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https://hdl.handle.net/10356/137229| Title: | Another construction of edge-regular graphs with regular cliques | Authors: | Greaves, Gary Royden Watson Koolen J.H. |
Keywords: | Science::Mathematics | Issue Date: | 2018 | Source: | Greaves, G. R. W., & Koolen, J. H. (2018). Another construction of edge-regular graphs with regular cliques. Discrete Mathematics, 342(10), 2818-2820. doi:10.1016/j.disc.2018.09.032 | Journal: | Discrete Mathematics | Abstract: | We exhibit a new construction of edge-regular graphs with regular cliques that are not strongly regular. The infinite family of graphs resulting from this construction includes an edge-regular graph with parameters (24,8,2). We also show that edge-regular graphs with 1-regular cliques that are not strongly regular must have at least 24 vertices. | URI: | https://hdl.handle.net/10356/137229 | ISSN: | 0012-365X | DOI: | 10.1016/j.disc.2018.09.032 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2018 Elsevier B.V. All rights reserved. This paper was published in Discrete Mathematics and is made available with permission of Elsevier B.V. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Another construction of edge-regular graphs with regular cliques.pdf | 87.42 kB | Adobe PDF |  View/Open |
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