Edit Profile (opens in new tab) Deza, Michel Marie (b. 1939 d. 2016) Co-Author Distance Author ID: deza.michel-marie Published as: Deza, Michel; Deza, M.; Deza, Michel Marie; Deza, Mikhail; Deza, M.-M.; Deza, Michel-Marie; Deza, Michel M.; Deza, M. E.; Deza, M. M. more...less Further Spellings: Деза Мишель-Мари External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 231 Publications since 1965, including 12 Books and 10 Additional arXiv Preprints 8 Contributions as Editor · 3 Further Contributions Biographic References: 5 Publications Co-Authors: 72 Co-Authors with 215 Joint Publications 3,201 Co-Co-Authors all top 5 Co-Authors 25 single-authored 36 Dutour-Sikiric, Mathieu 32 Grishukhin, Vyacheslav Petrovich 32 Shtogrin, Mikhail Ivanovich 27 Laurent, Monique 20 Frankl, Péter 13 Deza, Elena Ivanovna 10 Rosenberg, Ivo G. 7 Singhi, Navin Madhavprasad 6 Cameron, Peter Jephson 6 Erdős, Pál 6 Vanstone, Scott Alexander 5 Deza, Antoine 5 Hamada, Noboru 5 Huang, Tayuan 5 Shpectorov, Sergey Viktorovich 4 Cohen, Gérard Denis 4 Maehara, Hiroshi 3 Alahmadi, Adel N. 3 Fowler, Patrick W. 3 Mullin, Ronald Cleveland 3 Solé, Patrick 2 Assouad, Patrice 2 Babai, László 2 Chebotarev, Pavel Yu. 2 Delgado-Friedrichs, Olaf 2 Fukuda, Komei 2 Grötschel, Martin 2 Hirschfeld, James William Peter 2 Pankov, Mark 2 Poljak, Svatopluk 1 Alhazmi, Husain 1 Ali, Shakir 1 Andoni, Alexandr 1 Artmann, Benno 1 Artzy, Rafael 1 Avis, David M. 1 Bannai, Eiichi 1 Bermond, Jean-Claude 1 Bichara, Alessandro 1 Blake, Ian F. 1 Bonetti, Flavio 1 Bonisoli, Arrigo 1 Brouwer, Andries Evert 1 Ceulemans, Arnout Jozef 1 Charit, Y. 1 Chepoi, Victor D. 1 Civolani, Nino 1 Cobourn, Charles J. 1 Daykin, D. K. 1 de La Vaissière, Benoit 1 de Resmini, Marialuisa Joyce 1 De Simone, Caterina 1 Debroni, Sean 1 Delisle, Erin 1 Descartes, Blanche 1 Deuber, Walter A. 1 Eades, Peter 1 Eggleton, Roger B. 1 Ellers, Erich Werner 1 Euler, Reinhardt 1 Fiedler, Miroslav 1 Geréb, Mihály 1 Graham, Ronald Lewis 1 Grünbaum, Branko 1 Gupta, Anupam 1 Gutman, Ivan M. 1 Gyárfás, András 1 Häggkvist, Roland 1 Harborth, Heiko 1 Hartman, Alan 1 Heise, Werner 1 Hergesell, Gerhard A. 1 Hilton, Anthony J. W. 1 Hoede, Cornelis 1 Hoffman, Frederick 1 Holton, Derek Allan 1 Hotja, H. 1 Ihringer, Thomas 1 Indyk, Piotr 1 Johnson, David Stifler 1 Junkers, Wilhelm 1 Kaerlein, Gerd 1 Karpovsky, Mark G. 1 Karzel, Helmut 1 Katona, Gyula O. H. 1 Kim, Ann Chi 1 Knüppel, Frieder 1 Kroll, Hans-Joachim 1 Kurepa, Đuro R. 1 Lang, Konrad 1 Lih, Ka-Wei 1 Lijnen, Erwin 1 Lovász, László 1 Manoussakis, Ioannis 1 Manoussakis, Yannis G. 1 Marchi, Mario 1 Mazzoca, F. 1 Melone, Nicola 1 Milman, Vitali D. 1 Myrvold, Wendy J. ...and 47 more Co-Authors all top 5 Serials 14 Discrete Mathematics 14 European Journal of Combinatorics 11 Russian Mathematical Surveys 6 Discrete Applied Mathematics 5 Journal of Statistical Planning and Inference 5 Southeast Asian Bulletin of Mathematics 5 Combinatorica 5 Graphs and Combinatorics 4 Journal of Combinatorics, Information & System Sciences 4 Bulletin of the Institute of Mathematics. Academia Sinica 3 Cahiers du Centre d’Études de Recherche Opérationnelle 3 Journal of Combinatorial Theory. Series A 3 Mathematika 3 Discrete & Computational Geometry 2 Acta Universitatis Carolinae. Mathematica et Physica 2 Mathematical Notes 2 The Fibonacci Quarterly 2 Geometriae Dedicata 2 Journal of Algebra 2 Journal of Computational and Applied Mathematics 2 Journal of Geometry 2 Proceedings of the London Mathematical Society. Third Series 2 Utilitas Mathematica 2 Rendiconti del Seminario Matemàtico di Brescia 2 Linear Algebra and its Applications 2 Mathematical Programming. Series A. Series B 2 Combinatorics, Probability and Computing 2 Izvestiya: Mathematics 2 Journal of Mathematical Chemistry 2 Taiwanese Journal of Mathematics 2 Algorithms and Combinatorics 2 Annals of Discrete Mathematics 2 Ars Mathematica Contemporanea 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Journal of Geometry and Physics 1 Ars Combinatoria 1 Canadian Journal of Mathematics 1 Information and Control 1 Journal of Combinatorial Theory. Series B 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Mathematics of Operations Research 1 Networks 1 Proceedings of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Revista Técnica de la Facultad de Ingenieria 1 Journal of Mathematical Research & Exposition 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Applicandae Mathematicae 1 American Journal of Mathematical and Management Sciences 1 Journal of Symbolic Computation 1 Ryukyu Mathematical Journal 1 Aequationes Mathematicae 1 Problemy Peredachi Informatsii 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 Bulletin of the Institute of Combinatorics and its Applications 1 The Electronic Journal of Combinatorics 1 Symmetry: Culture and Science 1 International Transactions in Operational Research 1 Multiple-Valued Logic 1 RIMS Kokyuroku 1 Mathématiques et Sciences Humaines 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Revue du CETHEDEC 1 Contributions to Discrete Mathematics 1 Chebyshevskiĭ Sbornik 1 Encyclopedia of Mathematics and Its Applications 1 Lecture Notes in Computer Science 1 London Mathematical Society Lecture Note Series 1 Optimization Letters 1 Acta Crystallographica. Section A 1 Forum for Interdisciplinary Mathematics all top 5 Fields 156 Combinatorics (05-XX) 88 Convex and discrete geometry (52-XX) 36 Geometry (51-XX) 22 Operations research, mathematical programming (90-XX) 18 Information and communication theory, circuits (94-XX) 17 Number theory (11-XX) 17 Group theory and generalizations (20-XX) 13 Biology and other natural sciences (92-XX) 11 General and overarching topics; collections (00-XX) 8 General topology (54-XX) 8 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 5 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Algebraic topology (55-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 181 Publications have been cited 1,945 times in 1,310 Documents Cited by ▼ Year ▼ Geometry of cuts and metrics. Zbl 0885.52001 Deza, Michel Marie; Laurent, Monique 284 1997 Encyclopedia of distances. Zbl 1167.51001 Deza, Michel Marie; Deza, Elena 154 2009 On the maximum number of permutations with given maximal or minimal distance. Zbl 0352.05003 Frankl, Peter; Deza, Mikhail 102 1977 Erdős-Ko-Rado theorem - 22 years later. Zbl 0526.05001 Deza, M.; Frankl, P. 95 1983 Geometry of cuts and metrics. Paperback reprint of the 1997 original. Zbl 1210.52001 Deza, Michel Marie; Laurent, Monique 62 2010 Intersection properties of systems of finite sets. Zbl 0407.05006 Deza, M.; Erdős, Paul; Frankl, P. 46 1978 Encyclopedia of distances. 4th edition. Zbl 1351.51001 Deza, Michel Marie; Deza, Elena 39 2016 Encyclopedia of distances. 3rd ed. Zbl 1301.51001 Deza, Michel Marie; Deza, Elena 34 2014 Facets for the cut cone. I. Zbl 0768.90074 Deza, Michel; Laurent, Monique 32 1992 The ridge graph of the metric polytope and some relatives. Zbl 0809.52017 Deza, Antoine; Deza, Michel 31 1994 Une propriété extremale des plans projectifs finis dans une classe de codes équidistants. Zbl 0271.94006 Deza, M. 30 1973 Metrics on permutations, a survey. Zbl 1217.05038 Deza, Michel; Huang, Tayuan 28 1998 Clique-web facets for multicut polytopes. Zbl 0762.90079 Deza, M.; Grötschel, M.; Laurent, M. 27 1992 Espaces métriques plongeables dans un hypercube: aspects combinatoires. Zbl 0464.05029 Assouad, Patrice; Deza, Michel 27 1980 The cut cone, \(L^ 1\) embeddability, complexity, and multicommodity flows. Zbl 0748.90015 Avis, David; Deza, Michel 26 1991 Bounds for permutation arrays. Zbl 0384.05026 Deza, M.; Vanstone, S. A. 26 1978 The hypermetric cone is polyhedral. Zbl 0801.52009 Deza, M.; Grishukhin, V. P.; Laurent, M. 22 1993 Applications of cut polyhedra. II. Zbl 0826.52013 Deza, Michel; Laurent, Monique 21 1994 Facets for the cut cone. II: Clique-web inequalities. Zbl 0768.90075 Deza, Michel; Laurent, Monique 21 1992 Coding with permutations. Zbl 0415.94010 Blake, Ian F.; Cohen, Gerard; Deza, Mikhail 20 1979 On permutation geometries. Zbl 0449.05016 Cameron, P. J.; Deza, M. 20 1979 Encyclopedia of distances. 2nd ed. Zbl 1259.51001 Deza, Michel Marie; Deza, Elena 20 2013 Matrices des formes quadratiques non négatives pour des arguments binaires. Zbl 0275.05014 Deza, Mikhail 19 1973 Application of cut polyhedra. I. Zbl 0826.52012 Deza, Michel; Laurent, Monique 17 1994 Solution d’un problème de Erdős-Lovasz. Zbl 0263.05007 Deza, M. 17 1974 Extreme hypermetrics and \(L\)-polytopes. Zbl 0784.11027 Deza, M.; Grishukhin, V. P.; Laurent, M. 17 1992 Clin d’oeil on \(L_1\)-embeddable planar graphs. Zbl 0892.05018 Chepoi, Victor; Deza, Michel; Grishukin, Viatcheslav 16 1997 The symmetries of the cut polytope and of some relatives. Zbl 0748.05061 Deza, M.; Grishukhin, V. P.; Laurent, M. 16 1991 Characterization of \(\{2(q+1)+2,2;t,q\}\)-\(\min \cdot hypers\) in PG(t,q) (t\(\geq 3,q\geq 5)\) and its applications to error-correcting codes. Zbl 0678.94010 Hamada, Noboru; Deza, Michel 15 1988 Sharp sets of permutations. Zbl 0648.20005 Cameron, P. J.; Deza, M.; Frankl, P. 14 1987 On functions of strength t. Zbl 0528.05012 Deza, M.; Frankl, P.; Singhi, N. M. 14 1983 A characterization of some (n,k,d;q)-codes meeting the Griesmer bound for given integers k\(\geq 3\), q\(\geq 5\) and \(d=q^{k-1}-q^{\alpha}- q^{\beta}-q^ r\) \((0\leq \alpha \leq \beta <\gamma <k-1\) or \(0\leq \alpha <\beta \leq k-1)\). Zbl 0663.05015 Hamada, Noboru; Deza, Michel 12 1988 Every large set of equidistant (0,+1,-1)-vectors forms a sunflower. Zbl 0491.05045 Deza, M.; Frankl, P. 12 1981 Recognition of the \(\ell_ 1\)-graphs with complexity \(O(nm)\), or Football in a hypercube. Zbl 0854.05093 Deza, M.; Shpectorov, S. 12 1996 Figurate numbers. Zbl 1258.11001 Deza, Elena; Deza, Michel Marie 12 2012 Scale-isometric polytopal graphs in hypercubes and cubic lattices. Polytopes in hypercubes and \(Z_n\). Zbl 1054.52007 Deza, Michel; Grishukhin, V.; Shtogrin, M. 12 2004 Hypermetric graphs. Zbl 0795.05120 Deza, M.; Grishukhin, P. 12 1993 \(n\)-semimetrics. Zbl 0988.54029 Deza, M.-M.; Rosenberg, I. G. 11 2000 Fullerenes and coordination polyhedra versus half-cube embeddings. Zbl 0951.92034 Deza, Antoine; Deza, Michel; Grishukhin, Viatcheslav 11 1998 \(\ell_ 1\)-rigid graphs. Zbl 0802.05066 Deza, M.; Laurent, M. 11 1994 Metric transforms and euclidean embeddings. Zbl 0685.51010 Deza, M.; Maehara, H. 10 1990 Quasi-semi-metrics, oriented multi-cuts and related polyhedra. Zbl 0966.52010 Deza, Michel; Panteleeva, Elena 10 2000 The classification of finite connected hypermetric spaces. Zbl 0618.05043 Terwilliger, Paul; Deza, Michel 10 1987 Geometry of chemical graphs. Polycycles and two-faced maps. Zbl 1153.05065 Deza, Michel; Dutour Sikirić, Mathieu 9 2008 Metric subspaces of \(L^ 1\). Zbl 0478.05021 Assouad, Patrice; Deza, Michel 9 1982 On the vector space of 0-configurations. Zbl 0512.05046 Deza, M.; Frankl, P. 9 1982 The cut cone. III: On the role of triangle facets. Zbl 0777.90047 Deza, Michel; Laurent, Monique; Poljak, Svatopluk 9 1992 Collapsing and lifting for the cut cone. Zbl 0799.90099 De Simone, Caterina; Deza, Michel; Laurent, Monique 9 1994 A Helly type theorem for hypersurfaces. Zbl 0614.52008 Deza, M.; Frankl, P. 8 1987 Complete descriptions of small multicut polytopes. Zbl 0737.52007 Deza, M.; Grötschel, M.; Laurent, M. 8 1991 A characterization of \(\{ 2\upsilon{}_{\alpha{}+1}+2\upsilon{}_{\beta{}+1},2\upsilon_ \alpha{}+2\upsilon{}_ \beta{} ;t,q\}\)-minihypers in PG\((t,q)(t\geq 2,q\geq 5\) and \(0\leq\alpha{}<\beta{}<t)\) and its applications to error- correcting codes. Zbl 0746.51015 Hamada, Noboru; Deza, Michel 8 1991 Voronoi polytopes for polyhedral norms on lattices. Zbl 1342.52015 Deza, Michel; Dutour Sikirić, Mathieu 8 2015 Bounds on the maximum number of vectors with given scalar products. Zbl 0643.05041 Deza, M.; Frankl, P. 7 1985 A characterization of \(\{v_{\mu +1}+\epsilon,v_{\mu};t,q\}\)-min\(\cdot hypers\) and its applications to error-correcting codes and factorial designs. Zbl 0678.94011 Hamada, Noboru; Deza, Michel 7 1989 A survey of recent works with respect to a characterization of an (n,k,d;q)-code meeting the Griesmer bound using a min\(\cdot hyper\) in a finite projective geometry. Zbl 0687.05014 Hamada, Noboru; Deza, Michel 7 1989 Injection geometries. Zbl 0553.05031 Deza, M.; Frankl, P. 7 1984 Embeddings of chemical graphs in hypercubes. Zbl 0982.05096 Deza, M.; Shtogrin, M. I. 7 2000 Properties of parallelotopes equivalent to Voronoi’s conjecture. Zbl 1057.52012 Deza, Michel; Grishukhin, Viacheslav 7 2004 Matrices dont deux lignes quelconque coincident dans un nombre donne de positions communes. Zbl 0325.05014 Deza, M. 7 1976 Zigzag structures of simple two-faced polyhedra. Zbl 1059.05037 Deza, Michel; Dutour, Mathieu 7 2005 The inequicut cone. Zbl 0801.52006 Deza, Michel; Fukuda, Komei; Laurent, Monique 7 1993 A few applications of negative-type inequalities. Zbl 0813.05024 Deza, M.; Maehara, H. 7 1994 Enumeration of the facets of cut polytopes over some highly symmetric graphs. Zbl 1348.90537 Deza, Michel; Dutour Sikirić, Mathieu 7 2016 Geometric structure of chemistry-relevant graphs. Zigzags and central circuits. Zbl 1320.05002 Deza, Michel-Marie; Dutour Sikirić, Mathieu; Shtogrin, Mikhail Ivanovitch 7 2015 Types and boundary uniqueness of polypentagons. Zbl 1146.05041 Deza, M.; Shtogrin, M. I. 6 2006 Lattice-free polytopes and their diameter. Zbl 0817.52018 Deza, M.; Onn, S. 6 1995 Hypermetrics in geometry of numbers. Zbl 1071.52500 Deza, M.; Grishukhin, V. P.; Laurent, M. 6 1995 A note on \(l_ 1\)-rigid planar graphs. Zbl 0851.05047 Deza, M.; Tůma, J. 6 1996 New results on facets of the cut cone. Zbl 1230.05173 Deza, Michel; Laurent, Monique 6 1992 The symetries of cubic polyhedral graphs with face size no larger than 6. Zbl 1199.52028 Deza, Michel; Dutour Sikirić, Mathieu; Fowler, Patrick W. 6 2009 Small cones of oriented semi-metrics. Zbl 1081.52013 Deza, Michel; Dutour, Mathieu; Panteleeva, Elena 6 2002 Room squares and equidistant permutation arrays. Zbl 0351.05017 Deza, M.; Mullin, R. C.; Vanstone, S. A. 6 1976 Perfect matroid designs. Zbl 0773.05035 Deza, M. 6 1992 A zoo of \(\ell_ 1\)-embeddable polytopal graphs. Zbl 0886.05056 Deza, M.; Grishukhin, V. P. 6 1997 Finite commutative Moufang loops, related matroids, and association schemes. Zbl 0456.05022 Deza, M. 6 1980 The even and odd cut polytopes. Zbl 0783.52008 Deza, Michel; Laurent, Monique 6 1993 Generalizations of finite metrics and cuts. Zbl 1362.51001 Deza, Elena; Deza, Michel; Dutour-Sikirić, Mathieu 6 2016 Space fullerenes: a computer search for new Frank-Kasper structures. Zbl 1370.82015 Dutour Sikirić, Mathieu; Delgado-Friedrichs, Olaf; Deza, Michel 6 2010 Fullerenes and disk-fullerenes. Zbl 1281.52003 Deza, M.; Dutour Sikirić, M.; Shtogrin, M. I. 6 2013 Bouquets of maroids, d-injection geometries and diagrams. Zbl 0633.05020 Deza, Michel; Laurent, Monique 5 1987 Lower bounds for embedding edit distance into normed spaces. Zbl 1092.68685 Andoni, A.; Deza, M.; Gupta, Anupam; Indyk, P.; Raskhodnikova, S. 5 2003 Goldberg-Coxeter construction for 3- and 4-valent plane graphs. Zbl 1053.52013 Dutour, Mathieu; Deza, Michel 5 2004 The hypermetric cone on seven vertices. Zbl 1101.11021 Deza, Michel; Dutour, Mathieu 5 2003 Extremal and nonextendible polycycles. Zbl 1067.05021 Deza, M.; Shtogrin, M. I. 5 2002 Extension operations for cuts. Zbl 0767.05012 Deza, Michel; Laurent, Monique 5 1992 Cardinalites de sommets et d’aretes d’hypergraphes satisfaisant à certaines conditions sur l’intersection d’aretes. Zbl 0429.05056 Deza, M.; Rosenberg, I. 5 1978 Combinatorial problems on subsets and their intersections. Zbl 0434.05001 Deza, M.; Erdős, Paul; Singhi, N. M. 5 1978 On permutation cliques. Zbl 0458.05004 Deza, M. 5 1980 Cones of partial metrics. Zbl 1323.51004 Deza, Michel; Deza, Elena 5 2011 On squashed designs. Zbl 0636.05017 Deza, M.; Frankl, P. 4 1986 Small pentagonal spaces. Zbl 0546.52006 Deza, M. 4 1984 Small pentagonal spaces. Zbl 0557.05059 Deza, M. 4 1984 Polyhexes that are \(\ell _1\) graphs. Zbl 1221.05110 Deza, M.; Shpectorov, S. 4 2009 Primitive polycycles and hélicenes. Zbl 0953.05035 Deza, M.; Shtogrin, M. I. 4 1999 Graphs \(4_n\) that are isometrically embeddable in hypercubes. Zbl 1079.05024 Deza, Michel; Dutour Sikirić, Mathieu; Shpectorov, Sergey 4 2005 Zigzag structure of complexes. Zbl 1080.52504 Deza, Michel; Dutour, Mathieu 4 2005 On sharply edge-transitive permutation groups. Zbl 0475.05042 Babai, Laszlo; Cameron, Peter J.; Deza, Michel; Singhi, Navin M. 4 1981 More icosahedral fulleroids. Zbl 0963.51009 Friedrichs, Olaf Delgado; Deza, Michel 4 2000 Nonrigidity degrees of root lattices and their duals. Zbl 1073.11044 Deza, Michel; Grishukhin, Viacheslav 4 2004 Small cones of \(m\)-hemimetrics. Zbl 1072.52010 Deza, M.-M.; Rosenberg, I. G. 4 2005 Generalized cut and metric polytopes of graphs and simplicial complexes. Zbl 1442.05253 Deza, Michel; Dutour Sikirić, Mathieu 3 2020 The joint weight enumerator of an LCD code and its dual. Zbl 1445.94033 Alahmadi, Adel; Deza, Michel; Dutour-Sikirić, Mathieu; Solé, Patrick 4 2019 Zigzag structure of thin chamber complexes. Zbl 1405.51007 Deza, Michel; Pankov, Mark 2 2018 The hypermetric cone and polytope on eight vertices and some generalizations. Zbl 1390.68716 Deza, Michel; Dutour Sikirić, Mathieu 2 2018 Encyclopedia of distances. 4th edition. Zbl 1351.51001 Deza, Michel Marie; Deza, Elena 39 2016 Enumeration of the facets of cut polytopes over some highly symmetric graphs. Zbl 1348.90537 Deza, Michel; Dutour Sikirić, Mathieu 7 2016 Generalizations of finite metrics and cuts. Zbl 1362.51001 Deza, Elena; Deza, Michel; Dutour-Sikirić, Mathieu 6 2016 Hypercube emulation of interconnection networks topologies. Zbl 1348.05057 Alahmadi, Adel; Alhazmi, Husain; Ali, Shakir; Deza, Michel; Dutour Sikirić, Mathieu; Solé, Patrick 1 2016 Voronoi polytopes for polyhedral norms on lattices. Zbl 1342.52015 Deza, Michel; Dutour Sikirić, Mathieu 8 2015 Geometric structure of chemistry-relevant graphs. Zigzags and central circuits. Zbl 1320.05002 Deza, Michel-Marie; Dutour Sikirić, Mathieu; Shtogrin, Mikhail Ivanovitch 7 2015 Polyhedral structures associated with quasi-metrics. Zbl 1441.51006 Deza, M. M.; Deza, E. I.; Dutour Sikirić, M. 2 2015 Encyclopedia of distances. 3rd ed. Zbl 1301.51001 Deza, Michel Marie; Deza, Elena 34 2014 Encyclopedia of distances. 2nd ed. Zbl 1259.51001 Deza, Michel Marie; Deza, Elena 20 2013 Fullerenes and disk-fullerenes. Zbl 1281.52003 Deza, M.; Dutour Sikirić, M.; Shtogrin, M. I. 6 2013 Maximum independent sets of the 120-cell and other regular polyhedra. Zbl 1290.05116 Debroni, Sean; Delisle, Erin; Myrvold, Wendy; Sethi, Amit; Whitney, Joseph; Woodcock, Jennifer; Fowler, Patrick W.; de La Vaissière, Benoit; Deza, Michel 1 2013 Figurate numbers. Zbl 1258.11001 Deza, Elena; Deza, Michel Marie 12 2012 Cones of weighted and partial metrics. Zbl 1279.52001 Deza, Michel; Deza, Elena; Vidali, Janoš 4 2012 Zigzag and central circuit structure of \((\{1,2,3\}, 6)\)-spheres. Zbl 1245.05028 Deza, Michel; Dutour Sikirić, Mathieu 1 2012 Cones of partial metrics. Zbl 1323.51004 Deza, Michel; Deza, Elena 5 2011 Geometry of cuts and metrics. Paperback reprint of the 1997 original. Zbl 1210.52001 Deza, Michel Marie; Laurent, Monique 62 2010 Space fullerenes: a computer search for new Frank-Kasper structures. Zbl 1370.82015 Dutour Sikirić, Mathieu; Delgado-Friedrichs, Olaf; Deza, Michel 6 2010 Encyclopedia of distances. Zbl 1167.51001 Deza, Michel Marie; Deza, Elena 154 2009 The symetries of cubic polyhedral graphs with face size no larger than 6. Zbl 1199.52028 Deza, Michel; Dutour Sikirić, Mathieu; Fowler, Patrick W. 6 2009 Polyhexes that are \(\ell _1\) graphs. Zbl 1221.05110 Deza, M.; Shpectorov, S. 4 2009 New examples of generalized fullerenes. Zbl 1183.52012 Deza, M.; Shtogrin, M. I. 2 2009 Geometry of chemical graphs. Polycycles and two-faced maps. Zbl 1153.05065 Deza, Michel; Dutour Sikirić, Mathieu 9 2008 More about the 52 four-dimensional parallelotopes. Zbl 1155.52013 Deza, M.; Grishukhin, V. P. 4 2008 Hypercube embeddings of Wythoffians. Zbl 1152.52005 Deza, Michel; Dutour Sikirić, Mathieu; Shpectorov, Sergey 3 2008 Filling of a given boundary by \(p\)-gons and related problems. Zbl 1144.05026 Dutour Sikirić, Mathieu; Deza, Michel; Shtogrin, Mikhail 2 2008 The undecakisicosahedral group and a 3-regular carbon network of genus 26. Zbl 1127.92051 Lijnen, Erwin; Ceulemans, Arnout; Fowler, Patrick W.; Deza, Michel 2 2007 Designs and matroids. 2nd ed. Zbl 1110.05309 Cameron, Peter J.; Deza, Michel M. 1 2007 Types and boundary uniqueness of polypentagons. Zbl 1146.05041 Deza, M.; Shtogrin, M. I. 6 2006 Non-extendible finite polycycles. Zbl 1103.05025 Deza, M.; Shpectorov, S. V.; Shtogrin, M. I. 2 2006 Zigzag structures of simple two-faced polyhedra. Zbl 1059.05037 Deza, Michel; Dutour, Mathieu 7 2005 Graphs \(4_n\) that are isometrically embeddable in hypercubes. Zbl 1079.05024 Deza, Michel; Dutour Sikirić, Mathieu; Shpectorov, Sergey 4 2005 Zigzag structure of complexes. Zbl 1080.52504 Deza, Michel; Dutour, Mathieu 4 2005 Small cones of \(m\)-hemimetrics. Zbl 1072.52010 Deza, M.-M.; Rosenberg, I. G. 4 2005 Scale-isometric polytopal graphs in hypercubes and cubic lattices. Polytopes in hypercubes and \(Z_n\). Zbl 1054.52007 Deza, Michel; Grishukhin, V.; Shtogrin, M. 12 2004 Properties of parallelotopes equivalent to Voronoi’s conjecture. Zbl 1057.52012 Deza, Michel; Grishukhin, Viacheslav 7 2004 Goldberg-Coxeter construction for 3- and 4-valent plane graphs. Zbl 1053.52013 Dutour, Mathieu; Deza, Michel 5 2004 Nonrigidity degrees of root lattices and their duals. Zbl 1073.11044 Deza, Michel; Grishukhin, Viacheslav 4 2004 Voronoĭ’s conjecture and space tiling zonotopes. Zbl 1105.52007 Deza, Michel; Grishukhin, Viacheslav 2 2004 On volume-measure as hemi-metrics. Zbl 1078.52006 Deza, Michel; Dutour, Mathieu; Maehara, Hiroshi 1 2004 On simplicial and cubical complexes with short links. Zbl 1071.52013 Deza, Michel; Dutour, Mathieu; Shtogrin, Mikhail 1 2004 Archimedean polycycles. Zbl 1071.52015 Deza, M.; Shtogrin, M. I. 1 2004 Lower bounds for embedding edit distance into normed spaces. Zbl 1092.68685 Andoni, A.; Deza, M.; Gupta, Anupam; Indyk, P.; Raskhodnikova, S. 5 2003 The hypermetric cone on seven vertices. Zbl 1101.11021 Deza, Michel; Dutour, Mathieu 5 2003 4-valent plane graphs with 2-, 3- and 4-gonal faces. Zbl 1035.05051 Deza, Michel; Dutour, Mathieu; Shtogrin, Mikhail 2 2003 Small cones of oriented semi-metrics. Zbl 1081.52013 Deza, Michel; Dutour, Mathieu; Panteleeva, Elena 6 2002 Extremal and nonextendible polycycles. Zbl 1067.05021 Deza, M.; Shtogrin, M. I. 5 2002 Mosaics and their isometric embeddings. Zbl 1031.52007 Deza, M.; Shtogrin, M. I. 4 2002 Clusters of cycles. Zbl 0996.05081 Deza, Michel; Shtogrin, Mikhail 3 2002 Rank 1 forms, closed zones and laminae. Zbl 1069.11026 Deza, Michel; Grishukhin, Viatcheslav 3 2002 A generalization of strongly regular graphs. Zbl 1026.05106 Deza, Michel; Huang, Tayuan 1 2002 Isometric embedding of mosaics into cubic lattices. Zbl 0998.52019 Deza, Michel; Shtogrin, Mikhail 1 2002 Maps of \(p\)-gons with a ring of \(q\)-gons. Zbl 1004.05500 Deza, Michel; Grishukhin, Viatcheslav 1 2002 A criterion for the embeddability of \((r,q)\)-polycycles. Zbl 1045.05035 Deza, M.; Shtogrin, M. I. 1 2002 \(n\)-semimetrics. Zbl 0988.54029 Deza, M.-M.; Rosenberg, I. G. 11 2000 Quasi-semi-metrics, oriented multi-cuts and related polyhedra. Zbl 0966.52010 Deza, Michel; Panteleeva, Elena 10 2000 Embeddings of chemical graphs in hypercubes. Zbl 0982.05096 Deza, M.; Shtogrin, M. I. 7 2000 More icosahedral fulleroids. Zbl 0963.51009 Friedrichs, Olaf Delgado; Deza, Michel 4 2000 Uniform partitions of 3-space, their relatives and embedding. Zbl 0967.52006 Deza, Michel; Shtogrin, Mikhail 2 2000 Infinite primitive polycycles. Zbl 0958.05071 Deza, M.; Shtogrin, M. I. 2 2000 Octahedrites. Zbl 1026.52012 Deza, Michel; Shtogrin, Mikhail 2 2000 Polycycles: Symmetry and embeddability. Zbl 1010.05040 Deza, M.; Shtogrin, M. I. 1 2000 Primitive polycycles and hélicenes. Zbl 0953.05035 Deza, M.; Shtogrin, M. I. 4 1999 \(l_1\)-embeddable polyhedra. Zbl 0959.52011 Deza, Michel; Grishukhin, Viacheslav 2 1999 Three-, four-, and five-dimensional fullerenes. Zbl 0946.52006 Deza, Michel; Shtogrin, Mikhail 2 1999 Metrics on permutations, a survey. Zbl 1217.05038 Deza, Michel; Huang, Tayuan 28 1998 Fullerenes and coordination polyhedra versus half-cube embeddings. Zbl 0951.92034 Deza, Antoine; Deza, Michel; Grishukhin, Viatcheslav 11 1998 Voronoï \(L\)-decomposition of \(PSD_{n}\) and the hypermetric correlation cone. Zbl 0955.52002 Deza, Michel; Grishukhin, Vyatchaeslav 3 1998 Embedding of skeletons of Voronoï and Delaunay partitions into cubic lattices. Zbl 0946.05006 Deza, Michel; Shtogrin, Mikhail 1 1998 Erratum to “Bounds on the covering radius of a lattice”. Zbl 0902.11026 Deza, M.; Grishukhin, V. P. 1 1998 Odd systems of vectors and related lattices. Zbl 0939.11025 Deza, M.; Grishukhin, V. P. 1 1998 Geometry of cuts and metrics. Zbl 0885.52001 Deza, Michel Marie; Laurent, Monique 284 1997 Clin d’oeil on \(L_1\)-embeddable planar graphs. Zbl 0892.05018 Chepoi, Victor; Deza, Michel; Grishukin, Viatcheslav 16 1997 A zoo of \(\ell_ 1\)-embeddable polytopal graphs. Zbl 0886.05056 Deza, M.; Grishukhin, V. P. 6 1997 The embedding of graphs in hypercubes and cubic lattices. Zbl 0916.05021 Deza, M.; Shtogrin, M. I. 1 1997 Recognition of the \(\ell_ 1\)-graphs with complexity \(O(nm)\), or Football in a hypercube. Zbl 0854.05093 Deza, M.; Shpectorov, S. 12 1996 A note on \(l_ 1\)-rigid planar graphs. Zbl 0851.05047 Deza, M.; Tůma, J. 6 1996 Isometric embeddings of semiregular polyhedra, tilings and their duals in hypercubes and cubic lattices. Zbl 0888.05017 Deza, M.; Shtogrin, M. I. 3 1996 Cut lattices and equiangular lines. Zbl 0849.52012 Deza, M.; Grishukhin, V. P. 2 1996 \(\ell_ 1\)-embeddability of some block graphs and cycloids. Zbl 0858.05015 Deza, Michel; Huang, Tayuan 2 1996 Lattice-free polytopes and their diameter. Zbl 0817.52018 Deza, M.; Onn, S. 6 1995 Hypermetrics in geometry of numbers. Zbl 1071.52500 Deza, M.; Grishukhin, V. P.; Laurent, M. 6 1995 L-polytopes and equiangular lines. Zbl 0830.52004 Deza, M.; Grishukhin, V. P. 3 1995 Delaunay polytopes of cut lattices. Zbl 0831.52006 Deza, Michel; Grishukhin, Viatcheslav 3 1995 Hypercube embedding of generalized bipartite metrics. Zbl 0821.05017 Deza, Michel; Laurent, Monique 2 1995 The ridge graph of the metric polytope and some relatives. Zbl 0809.52017 Deza, Antoine; Deza, Michel 31 1994 Applications of cut polyhedra. II. Zbl 0826.52013 Deza, Michel; Laurent, Monique 21 1994 Application of cut polyhedra. I. Zbl 0826.52012 Deza, Michel; Laurent, Monique 17 1994 \(\ell_ 1\)-rigid graphs. Zbl 0802.05066 Deza, M.; Laurent, M. 11 1994 Collapsing and lifting for the cut cone. Zbl 0799.90099 De Simone, Caterina; Deza, Michel; Laurent, Monique 9 1994 A few applications of negative-type inequalities. Zbl 0813.05024 Deza, M.; Maehara, H. 7 1994 Lattice points of cut cones. Zbl 0824.52015 Deza, Michel; Grishukhin, Vyacheslav 2 1994 On the skeleton of the dual cut polytope. Zbl 0818.52011 Deza, Antoine; Deza, Michel 1 1994 The hypermetric cone is polyhedral. Zbl 0801.52009 Deza, M.; Grishukhin, V. P.; Laurent, M. 22 1993 Hypermetric graphs. Zbl 0795.05120 Deza, M.; Grishukhin, P. 12 1993 The inequicut cone. Zbl 0801.52006 Deza, Michel; Fukuda, Komei; Laurent, Monique 7 1993 The even and odd cut polytopes. Zbl 0783.52008 Deza, Michel; Laurent, Monique 6 1993 ...and 81 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,763 Authors 67 Deza, Michel Marie 37 Frankl, Péter 33 Laurent, Monique 24 Borg, Peter 24 Dutour-Sikiric, Mathieu 24 Letchford, Adam N. 21 Grishukhin, Vyacheslav Petrovich 17 Hamada, Noboru 16 Cameron, Peter Jephson 14 Klavžar, Sandi 13 Chepoi, Victor D. 13 Furedi, Zoltan 12 Avis, David M. 12 Machado, José António Tenreiro 12 Naor, Assaf 12 Ng, Timothy 11 Moulton, Vincent L. 11 Salomaa, Kai T. 11 Wang, Kaishun 9 Anjos, Miguel F. 9 Helleseth, Tor 9 Ku, Cheng Yeaw 8 Ellis, David Christopher 8 Guo, Jun 8 Koolen, Jack H. 8 Li, Fenggao 8 Pankov, Mark 8 Poljak, Svatopluk 8 Rappaport, David 8 Singhi, Navin Madhavprasad 8 Vallentin, Frank 7 Chebotarev, Pavel Yu. 7 Huber, Katharina T. 7 Lopes, António M. 7 Maehara, Hiroshi 7 Rendl, Franz 7 Shtogrin, Mikhail Ivanovich 7 Vanstone, Scott Alexander 7 Wang, Jun 6 Beneteau, Lucien 6 Deza, Elena Ivanovna 6 Feghali, Carl 6 Fiorini, Samuel 6 Fu, Fangwei 6 Galli, Laura 6 Ghorbani, Modjtaba 6 Kabanov, Vladislav Vladimirovich 6 Meagher, Karen 6 Razafimahatratra, Andriaherimanana Sarobidy 6 Solé, Patrick 6 Varvitsiotis, Antonios E. 6 Zhang, Huajun 5 Bailey, Robert F. 5 Bereg, Sergey N. 5 Brozovic, Douglas P. 5 Bryant, David 5 Deza, Antoine 5 Erokhovets, Nikolaĭ Yur’evich 5 Hurlbert, Glenn H. 5 Kaparis, Konstantinos 5 Liers, Frauke 5 Liu, Jiuqiang 5 Maksimenko, Aleksandr Nikolaevich 5 Neto, José 5 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 5 Rosenberg, Ivo G. 5 Schürmann, Achill 5 Shalaginov, Leonid Viktorovich 5 Tyc, Adam 5 Valero, Oscar 5 Weston, Anthony 5 Wong, Kok Bin 4 Chierichetti, Flavio 4 De Simone, Caterina 4 Dress, Andreas W. M. 4 Dukes, Peter James 4 Hirai, Hiroshi 4 Holroyd, Fred C. 4 Hungerländer, Philipp 4 Kamat, Vikram 4 Kumar, Ravi K. 4 Lifshitz, Noam 4 Linial, Nathan 4 Magazinov, Alexander Nikolaevich 4 Ralević, Nebojša M. Ralević 4 Rinaldi, Giovanni 4 Römer, Tim 4 Schechtman, Gideon 4 Shpectorov, Sergey Viktorovich 4 Sørensen, Michael Malmros 4 Storme, Leo 4 Sturmfels, Bernd 4 Sullivant, Seth 4 Tokushige, Norihide 4 Tupper, Paul F. 4 Wang, Guangfu 4 Wang, Xiang 4 Wiegele, Angelika 4 Zhang, Heping 3 Ahlswede, Rudolf ...and 1,663 more Authors all top 5 Cited in 334 Serials 110 Discrete Mathematics 110 European Journal of Combinatorics 56 Journal of Combinatorial Theory. Series A 49 Discrete Applied Mathematics 38 Designs, Codes and Cryptography 32 Linear Algebra and its Applications 29 Mathematical Programming. Series A. Series B 25 Graphs and Combinatorics 23 Discrete & Computational Geometry 21 The Electronic Journal of Combinatorics 16 Combinatorica 14 Theoretical Computer Science 13 Journal of Algebraic Combinatorics 13 Journal of Mathematical Sciences (New York) 13 Discrete Optimization 12 Operations Research Letters 11 Advances in Mathematics 11 Journal of Combinatorial Theory. Series B 11 Optimization Letters 9 Fuzzy Sets and Systems 9 Journal of Statistical Planning and Inference 9 Journal of Classification 9 SIAM Journal on Discrete Mathematics 9 Journal of Mathematical Chemistry 8 Communications in Algebra 8 Annals of Operations Research 7 Applied Mathematics and Computation 7 Doklady Mathematics 7 Optimization Methods & Software 6 Journal of Algebra 6 Journal of Computational and Applied Mathematics 6 Journal of Functional Analysis 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 European Journal of Operational Research 5 Beiträge zur Algebra und Geometrie 5 The Annals of Statistics 5 Geometriae Dedicata 5 Networks 5 Topology and its Applications 5 Journal of Symbolic Computation 5 SIAM Journal on Optimization 5 Experimental Mathematics 5 Computational Optimization and Applications 5 Combinatorics, Probability and Computing 5 Communications in Nonlinear Science and Numerical Simulation 5 Chebyshevskiĭ Sbornik 5 Proceedings of the Steklov Institute of Mathematics 5 Mathematical Programming Computation 5 Electronic Journal of Graph Theory and Applications 4 Mathematical Notes 4 Journal of the London Mathematical Society. Second Series 4 Acta Mathematicae Applicatae Sinica. English Series 4 International Journal of Foundations of Computer Science 4 Journal of Combinatorial Designs 4 Soft Computing 4 Journal of Fixed Point Theory and Applications 3 Israel Journal of Mathematics 3 Journal of Mathematical Physics 3 Linear and Multilinear Algebra 3 Physica A 3 Russian Mathematical Surveys 3 Journal of Geometry and Physics 3 Journal of Computer and System Sciences 3 Journal of Geometry 3 Journal of Graph Theory 3 Journal of Multivariate Analysis 3 Journal of Number Theory 3 Mathematics of Operations Research 3 Michigan Mathematical Journal 3 Advances in Applied Mathematics 3 Physica D 3 Information and Computation 3 Applied Mathematics Letters 3 Neural Computation 3 Computational Geometry 3 Communications in Statistics. Simulation and Computation 3 Applicable Algebra in Engineering, Communication and Computing 3 The Australasian Journal of Combinatorics 3 Cybernetics and Systems Analysis 3 Data Mining and Knowledge Discovery 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 AKCE International Journal of Graphs and Combinatorics 3 Advances in Mathematics of Communications 3 Ars Mathematica Contemporanea 3 Science China. Mathematics 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Moscow University Mathematics Bulletin 2 Problems of Information Transmission 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 Mathematics Magazine 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Information Sciences 2 Journal of Mathematical Psychology ...and 234 more Serials all top 5 Cited in 58 Fields 638 Combinatorics (05-XX) 223 Operations research, mathematical programming (90-XX) 194 Convex and discrete geometry (52-XX) 160 Computer science (68-XX) 125 Information and communication theory, circuits (94-XX) 100 Geometry (51-XX) 91 Group theory and generalizations (20-XX) 85 General topology (54-XX) 84 Statistics (62-XX) 58 Functional analysis (46-XX) 49 Number theory (11-XX) 42 Biology and other natural sciences (92-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 31 Mathematical logic and foundations (03-XX) 31 Probability theory and stochastic processes (60-XX) 27 Numerical analysis (65-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 21 Algebraic geometry (14-XX) 18 Differential geometry (53-XX) 15 Commutative algebra (13-XX) 14 Manifolds and cell complexes (57-XX) 13 Operator theory (47-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Functions of a complex variable (30-XX) 11 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Systems theory; control (93-XX) 9 Real functions (26-XX) 9 Measure and integration (28-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Abstract harmonic analysis (43-XX) 7 Algebraic topology (55-XX) 6 Topological groups, Lie groups (22-XX) 6 Difference and functional equations (39-XX) 5 General and overarching topics; collections (00-XX) 5 Associative rings and algebras (16-XX) 5 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Field theory and polynomials (12-XX) 4 Ordinary differential equations (34-XX) 3 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX) 3 Potential theory (31-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.