Höner zu Siederdissen, Christian; Stadler, Peter F. 1 2021 Reciprocal best match graphs. Zbl 1433.05303 Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 8 2020 Best match graphs and reconciliation of gene trees with species trees. Zbl 1434.05035 Geiß, Manuela; Laffitte, Marcos E. González; Sánchez, Alitzel López; Valdivia, Dulce I.; Hellmuth, Marc; Rosales, Maribel Hernández; Stadler, Peter F. 8 2020 Cograph editing: merging modules is equivalent to editing \(P_{4}\)s. Zbl 1441.05195 Fritz, Adrian; Hellmuth, Marc; Stadler, Peter F.; Wieseke, Nicolas 5 2020 Complexity of modification problems for reciprocal best match graphs. Zbl 1443.92120 Hellmuth, Marc; Geiß, Manuela; Stadler, Peter F. 4 2020 Generalized Fitch graphs. II: Sets of binary relations that are explained by edge-labeled trees. Zbl 1442.05031 Hellmuth, Marc; Seemann, Carsten R.; Stadler, Peter F. 2 2020 Exact-2-relation graphs. Zbl 1447.05198 Long, Yangjing; Stadler, Peter F. 2 2020 Transit sets of \(k\)-point crossover operators. Zbl 1473.05212 Changat, Manoj; Narasimha-Shenoi, Prasanth G.; Nezhad, Ferdoos Hossein; Kovše, Matjaž; Mohandas, Shilpa; Ramachandran, Abisha; Stadler, Peter F. 1 2020 Best match graphs. Zbl 1415.92133 Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F. 18 2019 Axiomatic characterization of transit functions of weak hierarchies. Zbl 1421.05029 Changat, Manoj; Narasimha-Shenoi, Prasanth G.; Stadler, Peter F. 2 2019 Reconstructing gene trees from Fitch’s xenology relation. Zbl 1396.05025 Geiß, Manuela; Anders, John; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc 17 2018 A short note on undirected Fitch graphs. Zbl 1421.05076 Hellmuth, Marc; Long, Yangjing; Geiß, Manuela; Stadler, Peter F. 7 2018 Inferring phylogenetic trees from the knowledge of rare evolutionary events. Zbl 1386.05186 Hellmuth, Marc; Hernandez-Rosales, Maribel; Long, Yangjing; Stadler, Peter F. 6 2018 Rule composition in graph transformation models of chemical reactions. Zbl 1468.05289 Andersen, Jakob L.; Flamm, Christoph; Merkle, Daniel; Stadler, Peter F. 4 2018 Cover-encodings of fitness landscapes. Zbl 1398.92179 Klemm, Konstantin; Mehta, Anita; Stadler, Peter F. 1 2018 Towards mechanistic prediction of mass spectra using graph transformation. Zbl 1468.92063 Andersen, Jakob L.; Fagerberg, Rolf; Flamm, Christoph; Kianian, Rojin; Merkle, Daniel; Stadler, Peter F. 1 2018 Partially local multi-way alignments. Zbl 1403.68377 Retzlaff, Nancy; Stadler, Peter F. 1 2018 The mathematics of xenology: di-cographs, symbolic ultrametrics, 2-structures and tree-representable systems of binary relations. Zbl 1368.05023 Hellmuth, Marc; Stadler, Peter F.; Wieseke, Nicolas 21 2017 Forbidden time travel: characterization of time-consistent tree reconciliation maps. Zbl 1443.92122 Nøjgaard, Nikolai; Geiß, Manuela; Merkle, Daniel; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc 3 2017 Algebraic dynamic programming on trees. Zbl 1461.68094 Berkemer, Sarah J.; Höner zu Siederdissen, Christian; Stadler, Peter F. 1 2017 A software package for chemically inspired graph transformation. Zbl 1344.68105 Andersen, Jakob L.; Flamm, Christoph; Merkle, Daniel; Stadler, Peter F. 9 2016 Spectral classes of regular, random, and empirical graphs. Zbl 1327.05205 Gu, Jiao; Jost, Jürgen; Liu, Shiping; Stadler, Peter F. 7 2016 Curve shortening by short rulers. Zbl 1337.53049 Stadler, Peter 2 2016 Algebraic dynamic programming for multiple context-free grammars. Zbl 1344.68112 Riechert, Maik; Höner zu Siederdissen, Christian; Stadler, Peter F. 2 2016 Associativity and non-associativity of some hypergraph products. Zbl 1349.05242 Hammack, Richard H.; Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 1 2016 Connectivity spaces. Zbl 1398.54039 Stadler, Bärbel M. R.; Stadler, Peter F. 1 2015 50 shades of rule composition. From chemical reactions to higher levels of abstraction. Zbl 1402.92166 Andersen, Jakob Lykke; Flamm, Christoph; Merkle, Daniel; Stadler, Peter F. 4 2014 Convex cycle bases. Zbl 1301.05235 Hellmuth, Marc; Leydold, Josef; Stadler, Peter F. 3 2014 Curve shortening by short rulers. Zbl 1347.53005 Stadler, Peter 3 2014 Unique square property, equitable partitions, and product-like graphs. Zbl 1281.05115 Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 2 2014 Orthology relations, symbolic ultrametrics, and cographs. Zbl 1408.05038 Hellmuth, Marc; Hernandez-Rosales, Maribel; Huber, Katharina T.; Moulton, Vincent; Stadler, Peter F.; Wieseke, Nicolas 33 2013 Navigating the chemical space of HCN polymerization and hydrolysis: guiding graph grammars by mass spectrometry data. Zbl 1341.82105 Andersen, Jakob L.; Andersen, Tommy; Flamm, Christoph; Hanczyc, Martin M.; Merkle, Daniel; Stadler, Peter F. 1 2013 On the complexity of reconstructing chemical reaction networks. Zbl 1320.80005 Fagerberg, Rolf; Flamm, Christoph; Merkle, Daniel; Peters, Philipp; Stadler, Peter F. 1 2013 A survey on hypergraph products. Zbl 1262.05110 Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 11 2012 The Cartesian product of hypergraphs. Zbl 1242.05193 Ostermeier, Lydia; Hellmuth, Marc; Stadler, Peter F. 6 2012 Diagonalized Cartesian products of \(S\)-prime graphs are \(S\)-prime. Zbl 1232.05197 Hellmuth, Marc; Ostermeier, Lydia; Stadler, Peter F. 4 2012 Symmetric circular matchings and RNA folding. Zbl 1232.05180 Hofacker, Ivo L.; Reidys, Christian M.; Stadler, Peter F. 2 2012 Phylogenetic footprinting and consistent sets of local aligments. Zbl 1339.92059 Otto, Wolfgang; Stadler, Peter F.; Prohaska, Sonja J. 2 2011 Innovation in gene regulation: the case of chromatin computation. Zbl 1406.92207 Prohaska, Sonja J.; Stadler, Peter F.; Krakauer, David C. 3 2010 Combinatorial vector fields and the valley structure of fitness landscapes. Zbl 1205.92057 Stadler, Bärbel M. R.; Stadler, Peter F. 2 2010 Reconstruction of pedigrees in clonal plant populations. Zbl 1338.92090 Riester, Markus; Stadler, Peter F.; Klemm, Konstantin 1 2010 Local algorithms for the prime factorization of strong product graphs. Zbl 1205.05222 Hellmuth, Marc; Imrich, Wilfried; Klöckl, Werner; Stadler, Peter F. 8 2009 A note on fundamental, non-fundamental, and robust cycle bases. Zbl 1163.92002 Klemm, Konstantin; Stadler, Peter F. 7 2009 Approximate graph products. Zbl 1210.05125 Hellmuth, Marc; Imrich, Wilfried; Klöckl, Werner; Stadler, Peter F. 6 2009 A note on quasi-robust cycle bases. Zbl 1216.05019 Ostermeier, Philipp-Jens; Hellmuth, Marc; Leydold, Josef; Klemm, Konstantin; Stadler, Peter F. 5 2009 Funnels in energy landscapes. Zbl 1189.60137 Klemm, K.; Flamm, C.; Stadler, P. F. 2 2008 Visualization of barrier tree sequences revisited. Zbl 1255.68237 Heine, Christian; Scheuermann, Gerik; Flamm, Christoph; Hofacker, Ivo L.; Stadler, Peter F. 1 2008 Variations on RNA folding and alignment: Lessons from Benasque. Zbl 1211.90191 Bompfünewerer, Athanasius F.; Backofen, Rolf; Bernhart, Stephan H.; Hertel, Jana; Hofacker, Ivo L.; Stadler, Peter F.; Will, Sebastian 1 2008 Laplacian eigenvectors of graphs. Perron-Frobenius and Faber-Krahn type theorems. Zbl 1129.05001 Biyikoğlu, Türker; Leydold, Josef; Stadler, Peter F. 48 2007 Saddles and barrier in landscapes of generalized search operators. Zbl 1196.68229 Flamm, Christoph; Hofacker, Ivo L.; Stadler, Bärbel M. R.; Stadler, Peter F. 5 2007 Evolving towards the hypercycle: a spatial model of molecular evolution. Zbl 1090.92027 Attolini, Camille Stephan-Otto; Stadler, Peter F. 5 2006 A prime factor theorem for a generalized direct product. Zbl 1114.05045 Imrich, Wilfried; Stadler, Peter F. 2 2006 Alignments of mitochondrial genome arrangements: applications to metazoan phylogeny. Zbl 1447.92281 Fritzsch, Guido; Schlegel, Martin; Stadler, Peter F. 2 2006 Nodal domain theorems and bipartite subgraphs. Zbl 1090.05046 Bıyıkoğlu, Türker; Leydold, Josef; Stadler, Peter F. 3 2005 Efficient computation of RNA folding dynamics. Zbl 1050.81729 Wolfinger, Michael T.; Svrcek-Seiler, W. Andreas; Flamm, Christoph; Hofacker, Ivo L.; Stadler, Peter F. 11 2004 Graph Laplacians, nodal domains, and hyperplane arrangements. Zbl 1050.05081 Bıyıkoğlu, Türker; Hordijk, Wim; Leydold, Josef; Pisanski, Tomaž; Stadler, Peter F. 6 2004 Minimum cycle bases of Halin graphs. Zbl 1022.05041 Stadler, Peter F. 15 2003 Centers of complex networks. Zbl 1464.92114 Wuchty, Stefan; Stadler, Peter F. 12 2003 Molecular replicator dynamics. Zbl 1040.92010 Stadler, Bärbel M. R.; Stadler, Peter F. 11 2003 Circuit bases of strongly connected digraphs. Zbl 1055.05068 Gleiss, Petra M.; Leydold, Josef; Stadler, Peter F. 10 2003 Quasi-independence, homology and the unity of type: a topological theory of characters. Zbl 1464.92211 Wagner, Günter P.; Stadler, Peter F. 6 2003 Higher separation axioms in generalized closure spaces. Zbl 1049.54002 Stadler, Bärbel M. R.; Stadler, Peter F. 5 2003 Barrier trees on poset-valued landscapes. Zbl 1009.68571 Stadler, Peter F.; Flamm, Christoph 2 2003 Combinatorial landscapes. Zbl 0996.92026 Reidys, Christian M.; Stadler, Peter F. 37 2002 Fast Fourier transform for fitness landscapes. Zbl 1004.92028 Rockmore, Dan; Kostelec, Peter; Hordijk, Wim; Stadler, Peter F. 11 2002 Landscapes on spaces of trees. Zbl 1016.92024 Bastert, Oliver; Rockmore, Dan; Stadler, Peter F.; Tinhofer, Gottfried 6 2002 Minimum cycle bases of product graphs. Zbl 1009.05078 Imrich, Wilfried; Stadler, Peter F. 5 2002 Fractal geometry of spin-glass models. Zbl 0995.82037 Fontanari, José F.; Stadler, Peter F. 3 2002 Discrete nodal domain theorems. Zbl 0990.05093 Davies, E. Brian; Gladwell, Graham M. L.; Leydold, Josef; Stadler, Peter F. 39 2001 Neutrality in fitness landscapes. Zbl 1113.92314 Reidys, Christian M.; Stadler, Peter F. 12 2001 Relevant cycles in chemical reaction networks. Zbl 1028.05108 Gleiss, Petra M.; Stadler, Peter F.; Wagner, Andreas; Fell, David A. 11 2001 Population dependent Fourier decomposition of fitness landscapes over recombination spaces: evolvability of complex characters. Zbl 1323.92135 Stadler, Peter F.; Seitz, Rudi; Wagner, Günter P. 8 2000 Landscape statistics of the low-autocorrelation binary string problem. Zbl 0970.82020 Ferreira, Fernando F.; Fontanari, José F.; Stadler, Peter F. 3 2000 Dynamics of autocatalytic replicator networks based on higher-order ligation reactions. Zbl 1323.92101 Stadler, Bärbel M. R.; Stadler, Peter F.; Schuster, Peter 2 2000 Interchangeability of relevant cycles in graphs. Zbl 0939.05048 Gleiss, Petra M.; Leydold, Josef; Stadler, Peter F. 1 2000 RNA structures with pseudo-knots: graph-theoretical, combinatorial, and statistical properties. Zbl 1323.92149 Haslinger, Christian; Stadler, Peter F. 26 1999 Random field models for fitness landscapes. Zbl 0982.92024 Stadler, Peter F.; Happel, Robert 14 1999 Equitable partitions, coherent algebras and random walks: Applications to the correlation structure of landscapes. Zbl 1029.05128 Stadler, P. F.; Tinhofer, G. 8 1999 Autocatalytic replication in a CSTR and constant organization. Zbl 1002.92563 Happel, Robert; Stadler, Peter F. 3 1999 Metastable states in short-ranged \(p\)-spin glasses. Zbl 0962.82079 De Oliveira, Viviane M.; Fontanari, José F.; Stadler, Peter F. 2 1999 Complex adaptations and the structure of recombination spaces. Zbl 1032.92027 Wagner, Günter P.; Stadler, Peter F. 2 1999 Combinatorics of RNA secondary structures. Zbl 0918.05004 Hofacker, Ivo L.; Schuster, Peter; Stadler, Peter F. 48 1998 Minimal cycle bases of outerplanar graphs. Zbl 0895.05032 Leydold, Josef; Stadler, Peter F. 17 1998 Amplitude spectra of fitness landscapes. Zbl 0927.92026 Hordijk, Wim; Stadler, Peter F. 8 1998 Selection dynamics in autocatalytic systems: Templates replicating through binary ligation. Zbl 0942.92015 Wills, Peter R.; Kauffman, Stuart A.; Stadler, Bärbel M. R.; Stadler, Peter F. 4 1998 The dynamics of locally adaptive parties under spatial voting. Zbl 0910.90045 Miller, J. H.; Stadler, P. F. 2 1998 Generic properties of combinatory maps: Neutral networks of RNA secondary structures. Zbl 0925.92006 Reidys, Christian; Stadler, Peter F.; Schuster, Peter 16 1997 Autocatalytic networks with intermediates. I: Irreversible reactions. Zbl 0897.92040 Hecht, Robert; Happel, Robert; Schuster, Peter; Stadler, Peter F. 1 1997 Landscapes and their correlation functions. Zbl 1002.92547 Stadler, Peter F. 32 1996 Permanence of sparse catalytic networks. Zbl 0864.92013 Stadler, Peter F.; Schuster, Peter 2 1996 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 882 Authors 82 Stadler, Peter F. 46 Hellmuth, Marc 25 Reidys, Christian Michael 12 Geiß, Manuela 9 Sardanyés, Josep 9 Schaller, David 9 Schuster, Peter 8 Clote, Peter G. 8 Wieseke, Nicolas 7 Jin, Emma Yu 7 Ren, Han 7 Stadler, Bärbel M. R. 6 Behr, Nicolas 6 Hernandez-Rosales, Maribel 6 Moulton, Vincent L. 6 Ostermeier, Lydia 5 Albrecht, Andreas A. 5 Bíyíkoğlu, Türker 5 Carmona, Ángeles 5 Huber, Katharina T. 5 Jost, Jürgen 5 Klemm, Konstantin 5 Krug, Joachim 5 Leydold, Josef 5 Merkle, Daniel 5 Scholz, Guillaume E. 5 Solé, Ricard V. 5 Zhang, Dong 4 Barnes, J. Wesley 4 Gurski, Frank 4 Komander, Dominique 4 Long, Yangjing 4 Mitjana, Margarida 4 Mulas, Raffaella 4 Schneider, Johannes J. 4 Seemann, Carsten R. 4 Sinaimeri, Blerina 4 Valdivia, Dulce I. 3 Acuña, Vicente 3 Andersen, Jakob Lykke 3 Band, Ram 3 Bendito, Enrique 3 Berkemer, Sarah J. 3 Berkolaiko, Gregory 3 Borga, Jacopo 3 Cardoso, Domingos Moreira 3 Chakraborty, Sagar 3 Changat, Manoj 3 Chicano, Francisco 3 Daneshgar, Amir 3 Deng, Mo 3 Dimova, B. 3 Doungmo Goufo, Emile Franc 3 Encinas, Andrés M. 3 Flamm, Christoph 3 Fontich, Ernest 3 Hammack, Richard H. 3 Happel, Robert 3 Hofacker, Ivo L. 3 Höner zu Siederdissen, Christian 3 Hossein Nezhad, Ferdoos 3 Italiano, Giuseppe Francesco 3 Kainen, Paul C. 3 Kammerdiner, Alla R. 3 Klavžar, Sandi 3 Kranakis, Evangelos Konstantinou 3 Krivine, Jean 3 Krizanc, Danny 3 Lafond, Manuel 3 Li, Min 3 Li, Thomas J. X. 3 Liu, Shiping 3 López Sánchez, Alitzel 3 Mehta, Anita 3 Mukhopadhyay, Archan 3 Nuño, Juan Carlos 3 Penaguiao, Raul 3 Rama, Paula 3 Rehs, Carolin 3 Richter, Hendrik 3 Sagot, Marie-France 3 Schmiegelt, Benjamin 3 St. John, Katherine 3 Steinhöfel, Kathleen K. 3 Tomassini, Marco 3 Vanneschi, Leonardo 3 Verel, Sebastien 3 Vogiatzis, Chrysafis 3 Wagner, Günter P. 3 Wang, Tianming 3 Zissimopoulos, Vassilis 2 Adami, Christoph 2 Aita, Takuyo 2 Alba, Enrique 2 Amadori, Anna Lisa 2 Angel, Eric 2 Araúz, Cristina 2 Atangana, Abdon 2 Attolini, Camille Stephan-Otto 2 Backofen, Rolf ...and 782 more Authors all top 5 Cited in 158 Serials 35 Journal of Theoretical Biology 29 Journal of Mathematical Biology 28 Linear Algebra and its Applications 27 Discrete Applied Mathematics 20 Theoretical Computer Science 18 Bulletin of Mathematical Biology 16 Discrete Mathematics 13 Mathematical Biosciences 9 Advances in Complex Systems 8 Applied Mathematics and Computation 8 Physica D 8 Graphs and Combinatorics 8 Applied Mathematics Letters 8 Mathematics in Computer Science 7 Journal of Statistical Physics 7 Computers & Operations Research 7 The Art of Discrete and Applied Mathematics 6 Information Processing Letters 6 Physica A 6 European Journal of Combinatorics 6 Advances in Applied Mathematics 6 Algorithmica 6 Journal of Combinatorial Optimization 5 Theoretical Population Biology 5 SIAM Journal on Discrete Mathematics 5 Journal of Physics A: Mathematical and Theoretical 4 Chaos, Solitons and Fractals 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Chaos 3 Biological Cybernetics 3 Journal of Mathematical Analysis and Applications 3 Information Sciences 3 European Journal of Operational Research 3 Calculus of Variations and Partial Differential Equations 3 Applied and Computational Harmonic Analysis 3 Journal of Difference Equations and Applications 3 Journal of Heuristics 3 INFORMS Journal on Computing 3 Journal of Mathematical Chemistry 3 Journal of Graph Algorithms and Applications 3 International Journal of Modern Physics C 3 Computational Biology and Chemistry 3 The European Physical Journal B. 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English Series 1 Probability Theory and Related Fields 1 Constructive Approximation ...and 58 more Serials all top 5 Cited in 44 Fields 261 Combinatorics (05-XX) 224 Biology and other natural sciences (92-XX) 102 Computer science (68-XX) 79 Operations research, mathematical programming (90-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Probability theory and stochastic processes (60-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Ordinary differential equations (34-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Numerical analysis (65-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Partial differential equations (35-XX) 13 Quantum theory (81-XX) 10 Operator theory (47-XX) 9 General topology (54-XX) 9 Systems theory; control (93-XX) 8 Statistics (62-XX) 7 Information and communication theory, circuits (94-XX) 6 Group theory and generalizations (20-XX) 6 Convex and discrete geometry (52-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Potential theory (31-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 4 Category theory; homological algebra (18-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year