• شماره ركورد كنفرانس
    5440
  • عنوان مقاله

    Distance spectral of the unitary Cayley graphs of commutative rings

  • پديدآورندگان

    BARATI Z. za.barati87@gmail.com Faculty of Sciences, Kosar University of Bojnord , AFKHAMI M. mojgan.afkhami@yahoo.com Faculty of Sciences, University of Neyshabur,

  • تعداد صفحه
    4
  • كليدواژه
    Cayley graph‌ , Distance spectrum , Distance Laplacian spectrum , ‌‌ Distance signless Laplacian spectrum.
  • سال انتشار
    1400
  • عنوان كنفرانس
    بيست و هفتمين سمينار جبر ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    ‎Let $R$ be a commutative ring with unity $1neq 0$ and let $R^{times}$ be the set of ‎ all unit elements of $R$‎. ‎ ## ‎The unitary Cayley graph of $R$‎, ‎denoted by $G_R=text{Cay}(R,R^{times})$‎, ‎ ‎is a simple graph whose vertex set is $R$ and there is an edge between‎ two distinct vertices $x$ and $y$ if and only if $x-y in R^{times}$‎. ‎ ‎##This paper involves determining‎‎‎ ‎the distance‎, ‎distance Laplacian and‎ ‎distance signless Laplacian spectrum of the unitary Cayley graphs with diameter at most $2$‎.
  • كشور
    ايران