On the chromatic index of multigraphs without large triangles
โ Scribed by Henry A Kierstead
- Book ID
- 107884195
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 232 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For a multigraph G, let D(G) denote maximum degree and set We show that the chromatic index /$(G) is asymptotically max[D(G), 1(G)]. The latter is, by a theorem of Edmonds (1965), the fractional chromatic index of G, and the asymptotics established here are part of a conjecture of the author predic
We improve an upper bound for the chromatic index of a multigraph due to Andersen and Gol'dberg. As a corollary w e deduce that if no t w o edges of multiplicity at least t w o in G are adjacent, then ,y'(G) s A ( G ) + 1. In addition w e generalize results concerning the structure of critical graph