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» The chromatic covering number of a graph
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DM
2010
143views more  DM 2010»
14 years 12 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»
14 years 11 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
15 years 6 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»
16 years 3 days 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»
14 years 11 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...