|
|||||
|
|
Energy of unitary Cayley graphs and gcd-graphs |
|
| Authors: | Dariush Kiani Mohsen Molla Haji Aghaei Borworn Suntornpoch |
| Institution: | a Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran 15914, Iran b School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran c Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand |
| Abstract: | This work is based on ideas of Ili? A. Ili?, The energy of unitary Cayley graphs, Linear Algebra Appl. 431 (2009) 1881-1889] on the energy of unitary Cayley graph. For a finite commutative ring R with unity  , the unitary Cayley graph of R is the Cayley graph whose vertex set is R and the edge set is {{a,b}:a,b∈Randa-b∈R×}, where R× is the group of units of R. We study the eigenvalues of the unitary Cayley graph of a finite commutative ring and some gcd-graphs and compute their energy. Moreover, we obtain the energy for the complement of unitary Cayley graphs. |
| Keywords: | 05C50 05C25 |
| 本文献已被 ScienceDirect 等数据库收录！ | |