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» The chromatic covering number of a graph
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DM
2010
143views more  DM 2010»
13 years 7 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
DM
2007
78views more  DM 2007»
13 years 7 months ago
Properties of vertex cover obstructions
We study properties of the sets of minimal forbidden minors for the families of graphs having a vertex cover of size at most k. We denote this set by O(k-VERTEX COVER) and call it...
Michael J. Dinneen, Rongwei Lai
INFOCOM
2009
IEEE
14 years 2 months ago
Delay Guarantees for Throughput-Optimal Wireless Link Scheduling
—We consider the question of obtaining tight delay guarantees for throughout-optimal link scheduling in arbitrary topology wireless ad-hoc networks. We consider two classes of sc...
Koushik Kar, Xiang Luo, Saswati Sarkar
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 7 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
DM
2000
91views more  DM 2000»
13 years 7 months ago
Perfection thickness of graphs
We determine the order of growth of the worst-case number of perfect subgraphs needed to cover an n-vertex graph.
Hirotsugu Asari, Tao Jiang, André Künd...