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» On Bounds for the k-Partitioning of Graphs
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EJC
2008
14 years 10 months ago
Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
Jaroslav Nesetril, Patrice Ossona de Mendez
JCT
2007
146views more  JCT 2007»
14 years 9 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
JAL
2002
99views more  JAL 2002»
14 years 9 months ago
Kayles and Nimbers
Kayles is a combinatorial game on graphs. Two players select alternatingly a vertex from a given graph G - a chosen vertex may not be adjacent or equal to an already chosen vertex...
Hans L. Bodlaender, Dieter Kratsch
COMBINATORICS
2000
101views more  COMBINATORICS 2000»
14 years 9 months ago
Bound Graph Polysemy
Bound polysemy is the property of any pair (G1, G2) of graphs on a shared vertex set V for which there exists a partial order on V such that any pair of vertices has an upper boun...
Paul J. Tanenbaum
COCO
2004
Springer
93views Algorithms» more  COCO 2004»
15 years 3 months ago
Lower Bounds for Testing Bipartiteness in Dense Graphs
We consider the problem of testing bipartiteness in the adjacency matrix model. The best known algorithm, due to Alon and Krivelevich, distinguishes between bipartite graphs and g...
Andrej Bogdanov, Luca Trevisan