Asymptotic connectivity of hyperbolic planar graphs
β Scribed by Patrick Bahls; Michael R. Dipasquale
- Book ID
- 108114262
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 261 KB
- Volume
- 310
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
We prove that every planar 3-connected graph has a 2-connected spanning subgraph of maximum valence 15 . We give an example of a planar 3 -connected graph with no spanning 2-connected subgraph of maximum valence five. i) 1994 Academic Press, Inc.
## Abstract In this paper we obtain chromatic polynomials of connected 3β and 4βchromatic planar graphs that are maximal for positive integerβvalued arguments. We also characterize the class of connected 3βchromatic graphs having the maximum number of __p__βcolorings for __p__ β₯ 3, thus extending a