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» Edge clique graphs and some classes of chordal graphs
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DAM
2006
88views more  DAM 2006»
14 years 9 months ago
A characterization of triangle-free tolerance graphs
We prove that a triangle-free graph G is a tolerance graph if and only if there exists a set of consecutively ordered stars that partition the edges of G. Since tolerance graphs a...
Arthur H. Busch
WG
2010
Springer
14 years 7 months ago
max-cut and Containment Relations in Graphs
book Author Title 58 Bijo S Anand Atoms and clique separators in graph products 59 Asir T Domination in total graph of a commutative ring 60 Sharada B On the Neighbourhood Subdivi...
Marcin Kaminski
SARA
2009
Springer
15 years 4 months ago
A New Formula Rewriting by Reasoning on a Graphical Representation of SAT Instances
In this paper, we propose a new approach for solving the SAT problem. This approach consists in representing SAT instances thanks to an undirected graph issued from a polynomial t...
Philippe Jégou, Lionel Paris
CATS
2006
14 years 11 months ago
On the Approximability of Maximum and Minimum Edge Clique Partition Problems
We consider the following clustering problems: given a general undirected graph, partition its vertices into disjoint clusters such that each cluster forms a clique and the number...
Anders Dessmark, Jesper Jansson, Andrzej Lingas, E...
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
15 years 4 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