Separation of Cartesian Products of Graphs Into Several Connected Components by the Removal of Vertices

A set S ⊆ V (G) is a vertex k-cut in a graph G = (V (G), E(G)) if G − S has at least k connected components. The k-connectivity of G, denoted as κk(G), is the minimum cardinality of a vertex k-cut in G. We give several constructions of a set S such that (G□H) − S has at least three connected compone...

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Bibliographic Details
Main Authors: Erker Tjaša Paj, Špacapan Simon
Format: Article
Language:English
Published: University of Zielona Góra 2022-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2315