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arXiv · 1705.10254

An Erdős-Gallai-type theorem for keyrings

Alexander Sidorenko
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Abstract

A keyring is a graph obtained by appending $r \geq 1$ leaves to one of the vertices of a cycle. We prove that for every $r \leq (k-1)/2$, any graph with average degree more than $k-1$ contains a keyring with $r$ leaves and at least $k$ edges.

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Alexander Sidorenko. 2018-04-19. An Erdős-Gallai-type theorem for keyrings. https://doi.org/10.1007/s00373-018-1901-0

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