Path connectivity of line graphs

preprint2016arXivOpen access

Abstract

Dirac showed that in a (k−1)(k-1)-connected graph there is a path through each kk vertices. The path kk-connectivity πk(G)π_k(G) of a graph GG, which is a generalization of Dirac's notion, was introduced by Hager in 1986. In this paper, we study path connectivity of line graphs.

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