Graph transformations preserving the stability number
نویسندگان
چکیده
منابع مشابه
Graph transformations preserving the stability number
We analyse the relations between several graph transformations that were introduced to be used in procedures determining the stability number of a graph. We show that all these transformations can be decomposed into a sequence of edge deletions and twin deletions. We also show how some of these transformations are related to the notion of even pair introduced to color some classes of perfect gr...
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Graph transformations proved useful for many algorithmic problems. In the present paper, we study this tool with respect to the maximum stable set problem. We first review available results on this topic and then propose an approach to uniformly describe and systematically develop graph transformations that do not change the size of a maximum stable set in the graph. The approach is illustrated...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2009
ISSN: 1571-0653
DOI: 10.1016/j.endm.2009.11.002