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COMBINATORICS
2000
97views more  COMBINATORICS 2000»
9 years 7 months ago
Counting Lattice Paths by Narayana Polynomials
Let d(n) count the lattice paths from (0, 0) to (n, n) using the steps (0,1), (1,0), and (1,1). Let e(n) count the lattice paths from (0, 0) to (n, n) with permitted steps from th...
Robert A. Sulanke
JCT
2007
90views more  JCT 2007»
9 years 7 months ago
Elliptic enumeration of nonintersecting lattice paths
We enumerate lattice paths in the planar integer lattice consisting of positively directed unit vertical and horizontal steps with respect to a speciļ¬c elliptic weight function. ...
Michael Schlosser
JCT
2008
57views more  JCT 2008»
9 years 7 months ago
Partially directed paths in a wedge
The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both ...
E. J. Janse van Rensburg, T. Prellberg, A. Rechnit...
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
9 years 7 months ago
Matchings Avoiding Partial Patterns and Lattice Paths
In this paper, we consider matchings avoiding partial patterns 1123 and 1132. We give a bijection between 1123-avoiding matchings with n edges and nonnegative lattice paths from (...
Vít Jelínek, Nelson Y. Li, Toufik Ma...
EJC
2008
9 years 7 months ago
Dyck paths with coloured ascents
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
Andrei Asinowski, Toufik Mansour
CORR
2010
Springer
162views Education» more  CORR 2010»
9 years 7 months ago
Random sampling of lattice paths with constraints, via transportation
We investigate Monte Carlo Markov Chain (MCMC) procedures for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. We will see that...
Lucas Gerin
ICASSP
2010
IEEE
9 years 7 months ago
Subword-based spoken term detection in audio course lectures
This paper investigates spoken term detection (STD) from audio recordings of course lectures obtained from an existing media repository. STD is performed from word lattices genera...
Richard Rose, Atta Norouzian, Aarthi Reddy, Andr&e...
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