ALGEBRAIC GRAPH THEORY FOR THE FORMATION OF SUBOPTIMAL CYCLE BASES; AN EFFICIENT FORCE METHOD

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KAVEH A.; RAHAMI H.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING Year:2004 | Volume:28 | Issue:B5 Page(s): 529-536

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Information Journal Paper

Title

ALGEBRAIC GRAPH THEORY FOR THE FORMATION OF SUBOPTIMAL CYCLE BASES; AN EFFICIENT FORCE METHOD

Author(s)

KAVEH A. | RAHAMI H. | Issue Writer Certificate

Keywords

FORCE METHOD

FLEXIBILITY MATRICES

STATICAL BASES

SPARSITY

CYCLE BASES

GRAPH THEORY

SUBOPTIMAL

Abstract

An efficient algorithm is presented for the formation of SUBOPTIMAL CYCLE BASES of graphs corresponding to sparse cycle adjacency matrices, leading to the formation of highly sparse FLEXIBILITY MATRICES. The algorithm presented employs concepts from the algebraic GRAPH THEORY, together with a Greedy type algorithm to select cycles with small overlaps and uses a simple graphtheoretical method for controlling the independence of the selected cycles. Application of the present algorithm is extended to the formation of CYCLE BASES corresponding to well conditioned FLEXIBILITY MATRICES.

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APA: Copy

KAVEH, A., & RAHAMI, H.. (2004). ALGEBRAIC GRAPH THEORY FOR THE FORMATION OF SUBOPTIMAL CYCLE BASES; AN EFFICIENT FORCE METHOD. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, 28(B5), 529-536. SID. https://sid.ir/paper/529974/en

Vancouver: Copy

KAVEH A., RAHAMI H.. ALGEBRAIC GRAPH THEORY FOR THE FORMATION OF SUBOPTIMAL CYCLE BASES; AN EFFICIENT FORCE METHOD. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING[Internet]. 2004;28(B5):529-536. Available from: https://sid.ir/paper/529974/en

IEEE: Copy

A. KAVEH, and H. RAHAMI, “ALGEBRAIC GRAPH THEORY FOR THE FORMATION OF SUBOPTIMAL CYCLE BASES; AN EFFICIENT FORCE METHOD,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, vol. 28, no. B5, pp. 529–536, 2004, [Online]. Available: https://sid.ir/paper/529974/en

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