Covering the edges of a connected graph by paths

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Abstract

We prove that every connected graph on n vertices can be covered by at most n/2 + O(n3/4) paths. This implies that a weak version of a well-known conjecture of Gallai is asymptotically true. © 1996 Academic Press, Inc.

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APA

Pyber, L. (1996). Covering the edges of a connected graph by paths. Journal of Combinatorial Theory. Series B, 66(1), 152–159. https://doi.org/10.1006/jctb.1996.0012

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