New Approximation Algorithms for Minimum Cycle Bases of Graphs
β Scribed by Telikepalli Kavitha; Kurt Mehlhorn; Dimitrios Michail
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 517 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0178-4617
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## 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
An ecient algorithm is presented for the formation of cycle bases of graphs corresponding to sparse cyclemember incidence matrices, leading to the formation of highly sparse Β―exibility matrices. The algorithm presented employs a new expansion process and uses an ecient graph-theoretical method for c