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    A New Method for Detection of Graph Isomorphism Based on the Quadratic Form

    Source: Journal of Mechanical Design:;2003:;volume( 125 ):;issue: 003::page 640
    Author:
    P. R. He
    ,
    Q. Li
    ,
    F. X. Wu
    ,
    W. J. Zhang
    DOI: 10.1115/1.1564574
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper proposes a new method for detection of graph isomorphism using the concept of quadratic form. Graphs/kinematic chains are represented first by quadratic form, and the comparison of two graphs is thus reduced to the comparison of two quadratic form expressions. If both the lengths and the directions of the semiaxes of quadric surfaces, which are characterized by the eigenvalues and eigenvectors, are the same, the associated graphs/kinematic chains are isomorphic. An algorithm is developed based on this idea, and tested for the counter-examples known to other methods.
    keyword(s): Algorithms , Chain AND Eigenvalues ,
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      A New Method for Detection of Graph Isomorphism Based on the Quadratic Form

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    http://yetl.yabesh.ir/yetl1/handle/yetl/128796
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    contributor authorP. R. He
    contributor authorQ. Li
    contributor authorF. X. Wu
    contributor authorW. J. Zhang
    date accessioned2017-05-09T00:10:55Z
    date available2017-05-09T00:10:55Z
    date copyrightSeptember, 2003
    date issued2003
    identifier issn1050-0472
    identifier otherJMDEDB-27757#640_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/128796
    description abstractThis paper proposes a new method for detection of graph isomorphism using the concept of quadratic form. Graphs/kinematic chains are represented first by quadratic form, and the comparison of two graphs is thus reduced to the comparison of two quadratic form expressions. If both the lengths and the directions of the semiaxes of quadric surfaces, which are characterized by the eigenvalues and eigenvectors, are the same, the associated graphs/kinematic chains are isomorphic. An algorithm is developed based on this idea, and tested for the counter-examples known to other methods.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA New Method for Detection of Graph Isomorphism Based on the Quadratic Form
    typeJournal Paper
    journal volume125
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.1564574
    journal fristpage640
    journal lastpage642
    identifier eissn1528-9001
    keywordsAlgorithms
    keywordsChain AND Eigenvalues
    treeJournal of Mechanical Design:;2003:;volume( 125 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian