Maximum Independent Sets in Direct Products of Cycles or Trees with Arbitrary Graphs

The direct product of graphs G = (V (G),E(G)) and H = (V (H),E(H)) is the graph, denoted as G×H, with vertex set V (G×H) = V (G)×V (H), where vertices (x1, y1) and (x2, y2) are adjacent in G × H if x1x2 ∈ E(G) and y1y2 ∈ E(H). Let n be odd and m even. We prove that every maximum independent set in P...

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Bibliographic Details
Main Authors: Paj Tjaša, Špacapan Simon
Format: Article
Language:English
Published: Sciendo 2015-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1837