Edge-regular graphs with regular cliques

We exhibit infinitely many examples of edge-regular graphs that have regular cliques and that are not strongly regular. This answers a question of Neumaier from 1981.

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Bibliographic Details
Published in:European journal of combinatorics 2018-06, Vol.71, p.194-201
Main Authors: Greaves, Gary R.W., Koolen, Jack H.
Format: Article
Language:English
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Summary:We exhibit infinitely many examples of edge-regular graphs that have regular cliques and that are not strongly regular. This answers a question of Neumaier from 1981.
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2018.04.004