65 citations
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Showing 2009Show all
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math.CO2009★ 10 cited
A direct encoding of Stoimenow's matchings as ascent sequences
Anders Claesson, Mark Dukes, Sergey Kitaev
In connection with Vassiliev's knot invariants, Stoimenow (1998) introduced certain matchings, also called regular linearized chord diagrams. Bousquet-Melou et al. (2008) gave a bi…
math.CO2009★ 2 cited
Ascent sequences and upper triangular matrices containing non-negative integers
Mark Dukes, Robert Parviainen
This paper presents a bijection between ascent sequences and upper triangular matrices whose non-negative entries are such that all rows and columns contain at least one non-zero e…
math.CO2009★ 1 cited
Place-difference-value patterns: A generalization of generalized permutation and word patterns
Sergey Kitaev, Jeffrey Remmel
Motivated by study of Mahonian statistics, in 2000, Babson and Steingrimsson introduced the notion of a "generalized permutation pattern" (GP) which generalizes the concept of "cla…