On Linkedness of Cartesian Product of Graphs

preprint2014arXivOpen access

Abstract

We study linkedness of Cartesian product of graphs and prove that the product of an aa-linked and a bb-linked graphs is (a+b−1)(a+b-1)-linked if the graphs are sufficiently large. Further bounds in terms of connectivity are shown. We determine linkedness of product of paths and product of cycles.

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