E-resources
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Deepa Sinha; Deepakshi Sharma
Electronic notes in discrete mathematics, September 2016, 2016-09-00, Volume: 53Journal Article
Let R be a commutative ring with two binary operators addition (+) and multiplication (.). Then Zn is a ring of integers modulo n, where n is a positive integer. A Absorption Cayley graph denoted by Ω(Zn) is a graph whose vertex set is Zn, the integer modulo n and edge set E={ab:a+b∈S}, where S={a∈Zn:ab=ba=afor anyb∈Zn,b≠a,b≠1}. Here ab=a is the absorption property as b is absorbed in a. We study the characterization of Absorption cayley graphs along with its properties such as connectedness, degree, diameter, planarity, girth, regularity.
