Satisfactory graph partition, variants, and generalizations
نویسندگان
چکیده
The Satisfactory Partition problem asks for deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neighbors in its part as in the other part. This problem was introduced by Gerber and Kobler [EJOR, 125 (2000), 283–291] and studied further by other authors. In this paper we first review some applications and related problems. Then, we survey structural, complexity, and approximation results obtained for Satisfactory Partition and for some of its variants and generalizations. A list of open questions concludes this survey.
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ورودعنوان ژورنال:
- European Journal of Operational Research
دوره 206 شماره
صفحات -
تاریخ انتشار 2010