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DAM
2006
88views more  DAM 2006»
13 years 5 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
TCS
2010
13 years 4 months ago
A polynomial solution to the k-fixed-endpoint path cover problem on proper interval graphs
: We study a variant of the path cover problem, namely, the k-fixed-endpoint path cover problem, or kPC for short. Given a graph G and a subset T of k vertices of V (G), a k-fixe...
Katerina Asdre, Stavros D. Nikolopoulos
IEICET
2010
91views more  IEICET 2010»
13 years 4 months ago
Random Generation and Enumeration of Proper Interval Graphs
Toshiki Saitoh, Katsuhisa Yamanaka, Masashi Kiyomi...
DAM
2006
91views more  DAM 2006»
13 years 5 months ago
Precoloring extension on unit interval graphs
In the precoloring extension problem we are given a graph with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to a ...
Dániel Marx
SIROCCO
1998
13 years 7 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, ...