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COMBINATORICS
2007
42views more  COMBINATORICS 2007»
15 years 14 days ago
Graphs with Chromatic Roots in the Interval (1, 2)
We present an infinite family of 3-connected non-bipartite graphs with chromatic roots in the interval (1, 2) thus resolving a conjecture of Jackson’s in the negative. In addit...
Gordon F. Royle
74
Voted
JCT
2008
68views more  JCT 2008»
15 years 13 days ago
Pseudo 2-factor isomorphic regular bipartite graphs
A graph is pseudo 2
Marien Abreu, A. A. Diwan, Bill Jackson, Domenico ...
CORR
2008
Springer
110views Education» more  CORR 2008»
15 years 16 days ago
Perfect Matchings via Uniform Sampling in Regular Bipartite Graphs
In this paper we further investigate the well-studied problem of finding a perfect matching in a regular bipartite graph. The first non-trivial algorithm, with running time O(mn),...
Ashish Goel, Michael Kapralov, Sanjeev Khanna
SIAMDM
2008
122views more  SIAMDM 2008»
15 years 11 days ago
Cycle Systems in the Complete Bipartite Graph Plus a One-Factor
Let Kn,n denote the complete bipartite graph with n vertices in each partite set and Kn,n +I denote Kn,n with a 1-factor added. It is proved in this paper that there exists an m-c...
Liqun Pu, Hao Shen, Jun Ma, San Ling
102
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ORL
2007
82views more  ORL 2007»
14 years 12 months ago
The path partition problem and related problems in bipartite graphs
We prove that it is NP-complete to decide whether a bipartite graph of maximum degree three on nk vertices can be partitioned into n paths of length k. Finally, we propose some ap...
Jérôme Monnot, Sophie Toulouse