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Structural Properties of Absorption Cayley Graphs |
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PP: 2237-2245 |
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doi:10.18576/amis/100626
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Author(s) |
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Deepa Sinha,
Deepakshi Sharma,
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Abstract |
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| 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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