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DAM
2002
91views more  DAM 2002»
13 years 4 months ago
NeST graphs
We establish results on NeST graphs (intersection tolerance graphs of neighborhood subtrees of a tree) and several subclasses. In particular, we show the equivalence of proper NeS...
Ryan B. Hayward, Paul E. Kearney, Andrew J. Malton
DAM
2006
88views more  DAM 2006»
13 years 4 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
STACS
2010
Springer
13 years 11 months ago
The Recognition of Tolerance and Bounded Tolerance Graphs
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This subclass of perfect graphs has bee...
George B. Mertzios, Ignasi Sau, Shmuel Zaks