Edit Profile (opens in new tab) Mól, Lucas A. S. Co-Author Distance Author ID: mol.lucas-a-s Published as: Mol, Lucas; Mól, L. A. S.; Mól, Lucas A. S. more...less Documents Indexed: 35 Publications since 2003, including 3 Additional arXiv Preprints Co-Authors: 25 Co-Authors with 35 Joint Publications 872 Co-Co-Authors all top 5 Co-Authors 0 single-authored 13 Rampersad, Narad 10 Currie, James D. 9 Oellermann, Ortrud R. 6 Brown, Jason Ira 5 Shallit, Jeffrey Outlaw 2 Cameron, Ben 2 Casablanca, Rocío M. 2 Costa, B. V. 2 Kroeker, Matthew E. 2 Murphy, Matthew J. H. 2 Pereira, Afranio R. 1 Balodis, Kristaps J. 1 Baranwal, Aseem R. 1 Colbourn, Charles J. 1 Cox, Danielle 1 Dankelmann, Peter 1 Goddard, Wayne Dean 1 Graves, Christina M. 1 Lima, Alexandre B. 1 Moura-Melo, Winder A. 1 Ochem, Pascal 1 Oswal, Vibhav 1 Paula, Fagner M. 1 Rocha, J. C. S. 1 Stipulanti, Manon all top 5 Serials 3 Discrete Applied Mathematics 2 Discrete Mathematics 2 Physics Letters. A 2 Journal of Graph Theory 2 Networks 2 Theoretical Computer Science 2 The Australasian Journal of Combinatorics 2 The Electronic Journal of Combinatorics 2 RAIRO. Theoretical Informatics and Applications 1 Computer Physics Communications 1 Journal of Statistical Physics 1 European Journal of Combinatorics 1 International Journal of Algebra and Computation 1 International Journal of Foundations of Computer Science 1 Bulletin of the Institute of Combinatorics and its Applications 1 Discussiones Mathematicae. Graph Theory 1 Journal of Combinatorial Optimization 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Integer Sequences 1 Contributions to Discrete Mathematics all top 5 Fields 16 Combinatorics (05-XX) 13 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 120 times in 76 Documents Cited by ▼ Year ▼ Maximizing the mean subtree order. Zbl 1417.05031 Mol, Lucas; Oellermann, Ortrud R. 20 2019 On the roots of all-terminal reliability polynomials. Zbl 1369.05115 Brown, Jason; Mol, Lucas 13 2017 On the mean subtree order of graphs under edge addition. Zbl 1521.05020 Cameron, Ben; Mol, Lucas 9 2021 A family of formulas with reversal of high avoidability index. Zbl 1378.68132 Currie, James; Mol, Lucas; Rampersad, Narad 8 2017 On the mean connected induced subgraph order of cographs. Zbl 1404.05103 Kroeker, Matthew E.; Mol, Lucas; Oellermann, Ortrud R. 7 2018 On the roots of the node reliability polynomial. Zbl 1387.05116 Brown, Jason; Mol, Lucas 6 2016 The repetition threshold for binary rich words. Zbl 1456.68135 Currie, James D.; Mol, Lucas; Rampersad, Narad 6 2020 The threshold dimension of a graph. Zbl 1450.05020 Mol, Lucas; Murphy, Matthew J. H.; Oellermann, Ortrud R. 6 2020 Lengths of extremal square-free ternary words. Zbl 1467.68149 Mol, Lucas; Rampersad, Narad 6 2021 The undirected repetition threshold and undirected pattern avoidance. Zbl 1489.68215 Currie, James D.; Mol, Lucas 5 2021 On the mean order of connected induced subgraphs of block graphs. Zbl 1439.05123 Balodis, Kristaps J.; Mol, Lucas; Oellermann, Ortrud R.; Kroeker, Matthew E. 4 2020 Avoidance bases for formulas with reversal. Zbl 1395.68223 Currie, James D.; Mol, Lucas; Rampersad, Narad 4 2018 The shape of node reliability. Zbl 1383.05165 Brown, Jason I.; Mol, Lucas 3 2018 Circular repetition thresholds on some small alphabets: last cases of Gorbunova’s conjecture. Zbl 1429.68202 Currie, James D.; Mol, Lucas; Rampersad, Narad 3 2019 The number of threshold words on \(n\) letters grows exponentially for every \(n \geq 27\). Zbl 1442.68188 Currie, James D.; Mol, Lucas; Rampersad, Narad 3 2020 On the roots of Wiener polynomials of graphs. Zbl 1392.05057 Brown, Jason I.; Mol, Lucas; Oellermann, Ortrud R. 2 2018 Cobham’s theorem and automaticity. Zbl 1427.11029 Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey; Stipulanti, Manon 2 2019 Extremal overlap-free and extremal \(\beta\)-free binary words. Zbl 1462.68151 Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey 2 2020 Dyck words, pattern avoidance, and automatic sequences. Zbl 07716993 Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey 2 2023 On the roots of the subtree polynomial. Zbl 1447.05111 Brown, Jason I.; Mol, Lucas 2 2020 The maximum average connectivity among all orientations of a graph. Zbl 1491.05115 Casablanca, Rocío M.; Dankelmann, Peter; Goddard, Wayne; Mol, Lucas; Oellermann, Ortrud 2 2022 On avoidability of formulas with reversal. Zbl 1390.68512 Currie, James D.; Mol, Lucas; Rampersad, Narad 1 2017 On phase transition and vortex stability in the generalized \(XY\) models. Zbl 1073.82522 Mól, L. A. S.; Pereira, A. R.; Moura-Melo, Winder A. 1 2003 Using zeros of the canonical partition function map to detect signatures of a Berezinskii-Kosterlitz-thouless transition. Zbl 1375.82036 Rocha, J. C. S.; Mól, L. A. S.; Costa, B. V. 1 2016 Average connectivity of minimally 2-connected graphs and average edge-connectivity of minimally 2-edge-connected graphs. Zbl 1454.05062 Casablanca, Rocío M.; Mol, Lucas; Oellermann, Ortrud R. 1 2021 The fully frustrated XY model revisited: A new universality class. Zbl 1421.82007 Lima, A. B.; Mól, L. A. S.; Costa, B. V. 1 2019 Dyck words, pattern avoidance, and automatic sequences. Zbl 07716993 Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey 2 2023 The maximum average connectivity among all orientations of a graph. Zbl 1491.05115 Casablanca, Rocío M.; Dankelmann, Peter; Goddard, Wayne; Mol, Lucas; Oellermann, Ortrud 2 2022 On the mean subtree order of graphs under edge addition. Zbl 1521.05020 Cameron, Ben; Mol, Lucas 9 2021 Lengths of extremal square-free ternary words. Zbl 1467.68149 Mol, Lucas; Rampersad, Narad 6 2021 The undirected repetition threshold and undirected pattern avoidance. Zbl 1489.68215 Currie, James D.; Mol, Lucas 5 2021 Average connectivity of minimally 2-connected graphs and average edge-connectivity of minimally 2-edge-connected graphs. Zbl 1454.05062 Casablanca, Rocío M.; Mol, Lucas; Oellermann, Ortrud R. 1 2021 The repetition threshold for binary rich words. Zbl 1456.68135 Currie, James D.; Mol, Lucas; Rampersad, Narad 6 2020 The threshold dimension of a graph. Zbl 1450.05020 Mol, Lucas; Murphy, Matthew J. H.; Oellermann, Ortrud R. 6 2020 On the mean order of connected induced subgraphs of block graphs. Zbl 1439.05123 Balodis, Kristaps J.; Mol, Lucas; Oellermann, Ortrud R.; Kroeker, Matthew E. 4 2020 The number of threshold words on \(n\) letters grows exponentially for every \(n \geq 27\). Zbl 1442.68188 Currie, James D.; Mol, Lucas; Rampersad, Narad 3 2020 Extremal overlap-free and extremal \(\beta\)-free binary words. Zbl 1462.68151 Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey 2 2020 On the roots of the subtree polynomial. Zbl 1447.05111 Brown, Jason I.; Mol, Lucas 2 2020 Maximizing the mean subtree order. Zbl 1417.05031 Mol, Lucas; Oellermann, Ortrud R. 20 2019 Circular repetition thresholds on some small alphabets: last cases of Gorbunova’s conjecture. Zbl 1429.68202 Currie, James D.; Mol, Lucas; Rampersad, Narad 3 2019 Cobham’s theorem and automaticity. Zbl 1427.11029 Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey; Stipulanti, Manon 2 2019 The fully frustrated XY model revisited: A new universality class. Zbl 1421.82007 Lima, A. B.; Mól, L. A. S.; Costa, B. V. 1 2019 On the mean connected induced subgraph order of cographs. Zbl 1404.05103 Kroeker, Matthew E.; Mol, Lucas; Oellermann, Ortrud R. 7 2018 Avoidance bases for formulas with reversal. Zbl 1395.68223 Currie, James D.; Mol, Lucas; Rampersad, Narad 4 2018 The shape of node reliability. Zbl 1383.05165 Brown, Jason I.; Mol, Lucas 3 2018 On the roots of Wiener polynomials of graphs. Zbl 1392.05057 Brown, Jason I.; Mol, Lucas; Oellermann, Ortrud R. 2 2018 On the roots of all-terminal reliability polynomials. Zbl 1369.05115 Brown, Jason; Mol, Lucas 13 2017 A family of formulas with reversal of high avoidability index. Zbl 1378.68132 Currie, James; Mol, Lucas; Rampersad, Narad 8 2017 On avoidability of formulas with reversal. Zbl 1390.68512 Currie, James D.; Mol, Lucas; Rampersad, Narad 1 2017 On the roots of the node reliability polynomial. Zbl 1387.05116 Brown, Jason; Mol, Lucas 6 2016 Using zeros of the canonical partition function map to detect signatures of a Berezinskii-Kosterlitz-thouless transition. Zbl 1375.82036 Rocha, J. C. S.; Mól, L. A. S.; Costa, B. V. 1 2016 On phase transition and vortex stability in the generalized \(XY\) models. Zbl 1073.82522 Mól, L. A. S.; Pereira, A. R.; Moura-Melo, Winder A. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 109 Authors 14 Mól, Lucas A. S. 10 Brown, Jason Ira 7 Oellermann, Ortrud R. 5 Pelantová, Edita 5 Rampersad, Narad 4 Dvořáková, L’ubomíra 4 Shallit, Jeffrey Outlaw 4 Wagner, Stephan G. 3 Cameron, Ben 3 Currie, James D. 3 DeGagné, Corey D. C. 3 Dolce, Francesco 3 Luo, Zuwen 3 Ochem, Pascal 3 Shur, Arseny M. 3 Vince, Andrew 3 Wang, Hua 3 Xu, Kexiang 2 Andriantiana, Eric Ould Dadah 2 Benakli, Nadia 2 Bong, Novi H. 2 Cambie, Stijn 2 Dueck, Shonda 2 Erey, Aysel 2 Grytczuk, Jarosław 2 Haslegrave, John 2 Kroeker, Matthew E. 2 Misanantenaina, Valisoa Razanajatovo 2 Novick, Beth 2 Pawlik, Bartłomiej 1 Ahmed, Maimoonah 1 Allouche, Jean-Paul Simon 1 Balodis, Kristaps J. 1 Baranwal, Aseem R. 1 Barton, Caroline 1 Beaton, Iain 1 Beiu, Valeriu 1 Bulteau, Laurent 1 Byszewski, Jakub 1 Cao, Shujuan 1 Casablanca, Rocío M. 1 Chen, Guanrong 1 Chen, Guantao 1 Chen, Xiaolin 1 Colbourn, Charles J. 1 Costa, B. V. 1 Cox, Danielle 1 D’Achille, Matteo P. 1 Dankelmann, Peter 1 Dăuş, Leonard 1 Dȩbski, Michał 1 Dehmer, Matthias 1 Domenech, Antoine 1 Drăgoi, Vlad-Florin 1 Emmert-Streib, Frank 1 Engbers, John 1 Eroh, Linda L. 1 Feng, Lihua 1 Fredes, Luis 1 Ghorbani, Modjtaba 1 Goddard, Wayne Dean 1 Graves, Christina M. 1 Groenland, Carla 1 Hao, Yanli 1 Higashitani, Akihiro 1 Hong, Letong 1 Hörsch, Florian 1 Jianu, Marilena 1 Johnston, Tom 1 Jugé, Vincent 1 Kim, Jinmin 1 Konieczny, Jakub 1 Kordulewski, Hubert 1 Krawczyk, Elżbieta 1 Le Ny, Arnaud 1 Lian, Huishu 1 Lima, Alexandre B. 1 Mao, Yaping 1 Marckert, Jean-François 1 Mashkaria, Satvik 1 Matsumoto, Naoki 1 McMullin, Isaac 1 Medková, Kateřina 1 Murphy, Matthew J. H. 1 Ódor, Gergely 1 Opočenská, Daniela 1 Pérez-Rosés, Hebert 1 Petrova, Elena A. 1 Pike, David A. 1 Poureidi, Abolfazl 1 Przybocki, Benjamin 1 Salo, Ville O. 1 Schaeffer, Luke 1 Tao, Jin 1 Thiran, Patrick 1 Tian, Jing 1 Tokar, Nizamettin 1 van Enter, Aernout C. D. 1 Vialette, Stéphane 1 Wang, Danielle ...and 9 more Authors all top 5 Cited in 30 Serials 10 Discrete Mathematics 9 Theoretical Computer Science 7 Journal of Graph Theory 6 Networks 4 Discrete Applied Mathematics 3 The Australasian Journal of Combinatorics 3 The Electronic Journal of Combinatorics 2 European Journal of Combinatorics 2 Graphs and Combinatorics 2 RAIRO. Theoretical Informatics and Applications 1 Information Processing Letters 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Information Sciences 1 Journal of Combinatorial Theory. Series B 1 Advances in Applied Mathematics 1 Combinatorica 1 Expositiones Mathematicae 1 Discussiones Mathematicae. Graph Theory 1 Journal of Combinatorial Optimization 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Integer Sequences 1 Fundamenta Informaticae 1 Journal of Statistical Mechanics: Theory and Experiment 1 Contributions to Discrete Mathematics 1 Mathematics in Computer Science 1 Probability Surveys 1 European Journal of Mathematics 1 Enumerative Combinatorics and Applications 1 Combinatorial Theory all top 5 Cited in 11 Fields 44 Combinatorics (05-XX) 31 Computer science (68-XX) 5 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 3 Number theory (11-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year