A Range of the Multidimensional Permanent on (0, 1)-Matrices

I. M. Evseev; A. E. Guterman

doi:10.1007/978-981-99-6349-2_7

A Range of the Multidimensional Permanent on (0, 1)-Matrices

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we consider the multidimensional matrices of zeros and ones. Certain estimates for consecutive values of the permanent function on such matrices are known. We investigate new values of the permanent function appearing while the dimension increases. Using these investigations, we obtain new estimates for consecutive values of the permanent and show that for a series of matrix parameters they are better than the estimates known previously.

Original language	English
Title of host publication	Semigroups, Algebras and Operator Theory - ICSAOT 2022
Editors	A.A. Ambily, V.B. Kiran Kumar
Pages	127-147
Number of pages	21
DOIs	https://doi.org/10.1007/978-981-99-6349-2_7
State	Published - 2023
Externally published	Yes
Event	International Conference on Semigroup, Algebras, and Operator Theory, ICSAOT 2022 - Cochin, India Duration: 28 Mar 2022 → 31 Mar 2022

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	436

Conference

Conference	International Conference on Semigroup, Algebras, and Operator Theory, ICSAOT 2022
Country/Territory	India
City	Cochin
Period	28/03/22 → 31/03/22

Keywords

(0, 1)-matrices
Multidimensional matrices
Permanent

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/978-981-99-6349-2_7

Cite this

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title = "A Range of the Multidimensional Permanent on (0, 1)-Matrices",

abstract = "In this paper we consider the multidimensional matrices of zeros and ones. Certain estimates for consecutive values of the permanent function on such matrices are known. We investigate new values of the permanent function appearing while the dimension increases. Using these investigations, we obtain new estimates for consecutive values of the permanent and show that for a series of matrix parameters they are better than the estimates known previously.",

keywords = "(0, 1)-matrices, Multidimensional matrices, Permanent",

author = "Evseev, {I. M.} and Guterman, {A. E.}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023.; International Conference on Semigroup, Algebras, and Operator Theory, ICSAOT 2022 ; Conference date: 28-03-2022 Through 31-03-2022",

year = "2023",

doi = "10.1007/978-981-99-6349-2_7",

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isbn = "9789819963485",

series = "Springer Proceedings in Mathematics and Statistics",

pages = "127--147",

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booktitle = "Semigroups, Algebras and Operator Theory - ICSAOT 2022",

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Evseev, IM & Guterman, AE 2023, A Range of the Multidimensional Permanent on (0, 1)-Matrices. in AA Ambily & VB Kiran Kumar (eds), Semigroups, Algebras and Operator Theory - ICSAOT 2022. Springer Proceedings in Mathematics and Statistics, vol. 436, pp. 127-147, International Conference on Semigroup, Algebras, and Operator Theory, ICSAOT 2022, Cochin, India, 28/03/22. https://doi.org/10.1007/978-981-99-6349-2_7

A Range of the Multidimensional Permanent on (0, 1)-Matrices. / Evseev, I. M.; Guterman, A. E.
Semigroups, Algebras and Operator Theory - ICSAOT 2022. ed. / A.A. Ambily; V.B. Kiran Kumar. 2023. p. 127-147 (Springer Proceedings in Mathematics and Statistics; Vol. 436).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - A Range of the Multidimensional Permanent on (0, 1)-Matrices

AU - Evseev, I. M.

AU - Guterman, A. E.

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023.

PY - 2023

Y1 - 2023

N2 - In this paper we consider the multidimensional matrices of zeros and ones. Certain estimates for consecutive values of the permanent function on such matrices are known. We investigate new values of the permanent function appearing while the dimension increases. Using these investigations, we obtain new estimates for consecutive values of the permanent and show that for a series of matrix parameters they are better than the estimates known previously.

AB - In this paper we consider the multidimensional matrices of zeros and ones. Certain estimates for consecutive values of the permanent function on such matrices are known. We investigate new values of the permanent function appearing while the dimension increases. Using these investigations, we obtain new estimates for consecutive values of the permanent and show that for a series of matrix parameters they are better than the estimates known previously.

KW - (0, 1)-matrices

KW - Multidimensional matrices

KW - Permanent

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M3 - منشور من مؤتمر

SN - 9789819963485

T3 - Springer Proceedings in Mathematics and Statistics

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BT - Semigroups, Algebras and Operator Theory - ICSAOT 2022

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T2 - International Conference on Semigroup, Algebras, and Operator Theory, ICSAOT 2022

Y2 - 28 March 2022 through 31 March 2022

ER -

A Range of the Multidimensional Permanent on (0, 1)-Matrices

Abstract

Publication series

Conference

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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