Embeddings of infinite graphs
β Scribed by Bojan Mohar
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 919 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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## Abstract Current graphs and a theorem of White are used to show the existence of almost complete regular bipartite graphs with quadrilateral embeddings conjectured by Pisanski. Decompositions of __K~n~__ and __K~n, n~__ into graphs with quadrilateral embeddings are discussed, and some thickness
## Abstract We investigate vertexβtransitive graphs that admit planar embeddings having infinite faces, i.e., faces whose boundary is a double ray. In the case of graphs with connectivity exactly 2, we present examples wherein no face is finite. In particular, the planar embeddings of the Cartesian