Exact values of ex(v; {C-3, C-4, ... , C-n})
For integers n ≥ 4 and ν ≥ n+1, let ex(ν; {C3, C4, . . . , Cn}) denote the maximum number of edges in a graph with ν vertices and girth at least n + 1. In this paper we have obtained bounds on this function for n ∈ {5, 6, 7} and, in several cases, even the exact value. We have also developed a greed...
| Authors: | , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2010 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/163487 |
| Online Access: | https://hdl.handle.net/11441/163487 https://doi.org/10.1016/j.dam.2010.08.002 |
| Access Level: | Open access |
| Keyword: | Extremal graphs Girth Cages |
| Summary: | For integers n ≥ 4 and ν ≥ n+1, let ex(ν; {C3, C4, . . . , Cn}) denote the maximum number of edges in a graph with ν vertices and girth at least n + 1. In this paper we have obtained bounds on this function for n ∈ {5, 6, 7} and, in several cases, even the exact value. We have also developed a greedy algorithm for generating graphs with large size for given order and girth. |
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