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» Enumerating Triangulation Paths
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MFCS
2004
Springer
14 years 22 days ago
Generating Paths and Cuts in Multi-pole (Di)graphs
Let G = (V, E) be a (directed) graph with vertex set V and edge (arc) set E. Given a set P of (source-sink) pairs of vertices of G, an important problem that arises in the computat...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 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...
DM
2006
91views more  DM 2006»
13 years 7 months ago
Restricted Dumont permutations, Dyck paths, and noncrossing partitions
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some ...
Alexander Burstein, Sergi Elizalde, Toufik Mansour
ICTAI
2005
IEEE
14 years 29 days ago
Reachability Analysis for Uncertain SSPs
Stochastic Shortest Path problems (SSPs) can be efficiently dealt with by the Real-Time Dynamic Programming algorithm (RTDP). Yet, RTDP requires that a goal state is always reach...
Olivier Buffet
EJC
2007
13 years 7 months ago
The origins of combinatorics on words
We investigate the historical roots of the field of combinatorics on words. They comprise applications and interpretations in algebra, geometry and combinatorial enumeration. The...
Jean Berstel, Dominique Perrin