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DAM
2002
91views more  DAM 2002»
13 years 6 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 7 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
14 years 1 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