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20002022
most citedTwo Bijections for Dyck Path Parameters

19 citations · 98 across the 36 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.CO2017★ 1 cited

Enumeration of permutations avoiding a triple of 4-letter patterns is all done

David Callan, Toufik Mansour, Mark Shattuck

This paper completes a project to enumerate permutations avoiding a triple T of 4-letter patterns, in the sense of classical pattern avoidance, for every T. There are 317 symmetry…

math.CO2017

Enumeration of small Wilf classes avoiding 1342 and two other -letter patterns

David Callan, Toufik Mansour

This paper is one of a series whose goal is to enumerate the avoiders, in the sense of classical pattern avoidance, for each triple of 4-letter patterns. There are 317 symmetry cla…

math.CO2017★ 2 cited

Bijections for Dyck paths with all peak heights of the same parity

David Callan

We show bijectively that Dyck paths with all peaks at odd height are counted by the Motzkin numbers and Dyck paths with all peaks at even height are counted by the Riordan numbers.