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» The Chromatic Number Of Graph Powers
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EJC
2007
15 years 6 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
16 years 27 days 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 6 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,...
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
16 years 1 months ago
Harmonious Coloring on Subclasses of Colinear Graphs
Given a simple graph G, a harmonious coloring of G is a proper vertex coloring such that each pair of colors appears together on at most one edge. The harmonious chromatic number i...
Kyriaki Ioannidou, Stavros D. Nikolopoulos
CG
2008
Springer
15 years 8 months ago
About the Completeness of Depth-First Proof-Number Search
Abstract. Depth-first proof-number (df-pn) search is a powerful member of the family of algorithms based on proof and disproof numbers. While df-pn has succeeded in practice, its t...
Akihiro Kishimoto, Martin Müller 0003