SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS

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KAVEH A.; LAKNEGADI K.; ZAHEDI M.

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

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Paper Information

Journal: ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING) Year:2007 | Volume:8 | Issue:6 Page(s): 659-676

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Information Journal Paper

Title

SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS

Author(s)

KAVEH A. | LAKNEGADI K. | ZAHEDI M. | Issue Writer Certificate

Keywords

SYMMETRY DETECTION

COLORING

AXIS OF SYMMETRY

CANONICAL FORMS

GRAPH THEORY

Abstract

In recent years special methods have been presented for eigensolution of symmetric structures. Therefore, an automatic approach for detecting the symmetry axis and/or planes was inevitable. In this paper a simple automatic approach is developed for SYMMETRY DETECTION in structural graph models. This is achieved by a special COLORING of graph utilizing the dominant eigenvector of a special matrix known as the inner-product matrix, and imposing some constraints. Combining the present method and some CANONICAL FORMS, an efficient tool is obtained for graph factorization. The efficiency of the present method is illustrated through some examples.

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APA: Copy

KAVEH, A., LAKNEGADI, K., & ZAHEDI, M.. (2007). SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING), 8(6), 659-676. SID. https://sid.ir/paper/298760/en

Vancouver: Copy

KAVEH A., LAKNEGADI K., ZAHEDI M.. SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING)[Internet]. 2007;8(6):659-676. Available from: https://sid.ir/paper/298760/en

IEEE: Copy

A. KAVEH, K. LAKNEGADI, and M. ZAHEDI, “SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS,” ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING), vol. 8, no. 6, pp. 659–676, 2007, [Online]. Available: https://sid.ir/paper/298760/en

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