It is proved that if G is a planar graph with total (vertex-edge) chromatic number Ο , maximum degree and girth g, then Ο = + 1 if β₯ 5 and g β₯ 5, or β₯ 4 and g β₯ 6, or β₯ 3 and g β₯ 10. These results hold also for graphs in the projective plane, torus and Klein bottle.
β¦ LIBER β¦
Graphs of Large Girth with Prescribed Partial Circular Colourings
β Scribed by Zhishi Pan; Xuding Zhu
- Book ID
- 106047538
- Publisher
- Springer Japan
- Year
- 2005
- Tongue
- English
- Weight
- 399 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0911-0119
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