|
Algebra and Discrete Mathematics, 2019, Volume 27, Issue 2, Pages 191–201
(Mi adm702)
|
|
|
|
RESEARCH ARTICLE
On cospectral signed digraphs
M. A. Bhata, T. A. Naikoob, S. Pirzadaa a Department of Mathematics, University of Kashmir, India
b Department of Mathematics, Islamia College for Science and Commerce, Srinagar, India
Abstract:
The set of distinct eigenvalues of a signed digraph $S$ together with their respective multiplicities is called its spectrum. Two signed digraphs of same order are said to be cospectral if they have the same spectrum. In this paper, we show the existence of integral, real and Gaussian cospectral signed digraphs. We give a spectral characterization of normal signed digraphs and use it to construct cospectral normal signed digraphs.
Keywords:
spectrum of a signed digraph, cospectral signed digraphs, normal signed digraph.
Received: 11.05.2016
Citation:
M. A. Bhat, T. A. Naikoo, S. Pirzada, “On cospectral signed digraphs”, Algebra Discrete Math., 27:2 (2019), 191–201
Linking options:
https://www.mathnet.ru/eng/adm702 https://www.mathnet.ru/eng/adm/v27/i2/p191
|
Statistics & downloads: |
Abstract page: | 55 | Full-text PDF : | 39 | References: | 12 |
|