Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647344 | Discrete Mathematics | 2014 | 9 Pages |
Abstract
In 1976, F. Loupekine created a method for constructing new snarks from already known ones. In the present work, we consider an infinite family of Loupekine snarks constructed from the Petersen Graph and verify Fulkerson’s Conjecture for this family. In addition, we show that the technique used in the proof can be applied to families constructed from snarks other than the Petersen Graph. As an example, we extend the main result to Loupekine snarks constructed from the generalised Blanuša snarks.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Kaio Karam, C.N. Campos,