| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8903515 | Electronic Notes in Discrete Mathematics | 2017 | 6 Pages |
Abstract
In order to investigate the relationship between snarks and the total colouring, in this paper, we contribute to the work of Brinkmann et al. [J. Comb. Theory Ser. B, 103 (2013) pp. 468-478.] by constructing new Type 2 snarks with girth 4, that can be obtained from dot products of Type 1 snarks. Furthermore, we show that the snarks found by Brinkmann et al. cannot be decomposed in a dot product of two Type 1 snarks.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
L. Cordeiro, S. Dantas, D. Sasaki,