Enumeration of Seidel matrices

Ferenc Szöllősi; Patric R.J. Östergård

doi:10.1016/j.ejc.2017.10.009

Enumeration of Seidel matrices

Ferenc Szöllősi, Patric R.J. Östergård

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

13 Sitaatiot (Scopus)

Abstrakti

In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order n≤13. Based on this Seidel matrices with exactly three distinct eigenvalues of order n≤23 are classified. One consequence of the computational results is that the maximum number of equiangular lines in R¹² with common angle 1∕5 is exactly 20.

Alkuperäiskieli	Englanti
Sivut	169-184
Sivumäärä	16
Julkaisu	European Journal of Combinatorics
Vuosikerta	69
DOI - pysyväislinkit	https://doi.org/10.1016/j.ejc.2017.10.009
Tila	Julkaistu - 1 maaliskuuta 2018
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1016/j.ejc.2017.10.009

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title = "Enumeration of Seidel matrices",

abstract = "In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order n≤13. Based on this Seidel matrices with exactly three distinct eigenvalues of order n≤23 are classified. One consequence of the computational results is that the maximum number of equiangular lines in R12 with common angle 1∕5 is exactly 20.",

author = "Ferenc Sz{\"o}ll{\H o}si and {\"O}sterg{\aa}rd, {Patric R.J.}",

year = "2018",

month = mar,

day = "1",

doi = "10.1016/j.ejc.2017.10.009",

language = "English",

volume = "69",

pages = "169--184",

journal = "European Journal of Combinatorics",

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TY - JOUR

T1 - Enumeration of Seidel matrices

AU - Szöllősi, Ferenc

AU - Östergård, Patric R.J.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order n≤13. Based on this Seidel matrices with exactly three distinct eigenvalues of order n≤23 are classified. One consequence of the computational results is that the maximum number of equiangular lines in R12 with common angle 1∕5 is exactly 20.

AB - In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order n≤13. Based on this Seidel matrices with exactly three distinct eigenvalues of order n≤23 are classified. One consequence of the computational results is that the maximum number of equiangular lines in R12 with common angle 1∕5 is exactly 20.

UR - http://www.scopus.com/inward/record.url?scp=85035100196&partnerID=8YFLogxK

U2 - 10.1016/j.ejc.2017.10.009

DO - 10.1016/j.ejc.2017.10.009

M3 - Article

AN - SCOPUS:85035100196

VL - 69

SP - 169

EP - 184

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

SN - 0195-6698

ER -

Enumeration of Seidel matrices

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