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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
TCS
2010
14 years 7 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»
14 years 8 months ago
Random Generation and Enumeration of Proper Interval Graphs
Toshiki Saitoh, Katsuhisa Yamanaka, Masashi Kiyomi...
DAM
2006
91views more  DAM 2006»
14 years 9 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
14 years 10 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, ...