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» On the Grundy Number of a Graph
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JGT
2006
98views more  JGT 2006»
13 years 7 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
RSA
2002
81views more  RSA 2002»
13 years 7 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
ENDM
2007
91views more  ENDM 2007»
13 years 7 months ago
On facets of stable set polytopes of claw-free graphs with stability number three
Providing a complete description of the stable set polytopes of claw-free graphs is a longstanding open problem since almost twenty years. Eisenbrandt et al. recently achieved a b...
Arnaud Pêcher, Pierre Pesneau, Annegret Wagl...
ISAAC
2009
Springer
87views Algorithms» more  ISAAC 2009»
14 years 7 days ago
Parameterizing Cut Sets in a Graph by the Number of Their Components
For a connected graph G = (V, E), a subset U ⊆ V is called a k-cut if U disconnects G, and the subgraph induced by U contains exactly k (≥ 1) components. More specifically, a ...
Takehiro Ito, Marcin Kaminski, Daniël Paulusm...
JGT
2010
158views more  JGT 2010»
13 years 6 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran