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ORCIDMark Dukes
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- affiliation: University College Dublin, Ireland
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2020 – today
- 2025
[j33]Amal Alofi, Mark Dukes:
A note on the lacking polynomial of the complete bipartite graph. Discret. Math. 348(3): 114323 (2025)- 2024
- [j32]Mark Dukes, Bruce E. Sagan:
Difference ascent sequences. Adv. Appl. Math. 159: 102736 (2024) - 2023
- [j31]Beáta Bényi
, Anders Claesson, Mark Dukes:
Weak ascent sequences and related combinatorial structures. Eur. J. Comb. 108: 103633 (2023) - [i4]Mark Dukes, Anton Sohn:
Characterizing traces of processes defined by precedence and response constraints: an order theory approach. CoRR abs/2311.12218 (2023) - 2022
- [j30]Mark Dukes, Toufik Mansour:
A maxdrop statistic for standard Young tableaux. Discret. Math. Algorithms Appl. 14(2): 2150105:1-2150105:13 (2022) - [j29]Mark Dukes:
Stakeholder Utility Measures for Declarative Processes and Their Use in Process Comparisons. IEEE Trans. Comput. Soc. Syst. 9(2): 546-558 (2022) - [i3]Mark Dukes:
Stakeholder utility measures for declarative processes and their use in process comparisons. CoRR abs/2202.03520 (2022) - [i2]Mark Dukes:
The Federal Disaster Assistance Policy - a declarative analysis. CoRR abs/2207.07392 (2022) - 2021
- [j28]Mark Dukes, Anthony A. Casey:
Combinatorial diversity metrics for declarative processes: an application to policy process analysis. Int. J. Gen. Syst. 50(4): 367-387 (2021) - [j27]Mark Dukes:
The sandpile model on the complete split graph, Motzkin words, and tiered parking functions. J. Comb. Theory A 180: 105418 (2021) - 2020
- [i1]Mark Dukes, Anthony A. Casey:
Combinatorial diversity metrics for the analysis of policy processes. CoRR abs/2008.10401 (2020)
2010 – 2019
- 2019
- [j26]Mark Dukes, Thomas Selig, Jason P. Smith, Einar Steingrímsson:
Permutation Graphs and the Abelian Sandpile Model, Tiered Trees and Non-Ambiguous Binary Trees. Electron. J. Comb. 26(3): 3 (2019) - [j25]Mark Dukes, Thomas Selig, Jason P. Smith, Einar Steingrímsson:
The Abelian sandpile model on Ferrers graphs - A classification of recurrent configurations. Eur. J. Comb. 81: 221-241 (2019) - [j24]Mark Dukes, Peter R. W. McNamara:
Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations. J. Comb. Theory A 167: 403-430 (2019) - 2017
- [c1]Anders Claesson, Mark Dukes, Sergey Kitaev, David F. Manlove, Kitty Meeks:
Preface. BCC 2017: vii-viii - [e1]Anders Claesson, Mark Dukes, Sergey Kitaev, David F. Manlove, Kitty Meeks:
Surveys in Combinatorics, 2017: Invited lectures from the 26th British Combinatorial Conference, Strathclyde, Glasgow, UK, July 3-7, 2017. Cambridge University Press 2017, ISBN 978-1-108-41313-8 [contents] - 2016
- [j23]Jean-Christophe Aval, Michele D'Adderio, Mark Dukes, Yvan Le Borgne:
Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a Cyclic Lemma. Adv. Appl. Math. 73: 59-98 (2016) - [j22]Mark Dukes:
Generalized ballot sequences are ascent sequences. Australas. J Comb. 64: 61-63 (2016) - [j21]Tom Serge Weber, Mark Dukes, Denise C. Miles, Stefan P. Glaser, Shalin H. Naik, Ken R. Duffy:
Site-specific recombinatorics: in situ cellular barcoding with the Cre Lox system. BMC Syst. Biol. 10: 43 (2016) - [j20]Mark Dukes, Chris D. White:
Web Matrices: Structural Properties and Generating Combinatorial Identities. Electron. J. Comb. 23(1): 1 (2016) - [j19]Mark Dukes, Thomas Selig:
Decomposing recurrent states of the abelian sandpile model. Electron. Notes Discret. Math. 54: 97-102 (2016) - 2014
- [j18]Mark Dukes:
Revstack Sort, Zigzag Patterns, Descent Polynomials of $t$-revstack Sortable Permutations, and Steingrímsson's Sorting Conjecture. Electron. J. Comb. 21(2): 2 (2014) - [j17]Jean-Christophe Aval, Michele D'Adderio, Mark Dukes, Angela Hicks, Yvan Le Borgne:
Statistics on parallelogram polyominoes and a q, t-analogue of the Narayana numbers. J. Comb. Theory A 123(1): 271-286 (2014) - 2013
- [j16]Mark Dukes, Yvan Le Borgne:
Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a q, t-Narayana polynomial. J. Comb. Theory A 120(4): 816-842 (2013) - [j15]Mark Dukes, Einan Gardi, Einar Steingrímsson, Chris D. White:
Web worlds, web-colouring matrices, and web-mixing matrices. J. Comb. Theory A 120(5): 1012-1037 (2013) - 2011
- [j14]Anders Claesson, Mark Dukes, Sergey Kitaev:
A direct encoding of Stoimenows matchings as ascent sequences. Australas. J Comb. 49: 47-60 (2011) - [j13]Mark Dukes, Vít Jelínek, Martina Kubitzke:
Composition Matrices, (2+2)-Free Posets and their Specializations. Electron. J. Comb. 18(1) (2011) - [j12]Anders Claesson, Mark Dukes, Martina Kubitzke:
Partition and composition matrices. J. Comb. Theory A 118(5): 1624-1637 (2011) - 2010
- [j11]Mark Dukes, Astrid Reifegerste:
The area above the Dyck path of a permutation. Adv. Appl. Math. 45(1): 15-23 (2010) - [j10]Mark Dukes, Robert Parviainen:
Ascent Sequences and Upper Triangular Matrices Containing Non-Negative Integers. Electron. J. Comb. 17(1) (2010) - [j9]Fan R. K. Chung, Anders Claesson, Mark Dukes, Ronald L. Graham:
Descent polynomials for permutations with bounded drop size. Eur. J. Comb. 31(7): 1853-1867 (2010) - [j8]Mireille Bousquet-Mélou, Anders Claesson, Mark Dukes, Sergey Kitaev:
(2+2)-free posets, ascent sequences and pattern avoiding permutations. J. Comb. Theory A 117(7): 884-909 (2010)
2000 – 2009
- 2009
- [j7]Eva Yu-Ping Deng, Mark Dukes, Toufik Mansour, Susan Y. J. Wu:
Symmetric Schröder paths and restricted involutions. Discret. Math. 309(12): 4108-4115 (2009) - 2008
- [j6]W. M. B. Dukes, Toufik Mansour, Astrid Reifegerste:
Wilf classification of three and four letter signed patterns. Discret. Math. 308(15): 3125-3133 (2008) - [j5]W. M. B. Dukes:
Concerning the shape of a geometric lattice. Discret. Math. 308(24): 6632-6638 (2008) - [j4]W. M. B. Dukes, Mark F. Flanagan, Toufik Mansour, Vincent Vajnovszki:
Combinatorial Gray codes for classes of pattern avoiding permutations. Theor. Comput. Sci. 396(1-3): 35-49 (2008) - 2007
- [j3]W. M. B. Dukes:
Permutation statistics on involutions. Eur. J. Comb. 28(1): 186-198 (2007) - 2003
- [j2]W. M. B. Dukes:
Bounds on the number of generalized partitions and some applications. Australas. J Comb. 28: 257-262 (2003) - 2002
- [j1]W. M. B. Dukes:
On a Unimodality Conjecture in Matroid Theory. Discret. Math. Theor. Comput. Sci. 5(1): 181-190 (2002)
Coauthor Index
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