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Paper Information

Journal:   ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING)   DECEMBER 2007 , Volume 8 , Number 6; Page(s) 659 To 676.
 
Paper: 

SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS

 
 
Author(s):  KAVEH A.*, LAKNEGADI K., ZAHEDI M.
 
* DEPARTMENT OF CIVIL ENGINEERING, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY, NARMAK, TEHRAN-16, IRAN
 
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.

 
Keyword(s): SYMMETRY DETECTION, COLORING, AXIS OF SYMMETRY, CANONICAL FORMS, GRAPH THEORY
 
 
References: 
 
Click to Cite.
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. https://www.sid.ir/en/journal/ViewPaper.aspx?id=103775



Vancouver: Copy

KAVEH A., LAKNEGADI K., ZAHEDI M.. SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING). 2007 [cited 2021May11];8(6):659-676. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=103775



IEEE: Copy

KAVEH, A., LAKNEGADI, K., ZAHEDI, M., 2007. SYMMETRY DETECTION FOR STRUCTURAL GRAPH MODELS. ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING), [online] 8(6), pp.659-676. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=103775.



 
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