Acyclic edge coloring of subcubic graphs
✍ Scribed by Manu Basavaraju; L. Sunil Chandran
- Book ID
- 108113980
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 271 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
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## Abstract A proper coloring of the edges of a graph __G__ is called __acyclic__ if there is no 2‐colored cycle in __G__. The __acyclic edge chromatic number__ of __G__, denoted by __a′__(__G__), is the least number of colors in an acyclic edge coloring of __G__. For certain graphs __G__, __a′__(_
## 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__′(__G__). A graph is
An __acyclic edge‐coloring__ of a graph is a proper edge‐coloring such that the subgraph induced by the edges of any two colors is acyclic. The __acyclic chromatic index__ of a graph __G__ is the smallest number of colors in an acyclic edge‐coloring of __G__. We prove that the acyclic chromatic inde