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[HTML][HTML] Minimal obstructions to 2-polar cographs
A graph is a cograph if it is P 4-free. A k-polar partition of a graph G is a partition of the set of
vertices of H into parts A and B such that the subgraph induced by A is a complete …
vertices of H into parts A and B such that the subgraph induced by A is a complete …
[HTML][HTML] Minimal obstructions to (s, 1)-polarity in cographs
Let s, k be non negative integers. A graph G is (s, k)-polar if its vertex set admits a partition
(A, B) such that A induces a complete multipartite graph with at most s parts, and B induces a …
(A, B) such that A induces a complete multipartite graph with at most s parts, and B induces a …
Minimal Obstructions for Polarity, Monopolarity, Unipolarity and (s, 1)-Polarity in Generalizations of Cographs
It is known that every hereditary property can be characterized by finitely many minimal
obstructions when restricted to either the class of cographs or the class of P 4-reducible …
obstructions when restricted to either the class of cographs or the class of P 4-reducible …
Minimal obstructions to (∞, k)-polarity in cographs
A graph is a cograph if it does not contain a 4-vertex path as an induced subgraph. An (s, k)-
polar partition of a graph G is a partition (A, B) of its vertex set such that A induces a …
polar partition of a graph G is a partition (A, B) of its vertex set such that A induces a …