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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 43
ADVANCES IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper I.2

Cycle Bases of Graphs for Sparse Flexibility Matrices

A. Kaveh* and G.R. Roosta#

*Iran University of Science and Technology, Tehran, Iran
#Building and Housing Research Centre, Tehran, Iran

Full Bibliographic Reference for this paper
A. Kaveh, G.R. Roosta, "Cycle Bases of Graphs for Sparse Flexibility Matrices", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 7-11, 1996. doi:10.4203/ccp.43.1.2
Abstract
An efficient algorithm is presented for the formation of cycle bases of graphs corresponding to sparse cycle-member incidence matrices, leading to the formation of highly sparse flexibility matrices. The algorithm presented employs a new expansion process and uses an efficient graph-theoretical method for controlling the independence of the selected cycles.

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