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On cospectral signed digraphs

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 signe...

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Main Authors: Bhat, M.A., Naikoo, T.A., Pirzada, S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188432
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spelling irk-123456789-1884322023-03-02T01:27:15Z On cospectral signed digraphs Bhat, M.A. Naikoo, T.A. Pirzada, S. 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. 2019 Article On cospectral signed digraphs / M.A. Bhat, T.A. Naikoo, S. Pirzada // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 191–201. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC: 05C30, 05C50. http://dspace.nbuv.gov.ua/handle/123456789/188432 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Bhat, M.A.
Naikoo, T.A.
Pirzada, S.
spellingShingle Bhat, M.A.
Naikoo, T.A.
Pirzada, S.
On cospectral signed digraphs
Algebra and Discrete Mathematics
author_facet Bhat, M.A.
Naikoo, T.A.
Pirzada, S.
author_sort Bhat, M.A.
title On cospectral signed digraphs
title_short On cospectral signed digraphs
title_full On cospectral signed digraphs
title_fullStr On cospectral signed digraphs
title_full_unstemmed On cospectral signed digraphs
title_sort on cospectral signed digraphs
publisher Інститут прикладної математики і механіки НАН України
publishDate 2019
url http://dspace.nbuv.gov.ua/handle/123456789/188432
citation_txt On cospectral signed digraphs / M.A. Bhat, T.A. Naikoo, S. Pirzada // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 191–201. — Бібліогр.: 10 назв. — англ.
series Algebra and Discrete Mathematics
work_keys_str_mv AT bhatma oncospectralsigneddigraphs
AT naikoota oncospectralsigneddigraphs
AT pirzadas oncospectralsigneddigraphs
first_indexed 2023-10-18T23:08:21Z
last_indexed 2023-10-18T23:08:21Z
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