Edge coloring regular graphs of high degree
β Scribed by L Perkovic; B Reed
- Book ID
- 108316080
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 738 KB
- Volume
- 165-166
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## 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
An edge-face coloring of a plane graph with edge set E and face set F is a coloring of the elements of E βͺF so that adjacent or incident elements receive different colors. Borodin [Discrete Math 128(1-3): [21][22][23][24][25][26][27][28][29][30][31][32][33] 1994] proved that every plane graph of max