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Information Seminar Paper

Title

THE DIAMETER OF POWER GRAPHS OF SYMMETRIC GROUPS

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Abstract

 THE POWER GRAPH P (G) OF A GROUP G IS A SIMPLE GRAPH WHOSE VERTEX-SET IS G AND TWO VERTICES X AND Y IN G ARE ADJACENT IF AND ONLY IF Y=XM OR X=YM FOR SOME POSITIVE INTEGER M. THE PROPER POWER GRAPH OF G DENOTED BY P∗(G) IS A GRAPH WHICH IS OBTAINED BY DELETING THE VERTEX 1 (THE IDENTITY ELEMENT OF G).IT IS PROVED THAT IF N ≥ 9 AND NEITHER N NOR N−1 IS A PRIME, THEN P∗(SN) IS CONNECTED. IN THIS PAPER, WE PROVE THAT IF N ≥ 18 AND NEITHER N NOR N − 1 IS A PRIME, THEN D (P∗(SN)) ≤ 10.

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    • Cite

    APA: Copy

    Pourghobadi, K., & JAFARI, S.H.. (2016). THE DIAMETER OF POWER GRAPHS OF SYMMETRIC GROUPS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/947534/en

    Vancouver: Copy

    Pourghobadi K., JAFARI S.H.. THE DIAMETER OF POWER GRAPHS OF SYMMETRIC GROUPS. 2016. Available from: https://sid.ir/paper/947534/en

    IEEE: Copy

    K. Pourghobadi, and S.H. JAFARI, “THE DIAMETER OF POWER GRAPHS OF SYMMETRIC GROUPS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/947534/en

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