A Halin graph is a plane graph H = T U C, where T is a plane tree with no vertex of degree t w o and at least one vertex of degree three or more, and C is a cycle connecting the endvertices of T in the cyclic order determined by the embedding of T We prove that such a graph on n vertices contains cy
Minimum cycle bases of Halin graphs
β Scribed by Peter F. Stadler
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 90 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
Abstract
Halin graphs are planar 3βconnected graphs that consist of a tree and a cycle connecting the end vertices of the tree. It is shown that all Halin graphs that are not βnecklacesβ have a unique minimum cycle basis. Β© 2003 Wiley Periodicals, Inc. J Graph Theory 43: 150β155, 2003
π SIMILAR VOLUMES
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