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EJC
2008
13 years 7 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»
13 years 7 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
COMBINATORICS
2000
101views more  COMBINATORICS 2000»
13 years 7 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»
14 years 1 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
SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
13 years 12 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki