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Correction to “A Classification of Spectrum-determined Circulant Digraphs”

Correction to “A Classification of Spectrum-determined Circulant Digraphs” Acta Mathematicae Applicatae Sinica, English Series Acta Mathemacae Applicatae Sinica, Vol. 37, No. 4 (2021) 867{868 English Series The Editorial Office of AMAS & https://doi.org/10.1007/s10255-021-1052-6 Springer-Verlag GmbH Germany 2021 http://www.ApplMath.com.cn & www.SpringerLink.com Correction to \A Classi cation of Spectrum-determined Circulant Digraphs" Published on Acta Mathematicae Applicatae Sinica (English Series), 34: 703{709 (2018) 1† 1 2 3 Zheng-xin QIN , Xin-ping XU , Ji-xiang MENG , Guo-ping WANG School of mathematics and information technology, Jiangsu Second Normal University, Nanjing 210013, China (E-mail:qinzheng.xin@163.com) College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, China We nd an error in the proof of Lemma 4 in [3] . This makes that Theorem 2 and Corollary 3 in [3] are also wrong, and the next counterexample shows this. ∗ a−1 b−1 c−1 Suppose that p = 3, q = 5, w = 7, then |Z | = (p − 1)p (q − 1)q (w − 1)w = 48, 1 ∗ 1 |Z | = 52.5, but |Z | < |Z |. This contradicts Lemma 4, which leads that Theorem 2 and n n n 2 2 Corollary 3 are wrong. n ∗ 1 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Correction to “A Classification of Spectrum-determined Circulant Digraphs”

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Publisher
Springer Journals
Copyright
Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2021
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-021-1052-6
Publisher site
See Article on Publisher Site

Abstract

Acta Mathematicae Applicatae Sinica, English Series Acta Mathemacae Applicatae Sinica, Vol. 37, No. 4 (2021) 867{868 English Series The Editorial Office of AMAS & https://doi.org/10.1007/s10255-021-1052-6 Springer-Verlag GmbH Germany 2021 http://www.ApplMath.com.cn & www.SpringerLink.com Correction to \A Classi cation of Spectrum-determined Circulant Digraphs" Published on Acta Mathematicae Applicatae Sinica (English Series), 34: 703{709 (2018) 1† 1 2 3 Zheng-xin QIN , Xin-ping XU , Ji-xiang MENG , Guo-ping WANG School of mathematics and information technology, Jiangsu Second Normal University, Nanjing 210013, China (E-mail:qinzheng.xin@163.com) College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, China We nd an error in the proof of Lemma 4 in [3] . This makes that Theorem 2 and Corollary 3 in [3] are also wrong, and the next counterexample shows this. ∗ a−1 b−1 c−1 Suppose that p = 3, q = 5, w = 7, then |Z | = (p − 1)p (q − 1)q (w − 1)w = 48, 1 ∗ 1 |Z | = 52.5, but |Z | < |Z |. This contradicts Lemma 4, which leads that Theorem 2 and n n n 2 2 Corollary 3 are wrong. n ∗ 1

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Oct 1, 2021

References