An Interesting Property of a Class of Circulant Graphs
Joint Authors
Zafari, Ali
Mirafzal, Seyed Morteza
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-27
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
Suppose that Π=Cay(Zn,Ω) and Λ=Cay(Zn,Ψm) are two Cayley graphs on the cyclic additive group Zn, where n is an even integer, m=n/2+1, Ω=t∈Zn∣t is odd, and Ψm=Ω∪{n/2} are the inverse-closed subsets of Zn-0.
In this paper, it is shown that Π is a distance-transitive graph, and, by this fact, we determine the adjacency matrix spectrum of Π.
Finally, we show that if n≥8 and n/2 is an even integer, then the adjacency matrix spectrum of Λ is n/2+11, 1-n/21, 1n-4/2, -1n/2 (we write multiplicities as exponents).
American Psychological Association (APA)
Mirafzal, Seyed Morteza& Zafari, Ali. 2017. An Interesting Property of a Class of Circulant Graphs. Journal of Mathematics،Vol. 2017, no. 2017, pp.1-4.
https://search.emarefa.net/detail/BIM-1182381
Modern Language Association (MLA)
Mirafzal, Seyed Morteza& Zafari, Ali. An Interesting Property of a Class of Circulant Graphs. Journal of Mathematics No. 2017 (2017), pp.1-4.
https://search.emarefa.net/detail/BIM-1182381
American Medical Association (AMA)
Mirafzal, Seyed Morteza& Zafari, Ali. An Interesting Property of a Class of Circulant Graphs. Journal of Mathematics. 2017. Vol. 2017, no. 2017, pp.1-4.
https://search.emarefa.net/detail/BIM-1182381
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1182381