OPTIMAL ANALYSIS OF NON-REGULAR GRAPHS USING THE RESULTS OF REGULAR MODELS VIA AN ITERATIVE METHOD

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RAHAMI H.; KAVEH A.; MEHANPOUR H.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF OPTIMIZATION IN CIVIL ENGINEERING Year:2013 | Volume:3 | Issue:3 Page(s): 445-463

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Title

OPTIMAL ANALYSIS OF NON-REGULAR GRAPHS USING THE RESULTS OF REGULAR MODELS VIA AN ITERATIVE METHOD

Author(s)

RAHAMI H. | KAVEH A. | MEHANPOUR H. | Issue Writer Certificate

Keywords

REGULAR GRAPHS

PRODUCT GRAPHS

NON-REGULAR GRAPHS

DECOMPOSITION

ITERATION METHOD

Abstract

In this paper an efficient method is developed for the analysis of non-REGULAR GRAPHS which contain regular submodels. A model is called regular if it can be expressed as the product of two or three subgraphs. Efficient DECOMPOSITION methods are available in the literature for the analysis of some classes of regular models.In the present method, for a non-regular model, first the nodes of the non-regular part of such model are ordered followed by ordering the nodes of the regular part. With this ordering the graph matrices will be separated into two blocks. The eigensolution of the non-regular part can be performed by an iterative method, and those of the regular part can easily be calculated using DECOMPOSITION approaches studied in our previous articles. Some numerical examples are included to illustrate the efficiency of the new method.

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APA: Copy

RAHAMI, H., KAVEH, A., & MEHANPOUR, H.. (2013). OPTIMAL ANALYSIS OF NON-REGULAR GRAPHS USING THE RESULTS OF REGULAR MODELS VIA AN ITERATIVE METHOD. INTERNATIONAL JOURNAL OF OPTIMIZATION IN CIVIL ENGINEERING, 3(3), 445-463. SID. https://sid.ir/paper/329379/en

Vancouver: Copy

RAHAMI H., KAVEH A., MEHANPOUR H.. OPTIMAL ANALYSIS OF NON-REGULAR GRAPHS USING THE RESULTS OF REGULAR MODELS VIA AN ITERATIVE METHOD. INTERNATIONAL JOURNAL OF OPTIMIZATION IN CIVIL ENGINEERING[Internet]. 2013;3(3):445-463. Available from: https://sid.ir/paper/329379/en

IEEE: Copy

H. RAHAMI, A. KAVEH, and H. MEHANPOUR, “OPTIMAL ANALYSIS OF NON-REGULAR GRAPHS USING THE RESULTS OF REGULAR MODELS VIA AN ITERATIVE METHOD,” INTERNATIONAL JOURNAL OF OPTIMIZATION IN CIVIL ENGINEERING, vol. 3, no. 3, pp. 445–463, 2013, [Online]. Available: https://sid.ir/paper/329379/en

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