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Skew partition : ウィキペディア英語版
Skew partition

In graph theory, a skew partition of a graph is a partition of its vertices into two subsets, such that the induced subgraph formed by one of the two subsets is disconnected and the induced subgraph formed by the other subset is the complement of a disconnected graph. Skew partitions play an important role in the theory of perfect graphs.
==Definition==
A skew partition of a graph G is a partition of its vertices into two subsets X and Y for which the induced subgraph G() is disconnected and the induced subgraph G() is the complement of a disconnected graph (co-disconnected).
Equivalently, a skew partition of a graph G may be described by a partition of the vertices of G into four subsets A, B, C, and D, such that there are no edges from A to B and such that all possible edges from C to D exist; for such a partition, the induced subgraphs G(B ) and G(D ) are disconnected and co-disconnected respectively, so we may take X=A\cup B and Y=C\cup D.

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