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Information Seminar Paper

Title

SOME CRITERIA FOR GRAPHS TO BE ANNIHILATING-IDEAL GRAPHS

Author(s)

 SHAVEISI FARZAD

Pages

  -

Abstract

 THE ANNIHILATING-IDEAL GRAPH OF A COMMUTATIVE RINGR, DENOTED BY AG (R), IS A GRAPH WHOSE VERTEX SET CONSISTS OF ALL NON-ZERO ANNIHILATING IDEALS AND TWO DISTINCT VERTICES ARE ADJACENT IF AND ONLY IF THEIR PRODUCT IS ZERO. HERE, SOME CRITERIA FOR A GRAPH TO BE ISOMORPHIC WITH AN ANNIHILATING-IDEAL GRAPH OF A RING, IS GIVEN. ANNIHILATING-IDEAL GRAPHS WHICH ARE TREES ARE SPECIFIED. SOME RESULTS ABOUT THE VERTICES WITH MAXIMUM DEGREE ARE STATED, TOO. FINALLY, IT IS SHOWN THAT THE INDUCED SUBGRAPH OF AG(R) ON VERTICES WITH MAXIMUM DEGREE IS EITHER COMPLETE OR A DISCRETE GRAPH.

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    • Cite

    APA: Copy

    SHAVEISI, FARZAD. (2016). SOME CRITERIA FOR GRAPHS TO BE ANNIHILATING-IDEAL GRAPHS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938751/en

    Vancouver: Copy

    SHAVEISI FARZAD. SOME CRITERIA FOR GRAPHS TO BE ANNIHILATING-IDEAL GRAPHS. 2016. Available from: https://sid.ir/paper/938751/en

    IEEE: Copy

    FARZAD SHAVEISI, “SOME CRITERIA FOR GRAPHS TO BE ANNIHILATING-IDEAL GRAPHS,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938751/en

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