Applied Mathematics & Information Sciences

Author Country (or Countries)



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. An Absorption Cayley graph denoted by W(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 = a for some b ∈ Zn,b 6= a}. 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, hamiltoniacity, diameter, planarity, girth, regularity etc.

Digital Object Identifier (DOI)