Tolerance graphs
نویسندگان
چکیده
منابع مشابه
Tolerance graphs
Tolerance graphs arise from the intersection of intervals with varying tolerances in a way that generalizes both interval graphs and permutation graphs. In this paper we prove that every tolerance graph is perfect by demonstrating that its complement is perfectly orderable. We show that a tolerance graph cannot contain a chordless cycle of length greater than or equal to 5 nor the complement of...
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Jacobson, MS., J. Lehel and L.M. Lesniak, @threshold and $-tolerance chain graphs, Discrete Applied Mathematics 44 (1993) 191-203. In this paper we introduce a class of graphs called $-threshold graphs which generalize threshold graphs. These graphs are studied for various functions I+? that include “max” and “min” as special cases. The graphs are then shown to fit into the more general setting...
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We show that if a tolerance graph is the complement of a comparability graph it is a trapezoid graph, i.e., the complement of an order of interval dimension at most 2. As consequences we are able to give obstructions for the class of bounded tolerance graphs and to give an example of a graph which is alternatingly orientable but not a tolerance graph. We also characterize the tolerance graphs a...
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In this paper, we introduce a class of graphs that generalize threshold graphs by introducing threshold tolerances. Several characterizations of these graphs are presented, one of which leads to a polynomial-time recognition algorithm. It is also shown that the complements of these graphs contain interval graphs and threshold graphs, and are contained in the subclass of chordal graphs called st...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1984
ISSN: 0166-218X
DOI: 10.1016/0166-218x(84)90016-7