## Abstract Let __G__ be a graph embedded in the Klein bottle with βrepresentativityβ at least four. We give a formula for the orientable genus of __G__, which also implies a polynomially bounded algorithm. The formula is in terms of the number of times certain closed curves on the Klein bottle int
β¦ LIBER β¦
The genus distributions of directed antiladders in orientable surfaces
β Scribed by Rongxia Hao; Yanpei Liu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 234 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
Although there are some results concerning genus distributions of graphs, little is known about those of digraphs. In this work, the genus distributions of 4-regular directed antiladders in orientable surfaces are obtained.
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