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Regular version of the site

Book chapter

Pq-König Extended Forests and Cycles

P. 86-95.

A graph is König for a q-path if every its induced subgraph has the following property. The maximum number of pairwise vertex-disjoint induced paths each on q vertices is equal to the minimum number of vertices, such that removing all the vertices produces a graph having no an induced path on q vertices. In this paper, for every q>4, we describe all Konig graphs for a q-path obtained from forests and simple sycles by replacing some vertices into graphs not containing induced paths on q vertices.

In book

Edited by: A. Kononov, I. Bykadorov, O. Khamisov et al. Vol. 1623. CEUR Workshop Proceedings, 2016.