Vertex-Distinguishing Edge Colorings of Graphs with Degree Sum Conditions
β Scribed by Bin Liu; Guizhen Liu
- Publisher
- Springer Japan
- Year
- 2010
- Tongue
- English
- Weight
- 183 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Aigner et al., proved that for the irregular coloring number c(G) of a simple 2-regular graph of order n the inequality c(G) < v'& + 0( 1) holds. Here it is shown that c(G) < & + 0( 1).
We prove the conjecture of Burris and Schelp: a coloring of the edges of a graph of order n such that a vertex is not incident with two edges of the same color and any two vertices are incident with different sets of colors is possible using at most n+1 colors. 1999 Academic Press ## 1. Introducti
## Abstract An __acyclic__ edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The __acyclic chromatic index__ of a graph is the minimum number __k__ such that there is an acyclic edge coloring using __k__ colors and is denoted by __a__β²(__G__). It was conj