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» Cleaning Interval Graphs
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IPL
2010
115views more  IPL 2010»
14 years 8 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
89
Voted
SIROCCO
1998
14 years 11 months ago
Characterization results of all shortest paths interval routing schemes
We give complete characterizations of the classes of graphs with uniform cost links which admit optimum all shortest paths 1 ? SLIRS (Strict Linear Interval Routing Schemes) and 1...
Michele Flammini, Giorgio Gambosi, Umberto Nanni, ...
DAM
2006
88views more  DAM 2006»
14 years 10 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 10 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
SSS
2009
Springer
107views Control Systems» more  SSS 2009»
15 years 4 months ago
A Self-stabilizing Algorithm for Graph Searching in Trees
Graph searching games have been extensively studied in the past years. The graph searching problem involves a team of searchers who are attempting to capture a fugitive moving alon...
Rodica Mihai, Morten Mjelde