Edit Profile (opens in new tab) Defant, Colin Co-Author Distance Author ID: defant.colin Published as: Defant, Colin Homepage: https://cdefant.wixsite.com/theoremspace External Links: ORCID · ResearchGate · dblp Documents Indexed: 89 Publications since 2014, including 14 Additional arXiv Preprints Reviewing Activity: 6 Reviews Co-Authors: 49 Co-Authors with 37 Joint Publications 1,539 Co-Co-Authors all top 5 Co-Authors 45 single-authored 12 Kravitz, Noah 4 Alon, Noga 4 Li, Rupert 4 Propp, James Gary 2 Cho, Stephan 2 Cummings, Jay 2 Hopkins, Samuel Francis 2 Macauley, Matthew 2 McDonough, Alex 2 Sonneborn, Claire 2 Young, Benjamin J. 1 Adeniran, Ayomikun 1 Alladi, Krishnaswami 1 Barkley, Grant T. 1 Barnard, Emily 1 Berger, Aaron 1 Burcroff, Amanda 1 Butler, Steven Kay 1 Dong, David 1 Engen, Michael 1 Féray, Valentin 1 Foster, Leigh 1 Gao, Yibo 1 Guttmann, Anthony John 1 Hanson, Eric J. 1 Harris, Pamela E. 1 Hettle, Cyrus 1 Hodges, Eliot 1 Iyer, Sumun 1 Jiradilok, Pakawut 1 Joseph, Michael 1 Joseph, Mike 1 Lee, Alan 1 Lee, Mitchell 1 Liang, Qingzhong 1 Madhukara, Rachana 1 Miller, Jordan A. 1 Nadeau, Philippe 1 Nam, Hayan 1 Nestoridi, Evita 1 Poznanović, Svetlana 1 Price, Andrew Elvey 1 Sack, Andrew 1 Sah, Ashwin 1 Tenner, Bridget Eileen 1 Thomas, Hugh Ross 1 Volk, Adam 1 Wei, Michelle 1 Zhu, Daniel G. all top 5 Serials 7 The Electronic Journal of Combinatorics 6 Discrete Mathematics 6 Séminaire Lotharingien de Combinatoire 6 Combinatorial Theory 5 Advances in Applied Mathematics 4 Discrete Mathematics and Theoretical Computer Science. DMTCS 4 Journal of Combinatorics 3 Journal of Combinatorial Theory. Series A 3 International Journal of Mathematics and Computer Science 2 European Journal of Combinatorics 2 The Australasian Journal of Combinatorics 2 Notes on Number Theory and Discrete Mathematics 2 Integers 2 AKCE International Journal of Graphs and Combinatorics 2 International Journal of Number Theory 2 Forum of Mathematics, Sigma 1 Advances in Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Number Theory 1 Mathematical Journal of Okayama University 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Order 1 Graphs and Combinatorics 1 Discrete & Computational Geometry 1 Electronic Journal of Probability 1 Journal of Integer Sequences 1 Miskolc Mathematical Notes 1 Uniform Distribution Theory 1 Journal of Combinatorics and Number Theory 1 Analysis, Geometry and Number Theory 1 Algebraic Combinatorics 1 Enumerative Combinatorics and Applications all top 5 Fields 67 Combinatorics (05-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Probability theory and stochastic processes (60-XX) 5 Convex and discrete geometry (52-XX) 5 Computer science (68-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 59 Publications have been cited 347 times in 124 Documents Cited by ▼ Year ▼ Counting 3-stack-sortable permutations. Zbl 1433.05005 Defant, Colin 27 2020 Stack-sorting, set partitions, and Lassalle’s sequence. Zbl 1442.05006 Defant, Colin; Engen, Michael; Miller, Jordan A. 26 2020 Preimages under the stack-sorting algorithm. Zbl 1428.05006 Defant, Colin 24 2017 Postorder preimages. Zbl 1397.05010 Defant, Colin 22 2017 Catalan intervals and uniquely sorted permutations. Zbl 1439.05006 Defant, Colin 18 2020 Binary codes and period-2 orbits of sequential dynamical systems. Zbl 1406.37035 Defant, Colin 15 2017 Fertility monotonicity and average complexity of the stack-sorting map. Zbl 1478.05004 Defant, Colin 12 2021 Descents in \(t\)-sorted permutations. Zbl 1441.05005 Defant, Colin 11 2020 Polyurethane toggles. Zbl 1441.05007 Defant, Colin 11 2020 Friends and strangers walking on graphs. Zbl 1498.05148 Defant, Colin; Kravitz, Noah 9 2021 Stack-sorting preimages of permutation classes. Zbl 1447.05004 Defant, Colin 9 2020 Fertility, strong fertility, and postorder Wilf equivalence. Zbl 1439.05007 Defant, Colin 9 2020 Fertility numbers. Zbl 1441.05006 Defant, Colin 9 2020 Pop-stack-sorting for Coxeter groups. Zbl 1498.05286 Defant, Colin 8 2022 Troupes, cumulants, and stack-sorting. Zbl 1485.05004 Defant, Colin 8 2022 Upper bounds for Stern’s diatomic sequence and related sequences. Zbl 1351.05025 Defant, Colin 8 2016 Meeting covered elements in \(\nu\)-Tamari lattices. Zbl 07461716 Defant, Colin 7 2022 Troupes, cumulants, and stack-sorting. Zbl 1515.05091 Defant, Colin 7 2022 Anti-power prefixes of the Thue-Morse word. Zbl 1355.05005 Defant, Colin 7 2017 Domination and upper domination of direct product graphs. Zbl 1393.05198 Defant, Colin; Iyer, Sumun 7 2018 Stack-sorting with consecutive-pattern-avoiding stacks. Zbl 1467.05003 Defant, Colin; Zheng, Kai 6 2021 Quantifying noninvertibility in discrete dynamical systems. Zbl 1475.37045 Defant, Colin; Propp, James 6 2020 Enumeration of stack-sorting preimages via a decomposition lemma. Zbl 1487.05021 Defant, Colin 6 2021 Stack-sorting for words. Zbl 1451.68084 Defant, Colin; Kravitz, Noah 5 2020 Stack-sorting for Coxeter groups. Zbl 07621175 Defant, Colin 4 2022 Typical and extremal aspects of friends-and-strangers graphs. Zbl 1504.05146 Alon, Noga; Defant, Colin; Kravitz, Noah 4 2023 Promotion sorting. Zbl 07701692 Defant, Colin; Kravitz, Noah 4 2023 Asymptotics of 3-stack-sortable permutations. Zbl 1466.05002 Defant, Colin; Price, Andrew Elvey; Guttmann, Anthony J. 4 2021 The runsort permuton. Zbl 1491.05003 Alon, Noga; Defant, Colin; Kravitz, Noah 4 2022 Isoperimetry, stability, and irredundance in direct products. Zbl 1440.05171 Alon, Noga; Defant, Colin 4 2020 Semidistrim lattices. Zbl 07699404 Defant, Colin; Williams, Nathan 3 2023 On the density of ranges of generalized divisor functions. Zbl 1370.11004 Defant, Colin 3 2015 Unitary Cayley graphs of Dedekind domain quotients. Zbl 1346.05107 Defant, Colin 3 2016 Symmetry of Narayana numbers and rowvacuation of root posets. Zbl 1471.05119 Defant, Colin; Hopkins, Sam 3 2021 Connected components of complex divisor functions. Zbl 1420.11127 Defant, Colin 2 2018 Pattern-avoiding permutation powers. Zbl 1447.05002 Burcroff, Amanda; Defant, Colin 2 2020 On the density of ranges of generalized divisor functions with restricted domains. Zbl 1397.11016 Defant, Colin 2 2015 Fertilitopes. Zbl 1523.52018 Defant, Colin 2 2023 Highly sorted permutations and Bell numbers. Zbl 1491.05005 Defant, Colin 2 2021 Revisiting the Riemann zeta function at positive even integers. Zbl 1404.11103 Alladi, Krishnaswami; Defant, Colin 2 2018 On ranges of variants of the divisor functions that are dense. Zbl 1325.11013 Defant, Colin 2 2015 Anti-Ramsey theory on complete bipartite graphs. Zbl 1468.05070 Cho, Stephan; Cummings, Jay; Defant, Colin; Sonneborn, Claire 2 2020 Ranges of unitary divisor functions. Zbl 1439.11251 Defant, Colin 2 2018 On the genus of a quotient of a numerical semigroup. Zbl 1458.20049 Adeniran, Ayomikun; Butler, Steve; Defant, Colin; Gao, Yibo; Harris, Pamela E.; Hettle, Cyrus; Liang, Qingzhong; Nam, Hayan; Volk, Adam 1 2019 On 2-powerfully perfect numbers in three quadratic rings. Zbl 1386.11130 Defant, Colin 1 2017 Enumerating cliques in direct product graphs. Zbl 1430.05052 Defant, Colin 1 2020 On anti-powers in aperiodic recurrent words. Zbl 1457.05005 Berger, Aaron; Defant, Colin 1 2020 Complex divisor functions. Zbl 1407.11016 Defant, Colin 1 2016 Semidistrim lattices. Zbl 07692107 Defant, Colin; Williams, Nathan 1 2022 Extensions of hitomezashi patterns. Zbl 1518.52007 Defant, Colin; Kravitz, Noah; Tenner, Bridget Eileen 1 2023 Crystal pop-stack sorting and type \(A\) crystal lattices. Zbl 1520.05101 Defant, Colin; Williams, Nathan 1 2022 Coxeter pop-tsack torsing. Zbl 1492.05163 Defant, Colin; Williams, Nathan 1 2022 Supertrees. Zbl 1439.05049 Defant, Colin; Kravitz, Noah; Sah, Ashwin 1 2020 Poset pattern-avoidance problems posed by Yakoubov. Zbl 1378.05007 Defant, Colin 1 2018 A note about iterated arithmetic functions. Zbl 1349.11002 Defant, Colin 1 2016 On arithmetic functions related to iterates of the Schemmel totient functions. Zbl 1316.11007 Defant, Colin 1 2015 On Schemmel nontotient numbers. Zbl 1377.11007 Defant, Colin 1 2016 Toric promotion. Zbl 1504.05301 Defant, Colin 1 2023 Loops and regions in Hitomezashi patterns. Zbl 07756957 Defant, Colin; Kravitz, Noah 1 2024 Loops and regions in Hitomezashi patterns. Zbl 07756957 Defant, Colin; Kravitz, Noah 1 2024 Typical and extremal aspects of friends-and-strangers graphs. Zbl 1504.05146 Alon, Noga; Defant, Colin; Kravitz, Noah 4 2023 Promotion sorting. Zbl 07701692 Defant, Colin; Kravitz, Noah 4 2023 Semidistrim lattices. Zbl 07699404 Defant, Colin; Williams, Nathan 3 2023 Fertilitopes. Zbl 1523.52018 Defant, Colin 2 2023 Extensions of hitomezashi patterns. Zbl 1518.52007 Defant, Colin; Kravitz, Noah; Tenner, Bridget Eileen 1 2023 Toric promotion. Zbl 1504.05301 Defant, Colin 1 2023 Pop-stack-sorting for Coxeter groups. Zbl 1498.05286 Defant, Colin 8 2022 Troupes, cumulants, and stack-sorting. Zbl 1485.05004 Defant, Colin 8 2022 Meeting covered elements in \(\nu\)-Tamari lattices. Zbl 07461716 Defant, Colin 7 2022 Troupes, cumulants, and stack-sorting. Zbl 1515.05091 Defant, Colin 7 2022 Stack-sorting for Coxeter groups. Zbl 07621175 Defant, Colin 4 2022 The runsort permuton. Zbl 1491.05003 Alon, Noga; Defant, Colin; Kravitz, Noah 4 2022 Semidistrim lattices. Zbl 07692107 Defant, Colin; Williams, Nathan 1 2022 Crystal pop-stack sorting and type \(A\) crystal lattices. Zbl 1520.05101 Defant, Colin; Williams, Nathan 1 2022 Coxeter pop-tsack torsing. Zbl 1492.05163 Defant, Colin; Williams, Nathan 1 2022 Fertility monotonicity and average complexity of the stack-sorting map. Zbl 1478.05004 Defant, Colin 12 2021 Friends and strangers walking on graphs. Zbl 1498.05148 Defant, Colin; Kravitz, Noah 9 2021 Stack-sorting with consecutive-pattern-avoiding stacks. Zbl 1467.05003 Defant, Colin; Zheng, Kai 6 2021 Enumeration of stack-sorting preimages via a decomposition lemma. Zbl 1487.05021 Defant, Colin 6 2021 Asymptotics of 3-stack-sortable permutations. Zbl 1466.05002 Defant, Colin; Price, Andrew Elvey; Guttmann, Anthony J. 4 2021 Symmetry of Narayana numbers and rowvacuation of root posets. Zbl 1471.05119 Defant, Colin; Hopkins, Sam 3 2021 Highly sorted permutations and Bell numbers. Zbl 1491.05005 Defant, Colin 2 2021 Counting 3-stack-sortable permutations. Zbl 1433.05005 Defant, Colin 27 2020 Stack-sorting, set partitions, and Lassalle’s sequence. Zbl 1442.05006 Defant, Colin; Engen, Michael; Miller, Jordan A. 26 2020 Catalan intervals and uniquely sorted permutations. Zbl 1439.05006 Defant, Colin 18 2020 Descents in \(t\)-sorted permutations. Zbl 1441.05005 Defant, Colin 11 2020 Polyurethane toggles. Zbl 1441.05007 Defant, Colin 11 2020 Stack-sorting preimages of permutation classes. Zbl 1447.05004 Defant, Colin 9 2020 Fertility, strong fertility, and postorder Wilf equivalence. Zbl 1439.05007 Defant, Colin 9 2020 Fertility numbers. Zbl 1441.05006 Defant, Colin 9 2020 Quantifying noninvertibility in discrete dynamical systems. Zbl 1475.37045 Defant, Colin; Propp, James 6 2020 Stack-sorting for words. Zbl 1451.68084 Defant, Colin; Kravitz, Noah 5 2020 Isoperimetry, stability, and irredundance in direct products. Zbl 1440.05171 Alon, Noga; Defant, Colin 4 2020 Pattern-avoiding permutation powers. Zbl 1447.05002 Burcroff, Amanda; Defant, Colin 2 2020 Anti-Ramsey theory on complete bipartite graphs. Zbl 1468.05070 Cho, Stephan; Cummings, Jay; Defant, Colin; Sonneborn, Claire 2 2020 Enumerating cliques in direct product graphs. Zbl 1430.05052 Defant, Colin 1 2020 On anti-powers in aperiodic recurrent words. Zbl 1457.05005 Berger, Aaron; Defant, Colin 1 2020 Supertrees. Zbl 1439.05049 Defant, Colin; Kravitz, Noah; Sah, Ashwin 1 2020 On the genus of a quotient of a numerical semigroup. Zbl 1458.20049 Adeniran, Ayomikun; Butler, Steve; Defant, Colin; Gao, Yibo; Harris, Pamela E.; Hettle, Cyrus; Liang, Qingzhong; Nam, Hayan; Volk, Adam 1 2019 Domination and upper domination of direct product graphs. Zbl 1393.05198 Defant, Colin; Iyer, Sumun 7 2018 Connected components of complex divisor functions. Zbl 1420.11127 Defant, Colin 2 2018 Revisiting the Riemann zeta function at positive even integers. Zbl 1404.11103 Alladi, Krishnaswami; Defant, Colin 2 2018 Ranges of unitary divisor functions. Zbl 1439.11251 Defant, Colin 2 2018 Poset pattern-avoidance problems posed by Yakoubov. Zbl 1378.05007 Defant, Colin 1 2018 Preimages under the stack-sorting algorithm. Zbl 1428.05006 Defant, Colin 24 2017 Postorder preimages. Zbl 1397.05010 Defant, Colin 22 2017 Binary codes and period-2 orbits of sequential dynamical systems. Zbl 1406.37035 Defant, Colin 15 2017 Anti-power prefixes of the Thue-Morse word. Zbl 1355.05005 Defant, Colin 7 2017 On 2-powerfully perfect numbers in three quadratic rings. Zbl 1386.11130 Defant, Colin 1 2017 Upper bounds for Stern’s diatomic sequence and related sequences. Zbl 1351.05025 Defant, Colin 8 2016 Unitary Cayley graphs of Dedekind domain quotients. Zbl 1346.05107 Defant, Colin 3 2016 Complex divisor functions. Zbl 1407.11016 Defant, Colin 1 2016 A note about iterated arithmetic functions. Zbl 1349.11002 Defant, Colin 1 2016 On Schemmel nontotient numbers. Zbl 1377.11007 Defant, Colin 1 2016 On the density of ranges of generalized divisor functions. Zbl 1370.11004 Defant, Colin 3 2015 On the density of ranges of generalized divisor functions with restricted domains. Zbl 1397.11016 Defant, Colin 2 2015 On ranges of variants of the divisor functions that are dense. Zbl 1325.11013 Defant, Colin 2 2015 On arithmetic functions related to iterates of the Schemmel totient functions. Zbl 1316.11007 Defant, Colin 1 2015 all cited Publications top 5 cited Publications all top 5 Cited by 152 Authors 39 Defant, Colin 12 Valverde, Jose C. 11 Aledo, Juan Ángel 7 Díaz, Luis Guillermo 7 Martinez, Silvia 5 Burcroff, Amanda 5 Kravitz, Noah 4 Malekbala, Ghazaleh 4 Sharifan, Leila 3 Alon, Noga 3 Barzanouni, Ali 3 Cerbai, Giulio 3 Chen, Yaojun 3 Cioni, Lapo 3 Dilcher, Karl 3 Ericksen, Larry 3 Ferrari, Luca 3 Wang, Lanchao 2 Badkobeh, Golnaz 2 Berger, Aaron 2 Borga, Jacopo 2 Choi, Yunseo 2 Fici, Gabriele 2 Fried, Sela 2 Hopkins, Samuel Francis 2 Li, Rupert 2 Propp, James Gary 2 Puglisi, Simon J. 2 Sentinelli, Paolo 2 Spiegelhofer, Lukas 1 Achenjang, Niven 1 Adenbaum, Ben 1 Alamro, Hayam 1 Alexandersson, Per 1 Amooshahi, Marzieh 1 Archer, Kassie 1 Ashbaugh, Mark S. 1 Asinowski, Andrei 1 Axelrod-Freed, Ilani 1 Banderier, Cydril 1 Bangachev, Kiril 1 Beal, Timothy Kevin 1 Belazzougui, Djamal 1 Berlow, Katalin 1 Bettin, Sandro 1 Bogart, Tristram 1 Bolognini, Davide 1 Bóna, Miklós 1 Bouvel, Mathilde 1 Campbell, John Maxwell 1 Carnevale, Angela 1 Cassell, Catherine 1 Chan, Swee Hong 1 Chen, Xi 1 Chern, Shane 1 Cho, Ilwoo 1 Choi, Yuji 1 Chung, Matthew 1 Colin, Defant 1 Coons, Michael 1 Davvaz, Bijan 1 De Angelis, Valerio 1 Defant, Andreas 1 Dermenjian, Aram 1 Drappeau, Sary 1 Dyer, Matthew J. 1 Elizalde, Sergi 1 Engen, Michael 1 Fu, Shishuo 1 Gaetz, Marisa R. 1 Gao, Alice L. L. 1 Gerbner, Dániel 1 Gesztesy, Fritz 1 Gilboa, Shoni 1 Giraudo, Samuele 1 Graves, Christina M. 1 Gu, Cindy C. Y. 1 Guttmann, Anthony John 1 Hackl, Benjamin 1 Hefetz, Dan 1 Heidari, Dariush 1 Hermi, Lotfi 1 Holden, Nina 1 Hong, Letong 1 Hunter, Zach 1 Iliopoulos, Costas S. 1 Iyer, Sumun 1 Jazaeri, Leila Musavizadeh 1 Jørgensen, Palle E. T. 1 Joseph, Michael 1 Kendrick, Caleb 1 Keramatipour, Ali 1 Kirsten, Klaus 1 Kitaev, Sergey 1 Kozerenko, Sergiy 1 Lin, Zhicong 1 Littlejohn, Lance L. 1 Lu, Junying 1 Luntzlara, Noah 1 Manjabacas, Guillermo ...and 52 more Authors all top 5 Cited in 48 Serials 15 Discrete Mathematics 11 The Electronic Journal of Combinatorics 8 Advances in Applied Mathematics 7 Séminaire Lotharingien de Combinatoire 6 Journal of Combinatorial Theory. Series A 5 European Journal of Combinatorics 4 Graphs and Combinatorics 4 Discrete Mathematics and Theoretical Computer Science. DMTCS 4 Combinatorial Theory 3 Journal of Computational and Applied Mathematics 3 The Australasian Journal of Combinatorics 3 Journal of Integer Sequences 3 Enumerative Combinatorics and Applications 2 Discrete Applied Mathematics 2 Applied Mathematics and Computation 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 SIAM Journal on Discrete Mathematics 2 Complexity 2 Annals of Combinatorics 2 Integers 2 Algebraic Combinatorics 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Information Processing Letters 1 Mathematical Methods in the Applied Sciences 1 Advances in Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 Information Sciences 1 Journal of Combinatorial Theory. Series B 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 Discrete & Computational Geometry 1 International Journal of Computer Mathematics 1 Discussiones Mathematicae. Graph Theory 1 Electronic Journal of Probability 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Number Theory 1 Forum of Mathematics, Sigma 1 Applied Mathematics and Nonlinear Sciences all top 5 Cited in 23 Fields 95 Combinatorics (05-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 20 Computer science (68-XX) 19 Number theory (11-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Probability theory and stochastic processes (60-XX) 7 Group theory and generalizations (20-XX) 6 Information and communication theory, circuits (94-XX) 5 Operations research, mathematical programming (90-XX) 4 Convex and discrete geometry (52-XX) 3 Functional analysis (46-XX) 2 Functions of a complex variable (30-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year