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Author ID: defant.colin Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year