Disproving a conjecture of Thornton on Bohemian matrices

Disproving a conjecture of Thornton on Bohemian matrices

In this paper, we disprove a remaining conjecture about Bohemian matrices, in which the numbers of distinct determinants of a normalized Bohemian upper-Hessenberg matrix were conjectured.

Bibliographic Details
Main Authors: Du Zhibin, da Fonseca Carlos M., Xu Yingqiu, Ye Jiahao
Format: Article
Language:English
Published: De Gruyter 2021-06-01
Series:Open Mathematics
Subjects:
bohemian matrix
integral matrix
normalized upper hessenberg matrix
determinant
15a15
Online Access:https://doi.org/10.1515/math-2021-0045
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spelling doaj-7618503d50804d45b21c25ada41059382021-10-03T07:42:36ZengDe GruyterOpen Mathematics2391-54552021-06-0119150551410.1515/math-2021-0045Disproving a conjecture of Thornton on Bohemian matricesDu Zhibin0da Fonseca Carlos M.1Xu Yingqiu2Ye Jiahao3School of Software, South China Normal University, Foshan, Guangdong 528225, ChinaKuwait College of Science and Technology, Doha District, Block 4, P.O. Box 27235, Safat 13133, KuwaitSchool of Software, South China Normal University, Foshan, Guangdong 528225, ChinaSchool of Software, South China Normal University, Foshan, Guangdong 528225, ChinaIn this paper, we disprove a remaining conjecture about Bohemian matrices, in which the numbers of distinct determinants of a normalized Bohemian upper-Hessenberg matrix were conjectured.https://doi.org/10.1515/math-2021-0045bohemian matrixintegral matrixnormalized upper hessenberg matrixdeterminant15a15
collection DOAJ
language English
format Article
sources DOAJ
author Du Zhibin
da Fonseca Carlos M.
Xu Yingqiu
Ye Jiahao
spellingShingle Du Zhibin
da Fonseca Carlos M.
Xu Yingqiu
Ye Jiahao
Disproving a conjecture of Thornton on Bohemian matrices
Open Mathematics
bohemian matrix
integral matrix
normalized upper hessenberg matrix
determinant
15a15
author_facet Du Zhibin
da Fonseca Carlos M.
Xu Yingqiu
Ye Jiahao
author_sort Du Zhibin
title Disproving a conjecture of Thornton on Bohemian matrices
title_short Disproving a conjecture of Thornton on Bohemian matrices
title_full Disproving a conjecture of Thornton on Bohemian matrices
title_fullStr Disproving a conjecture of Thornton on Bohemian matrices
title_full_unstemmed Disproving a conjecture of Thornton on Bohemian matrices
title_sort disproving a conjecture of thornton on bohemian matrices
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2021-06-01
description In this paper, we disprove a remaining conjecture about Bohemian matrices, in which the numbers of distinct determinants of a normalized Bohemian upper-Hessenberg matrix were conjectured.
topic bohemian matrix
integral matrix
normalized upper hessenberg matrix
determinant
15a15
url https://doi.org/10.1515/math-2021-0045
work_keys_str_mv AT duzhibin disprovingaconjectureofthorntononbohemianmatrices
AT dafonsecacarlosm disprovingaconjectureofthorntononbohemianmatrices
AT xuyingqiu disprovingaconjectureofthorntononbohemianmatrices
AT yejiahao disprovingaconjectureofthorntononbohemianmatrices
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