A sublinear bound on the chromatic index of multigraphs
โ Scribed by Michael Plantholt
- Book ID
- 108316317
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 894 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that coloring the edges of a multigraph G in a particular order often leads to improved upper bounds for the chromatic index ฯ (G). Applying this to simple graphs, we significantly generalize recent conditions based on the core of G (i.e., the subgraph of G induced by the vertices of degree
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