Research articles
ScienceAsia (): 649-652 |doi:
10.2306/scienceasia1513-1874...649
Eigenvalues and energy of restricted unitary Cayley graphs induced from the square mapping
Yotsanan Meemark, Borworn Suntornpoch*
ABSTRACT: Let R be a finite commutative ring with unity 1≠0. The restricted unitary Cayley graph induced from the squared mapping is the graph whose vertex set is R and whose edge set is {{a,b}:a,b∈R and a−b∈TR}, where TR=KR(R×)2 and KR={a∈R×:a2=1}. We study the structure of our graph HR and determine its eigenvalues and energy.
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| Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330 Thailand |
* Corresponding author, E-mail: beyond.my.limit@gmail.com
Received 7 Feb 2013, Accepted 16 May 2013
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