A bibliographic survey of edge-colorings
β Scribed by S. Fiorini
- Book ID
- 102892045
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 680 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
This paper presents a bibliography on edgeβcolorings of graphs which is as complete as possible to date. We introduce the papers by a brief discussion of the ideas involved.
π SIMILAR VOLUMES
## Abstract A proper coloring of the edges of a graph __G__ is called __acyclic__ if there is no 2βcolored cycle in __G__. The __acyclic edge chromatic number__ of __G__, denoted by __aβ²__(__G__), is the least number of colors in an acyclic edge coloring of __G__. For certain graphs __G__, __aβ²__(_
Let x'(G), called the strong coloring number of G, denote the minimum number of colors for which there is a proper edge coloring of a graph G in which no two of its vertices is incident to edges colored with the same set of colors. It is shown that Z'~(G) ~< Fcn], Β½ < c ~ 1, whenever A(G) is appropr