Recognizing graphs without asteroidal triples
نویسندگان
چکیده
منابع مشابه
Asteroidal triples of moplexes
An asteroidal triple is an independent set of vertices such that each pair is joined by a path that avoids the neighborhood of the third, and a moplex is an extension to an arbitrary graph of a simplicial vertex in a triangulated graph. The main result of this paper is that the investigation of the set of moplexes of a graph is sufficient to conclude as to its having an asteroidal triple. Speci...
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An independent set of three vertices such that each pair is joined by a path that avoids the neighborhood of the third is called an asteroidal triple. A graph is asteroidal triple-free (AT-free) if it contains no asteroidal triples. The motivation for this investigation was provided, in part, by the fact that the AT-free graphs provide a common generalization of interval, permutation, trapezoid...
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ژورنال
عنوان ژورنال: Journal of Discrete Algorithms
سال: 2004
ISSN: 1570-8667
DOI: 10.1016/j.jda.2004.04.005