Mark Dukes

According to our database, Mark Dukes authored at least 35 papers between 2002 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2023

Weak ascent sequences and related combinatorial structures.

Beáta Bényi, Anders Claesson, Mark Dukes

Eur. J. Comb., 2023

Characterizing traces of processes defined by precedence and response constraints: an order theory approach.

Mark Dukes, Anton Sohn

CoRR, 2023

2022

Stakeholder Utility Measures for Declarative Processes and Their Use in Process Comparisons.

Mark Dukes

IEEE Trans. Comput. Soc. Syst., 2022

A maxdrop statistic for standard Young tableaux.

Mark Dukes, Toufik Mansour

Discret. Math. Algorithms Appl., 2022

The Federal Disaster Assistance Policy - a declarative analysis.

Mark Dukes

CoRR, 2022

2021

The sandpile model on the complete split graph, Motzkin words, and tiered parking functions.

Mark Dukes

J. Comb. Theory, Ser. A, 2021

Combinatorial diversity metrics for declarative processes: an application to policy process analysis.

Mark Dukes, Anthony A. Casey

Int. J. Gen. Syst., 2021

2020

Combinatorial diversity metrics for the analysis of policy processes.

Mark Dukes, Anthony A. Casey

CoRR, 2020

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, Ser. A, 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

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

2017

Preface.

Anders Claesson, Mark Dukes, Sergey Kitaev, David F. Manlove, Kitty Meeks

Proceedings of the Surveys in Combinatorics, 2017

2016

Decomposing recurrent states of the abelian sandpile model.

Mark Dukes, Thomas Selig

Electron. Notes Discret. Math., 2016

Web Matrices: Structural Properties and Generating Combinatorial Identities.

Mark Dukes, Chris D. White

Electron. 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

Generalized ballot sequences are ascent sequences.

Mark Dukes

Australas. J Comb., 2016

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

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, Ser. A, 2014

Revstack Sort, Zigzag Patterns, Descent Polynomials of $t$-revstack Sortable Permutations, and Steingrímsson's Sorting Conjecture.

Mark Dukes

Electron. J. Comb., 2014

2013

Web worlds, web-colouring matrices, and web-mixing matrices.

Mark Dukes, Einan Gardi, Einar Steingrímsson, Chris D. White

J. Comb. Theory, Ser. A, 2013

Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a <i>q</i>, <i>t</i>-Narayana polynomial.

Mark Dukes, Yvan Le Borgne

J. Comb. Theory, Ser. A, 2013

2011

Partition and composition matrices.

Anders Claesson, Mark Dukes, Martina Kubitzke

J. Comb. Theory, Ser. A, 2011

Composition Matrices, (2+2)-Free Posets and their Specializations.

Mark Dukes, Vít Jelínek, Martina Kubitzke

Electron. J. Comb., 2011

A direct encoding of Stoimenows matchings as ascent sequences.

Anders Claesson, Mark Dukes, Sergey Kitaev

Australas. J Comb., 2011

2010

(2+2)-free posets, ascent sequences and pattern avoiding permutations.

Mireille Bousquet-Mélou, Anders Claesson, Mark Dukes, Sergey Kitaev

J. Comb. Theory, Ser. A, 2010

Descent polynomials for permutations with bounded drop size.

Fan R. K. Chung, Anders Claesson, Mark Dukes, Ronald L. Graham

Eur. J. Comb., 2010

Ascent Sequences and Upper Triangular Matrices Containing Non-Negative Integers.

Mark Dukes, Robert Parviainen

Electron. J. Comb., 2010

The area above the Dyck path of a permutation.

Mark Dukes, Astrid Reifegerste

Adv. Appl. Math., 2010

2009

Symmetric Schröder paths and restricted involutions.

Eva Yu-Ping Deng, Mark Dukes, Toufik Mansour, Susan Y. J. Wu

Discret. Math., 2009

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

Wilf classification of three and four letter signed patterns.

W. M. B. Dukes, Toufik Mansour, Astrid Reifegerste

Discret. Math., 2008

Concerning the shape of a geometric lattice.

W. M. B. Dukes

Discret. Math., 2008

2007

Permutation statistics on involutions.

W. M. B. Dukes

Eur. J. Comb., 2007

2003

Bounds on the number of generalized partitions and some applications.

W. M. B. Dukes

Australas. J Comb., 2003

2002

On a Unimodality Conjecture in Matroid Theory.

W. M. B. Dukes

Discret. Math. Theor. Comput. Sci., 2002