On König graphs with respect to P4


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Resumo

We describe the class of graphs whose every induced subgraph has the property: The maximum number of disjoint induced 4-paths is equal to the minimum size of the set of the vertices such that each 4-path contains at least one of them. The description is based on the operation of replacing vertices by cographs which is to the vertices of the graphs obtained from bipartite graphs by subdividing their cycle edges.

Sobre autores

D. Mokeev

Lobachevsky Nizhny Novgorod State University; National Research University Higher School of Economics

Autor responsável pela correspondência
Email: MokeevDB@gmail.com
Rússia, pr. Gagarina 23, Nizhny Novgorod, 603950; ul. Bol’shaya Pecherskaya 25/12, Nizhny Novgorod, 603155


Declaração de direitos autorais © Pleiades Publishing, Ltd., 2017

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