English

On Linkedness of Cartesian Product of Graphs

Combinatorics 2014-07-29 v2

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+b1)(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.

Keywords

Cite

@article{arxiv.1401.7928,
  title  = {On Linkedness of Cartesian Product of Graphs},
  author = {Gabor Meszaros},
  journal= {arXiv preprint arXiv:1401.7928},
  year   = {2014}
}