Regular graphs of girth 5 from elliptic semiplanes of type C
A well-known technique to construct regular graphs with girth 5 is the amalgamation into the incidence graphs Cq and Lq, elliptic semiplanes of type C and L respectively, where q is a prime power. The case q odd has extensively been studied by means of amalgamations into Lq. In this paper we provide...
| Authors: | , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2021 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/162372 |
| Online Access: | https://hdl.handle.net/11441/162372 https://doi.org/10.1016/j.disc.2021.112343 |
| Access Level: | Open access |
| Keyword: | Regular graph Cage Girth Amalgam Elliptic semiplane of type C |
| Summary: | A well-known technique to construct regular graphs with girth 5 is the amalgamation into the incidence graphs Cq and Lq, elliptic semiplanes of type C and L respectively, where q is a prime power. The case q odd has extensively been studied by means of amalgamations into Lq. In this paper we provide new families of small regular graphs of girth 5 constructed by amalgamation into Cq using finite fields of even order. |
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