## Abstract Two methods are presented for the automatic selection of a cycle basis leading to a sparse flexibility matrix for the analysis of rigidβjointed skeletal structures. The first method having a local approach forms a maximal set of admissible minimal cycles, while the second having a glob
Cycle bases of graphs for sparse flexibility matrices
β Scribed by A. Kaveh; G.R. Roosta
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 200 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0045-7949
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β¦ Synopsis
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 controlling the independence of the selected cycles.
π SIMILAR VOLUMES
## 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