On the Existence and Determination of Satisfactory Partitions in a Graph
نویسندگان
چکیده
The Satisfactory Partition problem consists in deciding if a given graph has a partition of its vertex set into two nonempty sets V1, V2 such that for each vertex v, if v ∈ Vi then dVi(v) ≥ s(v), where s(v) ≤ d(v) is a given integer-valued function. This problem was introduced by Gerber and Kobler [EJOR 125 (2000), 283–291] for s = ⌈ d 2 ⌉. In this paper we study the complexity of this problem for different values of s.
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