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Abstract: Focusing on bijective methods, we count lattice paths having various sets of permitted steps. The selected step sets yield path counts expressible in terms of Narayana polynomials. Our main result answers an open problem in Stanley's recent book; the result gives a bijection relating paths using quite general steps to paths using the steps (0, 1), (1, 0), and (1, 1). (Update)
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BibTeX entry: (Update)
@misc{ sulanke-counting,
author = "Robert A. Sulanke",
title = "Counting Lattice Paths With Various Step Sets",
url = "citeseer.ist.psu.edu/292539.html" }
Citations (may not include all citations):267 Enumerative Combinatorics (context) - Stanley - 1999
6 oder numbers arising from combinatorial statistics on lattic.. (context) - Bonin, Shapiro et al. - 1993
6 A symmetric variation of distribution of Kreweras and Poupar.. (context) - Sulanke - 1993
4 personal communication (context) - Deutsch - 1999
4 The Narayana distribution - Sulanke
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