The list partition problem for graphs

  title={The list partition problem for graphs},
  author={Kathie Cameron and Elaine M. Eschen and Ch{\'i}nh T. Ho{\`a}ng and R. Sritharan},
We consider the problem of partitioning the vertex-set of a graph into at most k parts A1, A2,..., Ak, where it may be specified that Ai induce a stable set, a clique, or an arbitrary subgraph, and pairs Ai, Aj (i ≠ j) be completely non-adjacent, completely adjacent, or arbitrarily adjacent. This problem is generalized to the list version which specifies for each vertex a list of parts in which the vertex is allowed to be placed. Many well-known graph problems can be formulated as list… CONTINUE READING
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