On edge colorings of 1-planar graphs without adjacent triangles
β Scribed by Xin Zhang; Guizhen Liu
- Book ID
- 113663281
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 140 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0020-0190
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## Abstract We show some consequences of results of Gallai concerning edge colorings of complete graphs that contain no tricolored triangles. We prove two conjectures of Bialostocki and Voxman about the existence of special monochromatic spanning trees in such colorings. We also determine the size
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 conjectured by Al