Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423674 | Electronic Notes in Discrete Mathematics | 2016 | 6 Pages |
Abstract
A (k,g)-cage is a k-regular graph of girth g of minimum order. In this work, we focus on girth g=5, where cages are known only for degrees kâ¤7. When kâ¥8, except perhaps for k=57, the order of a (k,5)-cage is strictly greater than 1+k2. Considering the relationship between finite geometries and graphs we establish upper constructive bounds that improve the best so far.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
E. Abajo, G. Araujo-Pardo, C. Balbuena, M. Bendala,