Energies of complements of unitary one-matching bi-Cayley graphs over commutative rings

2021 ◽  
pp. 1-16
Author(s):  
Jinxing Yang ◽  
Xiaogang Liu ◽  
Ligong Wang
Keyword(s):  
Cayley Graphs ◽  
Commutative Rings

Unitary homogeneous bi-Cayley graphs over finite commutative rings

2019 ◽  
Vol 19 (09) ◽  
pp. 2050173
Author(s):  
Xiaogang Liu ◽  
Chengxin Yan
Keyword(s):  
Commutative Ring ◽  
Cayley Graph ◽  
Line Graph ◽  
Cayley Graphs ◽  
Commutative Rings ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Finite Commutative Ring ◽  
Necessary And Sufficient ◽  
Finite Commutative Rings

Let [Formula: see text] denote the unitary homogeneous bi-Cayley graph over a finite commutative ring [Formula: see text]. In this paper, we determine the energy of [Formula: see text] and that of its complement and line graph, and characterize when such graphs are hyperenergetic. We also give a necessary and sufficient condition for [Formula: see text] (respectively, the complement of [Formula: see text], the line graph of [Formula: see text]) to be Ramanujan.

On the generalization of Cayley graphs of commutative rings

2016 ◽  
Vol 58 (2) ◽  
pp. 395-404 ◽  
Author(s):  
M. Afkhami ◽  
K. Hamidizadeh ◽  
K. Khashyarmanesh
Keyword(s):  
Cayley Graphs ◽  
Commutative Rings

scholarly journals Generalized Cayley graphs associated to commutative rings

2012 ◽  
Vol 437 (3) ◽  
pp. 1040-1049 ◽  
Author(s):  
Mojgan Afkhami ◽  
Kazem Khashyarmanesh ◽  
Khosro Nafar
Keyword(s):  
Cayley Graphs ◽  
Commutative Rings

GENERALIZED OF PRIMARY AVOIDANCE THEOREM FOR COMMUTATIVE RINGS

2018 ◽  
Vol 1 (21) ◽  
pp. 415-438
Author(s):  
Amer Shamil Abdulrhman
Keyword(s):  
Commutative Rings ◽  
Primary Ideals

In this paper we study covering ideals by Cosets of primary ideals and we get a generalized the primary avoidance theorem in the rings which it has been

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