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87
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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
4OR
2005
71views more  4OR 2005»
14 years 9 months ago
On rank-perfect subclasses of near-bipartite graphs
Shepherd (1995) proved that the stable set polytopes of near-bipartite graphs are given by constraints associated with the complete join of antiwebs only. For antiwebs, the facet s...
Annegret Wagler
CORR
2008
Springer
71views Education» more  CORR 2008»
14 years 9 months ago
Asteroids in rooted and directed path graphs
An asteroidal triple is a stable set of three vertices such that each pair is connected by a path avoiding the neighborhood of the third vertex. Asteroidal triples play a central ...
Kathie Cameron, Chính T. Hoàng, Benj...
ORL
2008
99views more  ORL 2008»
14 years 9 months ago
Some tractable instances of interval data minmax regret problems
This paper focuses on tractable instances of interval data minmax regret graph problems. More precisely, we provide polynomial and pseudopolynomial algorithms for sets of particul...
Bruno Escoffier, Jérôme Monnot, Olivi...
92
Voted
DAM
2011
14 years 4 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...