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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
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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