A REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF A FINITE RING
نویسندگان
چکیده
منابع مشابه
ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS
Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$ is a unit of $R$. In this paper, basic properties of $Gamma(R)$ are studied. We investigate connectivity and the girth of $Gamma(R)$, where $...
متن کاملOn the Unitary Cayley Graph of a Finite Ring
We study the unitary Cayley graph associated to an arbitrary finite ring, determining precisely its diameter, girth, eigenvalues, vertex and edge connectivity, and vertex and edge chromatic number. We also compute its automorphism group, settling a question of Klotz and Sander. In addition, we classify all planar graphs and perfect graphs within this class.
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Computing Wiener and hyper–Wiener indices of unitary Cayley graphs
The unitary Cayley graph Xn has vertex set Zn = {0, 1,…, n-1} and vertices u and v are adjacent, if gcd(uv, n) = 1. In [A. Ilić, The energy of unitary Cayley graphs, Linear Algebra Appl. 431 (2009) 1881–1889], the energy of unitary Cayley graphs is computed. In this paper the Wiener and hyperWiener index of Xn is computed.
متن کاملwuthering heights and the concept of marality/a sociological study of the novel
to discuss my point, i have collected quite a number of articles, anthologies, and books about "wuthering heights" applying various ideas and theories to this fantastic story. hence, i have come to believe that gadamer and jauss are rightful when they claim that "the individaul human mind is the center and origin of all meaning," 3 that reading literature is a reader-oriented activity, that it ...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2016
ISSN: 1015-8634
DOI: 10.4134/bkms.b150601