## Abstract In this Note it is proved that every connected, locally connected graph is upper embeddable. Moreover, a lower bound for the maximum genus of the square of a connected graph is given.
A class of upper-embeddable graphs
✍ Scribed by F. Jaeger; C. Payan; N. H. Xuong
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 202 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
In this paper, we prove the following result: Every graph obtained by connecting (with any number of edges) two vertex‐disjoint upper‐embeddable graphs graphs with even Betti number is upper‐embeddable.
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