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» On the adaptable chromatic number of graphs
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IWOCA
2009
Springer
152views Algorithms» more  IWOCA 2009»
14 years 1 months ago
Better Polynomial Algorithms on Graphs of Bounded Rank-Width
Abstract. Although there exist many polynomial algorithms for NPhard problems running on a bounded clique-width expression of the input graph, there exists only little comparable w...
Robert Ganian, Petr Hlinený
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,...
EJC
2007
13 years 7 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus
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,...