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Research articles

ScienceAsia 39(2013): 649-652 |doi: 10.2306/scienceasia1513-1874.2013.39.649

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,bR and abTR}, where TR=KR(R×)2 and KR={aR×: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