Elsevier

Discrete Mathematics

Volume 91, Issue 2, 28 August 1991, Pages 215-217
Discrete Mathematics

Note
Triangle-free regular graphs

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Abstract

Answering a problem of Erdős it is proved that for every n ≠ 3, 7, 9 there exists a regular graph on n vertices with no triangles where the independence number is equal to the degree.

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