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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sg-ntu-dr.10356-1064372023-02-28T19:22:46Z Edge-regular graphs with regular cliques Greaves, Gary Royden Watson Koolen, Jack H. School of Physical and Mathematical Sciences Edge-regular Graphs Regular Cliques DRNTU::Science::Mathematics 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. MOE (Min. of Education, S’pore) Accepted version 2019-03-28T06:18:45Z 2019-12-06T22:11:44Z 2019-03-28T06:18:45Z 2019-12-06T22:11:44Z 2018 Journal Article Greaves, G. R. W., & Koolen, J. H. (2018). Edge-regular graphs with regular cliques. European Journal of Combinatorics, 71, 194-201. doi:10.1016/j.ejc.2018.04.004 0195-6698 https://hdl.handle.net/10356/106437 http://hdl.handle.net/10220/47919 10.1016/j.ejc.2018.04.004 en European Journal of Combinatorics © 2018 Elsevier Ltd. All rights reserved. This paper was published in European Journal of Combinatorics and is made available with permission of Elsevier Ltd. 13 p. application/pdf |
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Edge-regular Graphs Regular Cliques DRNTU::Science::Mathematics |
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Edge-regular Graphs Regular Cliques DRNTU::Science::Mathematics Greaves, Gary Royden Watson Koolen, Jack H. Edge-regular graphs with regular cliques |
| description |
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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Greaves, Gary Royden Watson Koolen, Jack H. |
| format |
Article |
| author |
Greaves, Gary Royden Watson Koolen, Jack H. |
| author_sort |
Greaves, Gary Royden Watson |
| title |
Edge-regular graphs with regular cliques |
| title_short |
Edge-regular graphs with regular cliques |
| title_full |
Edge-regular graphs with regular cliques |
| title_fullStr |
Edge-regular graphs with regular cliques |
| title_full_unstemmed |
Edge-regular graphs with regular cliques |
| title_sort |
edge-regular graphs with regular cliques |
| publishDate |
2019 |
| url |
https://hdl.handle.net/10356/106437 http://hdl.handle.net/10220/47919 |
| _version_ |
1759854596105175040 |