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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/162372 |
| Acceso en línea: | https://hdl.handle.net/11441/162372 https://doi.org/10.1016/j.disc.2021.112343 |
| Access Level: | acceso abierto |
| Palabra clave: | Regular graph Cage Girth Amalgam Elliptic semiplane of type C |
| Sumario: | 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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