Mark Dukes

发表

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

Mark Dukes, M. Dukes, 2014, Electron. J. Comb..

Web Matrices: Structural Properties and Generating Combinatorial Identities

Mark Dukes, Chris D. White, C. White, 2016, Electron. J. Comb..

Symmetric Schröder paths and restricted involutions

Toufik Mansour, Susan Y. J. Wu, Mark Dukes, 2008, Discret. Math..

Decomposing recurrent states of the abelian sandpile model

Thomas Selig, Mark Dukes, 2016, Electron. Notes Discret. Math..

The bubble sort operator

Mathilde Bouvel, Anders Claesson, Michael H. Albert, 2010 .

Permutation Graphs and the Abelian Sandpile Model, Tiered Trees and Non-Ambiguous Binary Trees

Jason P. Smith, Thomas Selig, Mark Dukes, 2018, Electron. J. Comb..

Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a q, t-Narayana polynomial

Mark Dukes, Yvan Le Borgne, 2013, J. Comb. Theory, Ser. A.

(2+2)-free Posets, Ascent Sequences and Pattern Avoiding Permutations

Sergey Kitaev, Anders Claesson, Mireille Bousquet-Mélou, 2008, J. Comb. Theory, Ser. A.

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

Vít Jelínek, Mark Dukes, Martina Kubitzke, 2011, Electron. J. Comb..

Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations

Mark Dukes, Peter R. W. McNamara, M. Dukes, 2018, J. Comb. Theory, Ser. A.

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

Mark Dukes, Einar Steingrímsson, Chris D. White, 2013, J. Comb. Theory, Ser. A.

Site-specific recombinatorics: in situ cellular barcoding with the Cre Lox system

Ken R. Duffy, Mark Dukes, Tom S. Weber, 2016, BMC Systems Biology.

Generalized ballot sequences are ascent sequences

Mark Dukes, 2016, Australas. J Comb..

Ascent Sequences and Upper Triangular Matrices Containing Non-Negative Integers

Mark Dukes, Robert Parviainen, R. Parviainen, 2009, Electron. J. Comb..

A direct encoding of Stoimenows matchings as ascent sequences

Sergey Kitaev, Anders Claesson, Mark Dukes, 2011, Australas. J Comb..

The area above the Dyck path of a permutation

Mark Dukes, Astrid Reifegerste, M. Dukes, 2008, Adv. Appl. Math..

Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a Cyclic Lemma

Jean-Christophe Aval, Mark Dukes, Yvan Le Borgne, 2013, Adv. Appl. Math..

Statistics on parallelogram polyominoes and a q, t-analogue of the Narayana numbers

Jean-Christophe Aval, Mark Dukes, Yvan Le Borgne, 2013, J. Comb. Theory A.

The Abelian sandpile model on Ferrers graphs - A classification of recurrent configurations

Jason P. Smith, Thomas Selig, Mark Dukes, 2019, Eur. J. Comb..

Descent polynomials for permutations with bounded drop size

Fan Chung Graham, Ronald L. Graham, Anders Claesson, 2009, Eur. J. Comb..

A maxdrop statistic for standard Young tableaux

Toufik Mansour, Mark Dukes, 2021 .

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

Mark Dukes, Anthony A. Casey, 2021, Int. J. Gen. Syst..

Weak ascent sequences and related combinatorial structures

Anders Claesson, Mark Dukes, Be'ata B'enyi, 2021 .

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

Mark Dukes, 2021, J. Comb. Theory, Ser. A.

Chip-Firing on the Complete Split Graph: Motzkin Words and Tiered Parking Functions

Mark Dukes, 2021, Trends in Mathematics.

Permutations Sortable by n – 4 Passes Through a Stack

Anders Claesson, Mark Dukes, Einar Steingrímsson, 2008, 0812.0143.

Combinatorial structures in finite classical polar spaces

David Manlove, Sergey Kitaev, Antonio Cossidente, 2017 .

Parallelogram polyominoes , the sandpile model on a bipartite graph , and a q , t-Narayana polynomial

Mark Dukes, 2012 .

New equivalences for pattern avoidance for involutions

Toufik Mansour, Vít Jelínek, Mark Dukes, 2007 .