On a Unimodality Conjecture in Matroid Theory. - W. M. B. Dukes (Discret. Math. Theor. Comput. Sci., 2002)

Bounds on the number of generalized partitions and some applications. - W. M. B. Dukes (Australas. J Comb., 2003)

Permutation statistics on involutions. - W. M. B. Dukes (Eur. J. Comb., 2007)

Concerning the shape of a geometric lattice. - W. M. B. Dukes (Discret. Math., 2008)

Wilf classification of three and four letter signed patterns. - W. M. B. Dukes; Toufik Mansour; Astrid Reifegerste (Discret. Math., 2008)

Combinatorial Gray codes for classes of pattern avoiding permutations. - W. M. B. Dukes; Mark F. Flanagan; Toufik Mansour; Vincent Vajnovszki (Theor. Comput. Sci., 2008)

Symmetric Schröder paths and restricted involutions. - Eva Yu-Ping Deng; Mark Dukes; Toufik Mansour; Susan Y. J. Wu (Discret. Math., 2009)

The area above the Dyck path of a permutation. - Mark Dukes; Astrid Reifegerste (Adv. Appl. Math., 2010)

Ascent Sequences and Upper Triangular Matrices Containing Non-Negative Integers. - Mark Dukes; Robert Parviainen (Electron. J. Comb., 2010)

Descent polynomials for permutations with bounded drop size. - Fan R. K. Chung; Anders Claesson; Mark Dukes; Ronald L. Graham (Eur. J. Comb., 2010)

(2+2)-free posets, ascent sequences and pattern avoiding permutations. - Mireille Bousquet-Mélou; Anders Claesson; Mark Dukes; Sergey Kitaev (J. Comb. Theory A, 2010)

A direct encoding of Stoimenows matchings as ascent sequences. - Anders Claesson; Mark Dukes; Sergey Kitaev (Australas. J Comb., 2011)

Composition Matrices, (2+2)-Free Posets and their Specializations. - Mark Dukes; Vít Jelínek; Martina Kubitzke (Electron. J. Comb., 2011)

Partition and composition matrices. - Anders Claesson; Mark Dukes; Martina Kubitzke (J. Comb. Theory A, 2011)

Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a q, t-Narayana polynomial. - Mark Dukes; Yvan Le Borgne (J. Comb. Theory A, 2013)

Web worlds, web-colouring matrices, and web-mixing matrices. - Mark Dukes; Einan Gardi; Einar Steingrímsson; Chris D. White (J. Comb. Theory A, 2013)

Revstack Sort, Zigzag Patterns, Descent Polynomials of $t$-revstack Sortable Permutations, and Steingrímsson's Sorting Conjecture. - Mark Dukes (Electron. J. Comb., 2014)

Statistics on parallelogram polyominoes and a q, t-analogue of the Narayana numbers. - Jean-Christophe Aval; Michele D'Adderio; Mark Dukes; Angela Hicks; Yvan Le Borgne (J. Comb. Theory A, 2014)

Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a Cyclic Lemma. - Jean-Christophe Aval; Michele D'Adderio; Mark Dukes; Yvan Le Borgne (Adv. Appl. Math., 2016)

Generalized ballot sequences are ascent sequences. - Mark Dukes (Australas. J Comb., 2016)

Site-specific recombinatorics: in situ cellular barcoding with the Cre Lox system. - Tom Serge Weber; Mark Dukes; Denise C. Miles; Stefan P. Glaser; Shalin H. Naik; Ken R. Duffy (BMC Syst. Biol., 2016)

Web Matrices: Structural Properties and Generating Combinatorial Identities. - Mark Dukes; Chris D. White (Electron. J. Comb., 2016)

Decomposing recurrent states of the abelian sandpile model. - Mark Dukes; Thomas Selig (Electron. Notes Discret. Math., 2016)

Preface. - Anders Claesson; Mark Dukes; Sergey Kitaev; David F. Manlove; Kitty Meeks (BCC, 2017)

Permutation Graphs and the Abelian Sandpile Model, Tiered Trees and Non-Ambiguous Binary Trees. - Mark Dukes; Thomas Selig; Jason P. Smith; Einar Steingrímsson (Electron. J. Comb., 2019)

The Abelian sandpile model on Ferrers graphs - A classification of recurrent configurations. - Mark Dukes; Thomas Selig; Jason P. Smith; Einar Steingrímsson (Eur. J. Comb., 2019)

Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations. - Mark Dukes; Peter R. W. McNamara (J. Comb. Theory A, 2019)

Combinatorial diversity metrics for the analysis of policy processes. - Mark Dukes; Anthony A. Casey (CoRR, 2020)

Combinatorial diversity metrics for declarative processes: an application to policy process analysis. - Mark Dukes; Anthony A. Casey (Int. J. Gen. Syst., 2021)

The sandpile model on the complete split graph, Motzkin words, and tiered parking functions. - Mark Dukes (J. Comb. Theory A, 2021)

The Federal Disaster Assistance Policy - a declarative analysis. - Mark Dukes (CoRR, 2022)

A maxdrop statistic for standard Young tableaux. - Mark Dukes; Toufik Mansour (Discret. Math. Algorithms Appl., 2022)

Stakeholder Utility Measures for Declarative Processes and Their Use in Process Comparisons. - Mark Dukes (IEEE Trans. Comput. Soc. Syst., 2022)

Weak ascent sequences and related combinatorial structures. - Beáta Bényi; Anders Claesson; Mark Dukes (Eur. J. Comb., 2023)

Difference ascent sequences. - Mark Dukes; Bruce E. Sagan (Adv. Appl. Math., 2024)

Characterizing traces of processes defined by precedence and response constraints: An order theory approach. - Mark Dukes; Anton Sohn (Discret. Appl. Math., 2025)

A note on the lacking polynomial of the complete bipartite graph. - Amal Alofi; Mark Dukes (Discret. Math., 2025)