Publications (22)
Permutation graphs and the Abelian sandpile model, tiered trees and non-ambiguous binary trees
Mark Dukes, Thomas Selig, Jason P. Smith +1
Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers
Jean-Christophe Aval, Michele D'Adderio, Mark Dukes +2
Partition and composition matrices
Anders Claesson, Mark Dukes, Martina Kubitzke
New equivalences for pattern avoiding involutions
Mark Dukes, Vit JelÃnek, Toufik Mansour +1
Web worlds, web-colouring matrices, and web-mixing matrices
Mark Dukes, Einan Gardi, Einar Steingrimsson +1
Random tree growth by vertex splitting
Francois David, Mark Dukes, Thordur Jonsson +1
Ascent sequences and upper triangular matrices containing non-negative integers
Mark Dukes, Robert Parviainen
On the inverse image of pattern classes under bubble sort
Michael H. Albert, M. D. Atkinson, Mathilde Bouvel +2
Site-specific recombinatorics: in situ cellular barcoding with the Cre Lox system
Tom S. Weber, Mark Dukes, Denise Miles +3
Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a q,t-Narayana polynomial
Mark Dukes, Yvan Le Borgne
Webs and Posets
Mark Dukes, Einan Gardi, Heather McAslan +2
Web matrices: structural properties and generating combinatorial identities
Mark Dukes, Chris D. White
The area above the Dyck path of a permutation
Mark Dukes, Astrid Reifegerste
Descent polynomials for permutations with bounded drop size
Fan Chung, Anders Claesson, Mark Dukes +1
Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations
Mark Dukes, Peter R. W. McNamara
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 +1
The Abelian sandpile model on Ferrers graphs -- A classification of recurrent configurations
Mark Dukes, Thomas Selig, Jason P. Smith +1
Symmetric Schroder paths and restricted involutions
Eva Y. P. Deng, Mark Dukes, Toufik Mansour +1
A direct encoding of Stoimenow's matchings as ascent sequences
Anders Claesson, Mark Dukes, Sergey Kitaev
Revstack sort, zigzag patterns, descent polynomials of $t$-revstack sortable permutations, and SteingrÃmsson's sorting conjecture
Mark Dukes
Enumerating (2+2)-free posets by indistinguishable elements
Mark Dukes, Sergey Kitaev, Jeffrey Remmel +1
Permutations sortable by n-4 passes through a stack
Anders Claesson, Mark Dukes, Einar Steingrimsson