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Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph. / Kabanov, Vladislav; Konstantinova, Elena V.; Shalaginov, Leonid et al.

In: Electronic Journal of Combinatorics, Vol. 27, No. 2, P2.14, 01.05.2020.

Research output: Contribution to journalArticlepeer-review

Harvard

Kabanov, V, Konstantinova, EV, Shalaginov, L & Valyuzhenich, A 2020, 'Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph', Electronic Journal of Combinatorics, vol. 27, no. 2, P2.14. https://doi.org/10.37236/9147

APA

Kabanov, V., Konstantinova, E. V., Shalaginov, L., & Valyuzhenich, A. (2020). Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph. Electronic Journal of Combinatorics, 27(2), [P2.14]. https://doi.org/10.37236/9147

Vancouver

Kabanov V, Konstantinova EV, Shalaginov L, Valyuzhenich A. Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph. Electronic Journal of Combinatorics. 2020 May 1;27(2):P2.14. doi: 10.37236/9147

Author

Kabanov, Vladislav ; Konstantinova, Elena V. ; Shalaginov, Leonid et al. / Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph. In: Electronic Journal of Combinatorics. 2020 ; Vol. 27, No. 2.

BibTeX

@article{820efc6063a44e3f84c6bc6053310389,
title = "Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph∗",
abstract = "The Star graph Sn, n ≥ 3, is the Cayley graph on the symmetric group Symn generated by the set of transpositions {(12), (13), …, (1n)}. In this work we study eigenfunctions of Sn corresponding to the second largest eigenvalue n−2. For n ≥ 8 and n = 3, we find the minimum cardinality of the support of an eigenfunction of Sn corresponding to the second largest eigenvalue and obtain a characterization of eigenfunctions with the minimum cardinality of the support.",
keywords = "MULTIPLICITIES",
author = "Vladislav Kabanov and Konstantinova, {Elena V.} and Leonid Shalaginov and Alexandr Valyuzhenich",
year = "2020",
month = may,
day = "1",
doi = "10.37236/9147",
language = "English",
volume = "27",
journal = "Electronic Journal of Combinatorics",
issn = "1077-8926",
publisher = "Electronic Journal of Combinatorics",
number = "2",

}

RIS

TY - JOUR

T1 - Minimum supports of eigenfunctions with the second largest eigenvalue of the star graph∗

AU - Kabanov, Vladislav

AU - Konstantinova, Elena V.

AU - Shalaginov, Leonid

AU - Valyuzhenich, Alexandr

PY - 2020/5/1

Y1 - 2020/5/1

N2 - The Star graph Sn, n ≥ 3, is the Cayley graph on the symmetric group Symn generated by the set of transpositions {(12), (13), …, (1n)}. In this work we study eigenfunctions of Sn corresponding to the second largest eigenvalue n−2. For n ≥ 8 and n = 3, we find the minimum cardinality of the support of an eigenfunction of Sn corresponding to the second largest eigenvalue and obtain a characterization of eigenfunctions with the minimum cardinality of the support.

AB - The Star graph Sn, n ≥ 3, is the Cayley graph on the symmetric group Symn generated by the set of transpositions {(12), (13), …, (1n)}. In this work we study eigenfunctions of Sn corresponding to the second largest eigenvalue n−2. For n ≥ 8 and n = 3, we find the minimum cardinality of the support of an eigenfunction of Sn corresponding to the second largest eigenvalue and obtain a characterization of eigenfunctions with the minimum cardinality of the support.

KW - MULTIPLICITIES

UR - http://www.scopus.com/inward/record.url?scp=85085620500&partnerID=8YFLogxK

U2 - 10.37236/9147

DO - 10.37236/9147

M3 - Article

AN - SCOPUS:85085620500

VL - 27

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

SN - 1077-8926

IS - 2

M1 - P2.14

ER -

ID: 24411864