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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 10 > No. 6

 
   

Structural Properties of Absorption Cayley Graphs

PP: 2237-2245
doi:10.18576/amis/100626
Author(s)
Deepa Sinha, Deepakshi Sharma,
Abstract
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.

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