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WG
2005
Springer
14 years 3 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
DM
2008
68views more  DM 2008»
13 years 10 months ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
APAL
2006
63views more  APAL 2006»
13 years 10 months ago
Satisfaction of existential theories in finitely presented groups and some embedding theorems
Abstract. The main result is that for every recursively enumerable existential consistent theory (in the usual language of group theory), there exists a finitely presented SQ-univ...
Abderezak Ould Houcine
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
13 years 10 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
CPC
2007
88views more  CPC 2007»
13 years 10 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson