The necessity of non-Abelian groups in the case 0 of the heawood map-coloring theorem
β Scribed by Heidi Mahnke
- Book ID
- 107884000
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 156 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0095-8956
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## Abstract In 1890, Heawood established the upper bound $H ( \varepsilon )= \left \lfloor 7+\sqrt {24\varepsilon +1}/{2}\right \rfloor$ on the chromatic number of every graph embedded on a surface of Euler genus Ξ΅ β₯ 1. Almost 80 years later, the bound was shown to be tight by Ringel and Youngs. Th
## Nature of physical problem Computations of Feynman diagrams in non-Abelian gauge field theories involves the group-theoretic weight computation. The present program implements the Cvitanovic algorithm [2] of computation of the group-theoretic weight for SU( n) and SO(n). ## Restriction on the