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 s...
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| Datum: | 2019 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2019
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/218 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-2182019-07-14T19:54:06Z On cospectral signed digraphs Bhat, M. A. Naikoo, T. A. Pirzada, S. spectrum of a signed digraph, cospectral signed digraphs, normal signed digraph 05C30, 05C50 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. Lugansk National Taras Shevchenko University DST, New Delhi 2019-07-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/218 Algebra and Discrete Mathematics; Vol 27, No 2 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/218/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/218/85 Copyright (c) 2019 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2019-07-14T19:54:06Z |
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OJS |
| language |
English |
| topic |
spectrum of a signed digraph cospectral signed digraphs normal signed digraph 05C30 05C50 |
| spellingShingle |
spectrum of a signed digraph cospectral signed digraphs normal signed digraph 05C30 05C50 Bhat, M. A. Naikoo, T. A. Pirzada, S. On cospectral signed digraphs |
| topic_facet |
spectrum of a signed digraph cospectral signed digraphs normal signed digraph 05C30 05C50 |
| format |
Article |
| author |
Bhat, M. A. Naikoo, T. A. Pirzada, S. |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2019 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/218 |
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AT bhatma oncospectralsigneddigraphs AT naikoota oncospectralsigneddigraphs AT pirzadas oncospectralsigneddigraphs |
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2025-12-02T15:42:33Z |
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2025-12-02T15:42:33Z |
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