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ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
13 years 7 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks
DM
2000
150views more  DM 2000»
13 years 7 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
MFCS
2007
Springer
14 years 1 months ago
Well Supported Approximate Equilibria in Bimatrix Games: A Graph Theoretic Approach
Abstract. We study the existence and tractability of a notion of approximate equilibria in bimatrix games, called well supported approximate Nash Equilibria (SuppNE in short). We p...
Spyros C. Kontogiannis, Paul G. Spirakis
CORR
2006
Springer
68views Education» more  CORR 2006»
13 years 7 months ago
A rigorous proof of the cavity method for counting matchings
In this paper we rigorously prove the validity of the cavity method for the problem of counting the number of matchings in graphs with large girth. Cavity method is an important he...
Mohsen Bayati, Chandra Nair
LICS
2010
IEEE
13 years 5 months ago
Highly Acyclic Groups, Hypergraph Covers and the Guarded Fragment
We construct finite groups whose Cayley graphs have large girth even w.r.t. a discounted distance measure that contracts arbitrarily long sequences of edges from the same colour ...
Martin Otto