## Abstract Let __G__ be a graph embedded in the Klein bottle with “representativity” 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
Computing the orientable genus of projective graphs
✍ Scribed by J. R. Fiedler; J. P. Huneke; R. B. Richter; N. Robertson
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 603 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The orientable genus is determined for any graph that embeds into the projective plane, Σ, to be essentially half of the representativity of any embedding into Σ. In addition, a structure is given for any 3‐connected projective planar graph as the union of a spanning planar graph and a variation of a Möbius Ladder. © 1995 John Wiley & Sons, Inc.
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