Spectral characterization of a graph on the flags of the eleven point biplane

A. Blokhuis; A.E. Brouwer

doi:10.1007/s10623-011-9570-5

Spectral characterization of a graph on the flags of the eleven point biplane

A. Blokhuis
, A.E. Brouwer

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (Scopus)

160 Downloads (Pure)

Abstract

We characterize a 55-point graph by its spectrum $ 4^1, (-2)^{10}, (-1 \pm \sqrt{3})^{10}, ((3 \pm \sqrt{5})/2)^{12} $. No interlacing is used: examination of tr A^m for m = 7 together with study of the representation in the eigenspace for the eigenvalue -2 suffices.

Original language	English
Pages (from-to)	65-69
Journal	Designs, Codes and Cryptography
Volume	65
Issue number	1-2
DOIs	https://doi.org/10.1007/s10623-011-9570-5
Publication status	Published - 2012

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title = "Spectral characterization of a graph on the flags of the eleven point biplane",

abstract = "We characterize a 55-point graph by its spectrum \$ 4\textasciicircum{}1, (-2)\textasciicircum{}\{10\}, (-1 \textbackslash{}pm \textbackslash{}sqrt\{3\})\textasciicircum{}\{10\}, ((3 \textbackslash{}pm \textbackslash{}sqrt\{5\})/2)\textasciicircum{}\{12\} \$. No interlacing is used: examination of tr A\textasciicircum{}m for m = 7 together with study of the representation in the eigenspace for the eigenvalue -2 suffices.",

author = "A. Blokhuis and A.E. Brouwer",

year = "2012",

doi = "10.1007/s10623-011-9570-5",

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AU - Brouwer, A.E.

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AB - We characterize a 55-point graph by its spectrum $ 4^1, (-2)^{10}, (-1 \pm \sqrt{3})^{10}, ((3 \pm \sqrt{5})/2)^{12} $. No interlacing is used: examination of tr A^m for m = 7 together with study of the representation in the eigenspace for the eigenvalue -2 suffices.

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DO - 10.1007/s10623-011-9570-5

M3 - Article

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VL - 65

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EP - 69

JO - Designs, Codes and Cryptography

JF - Designs, Codes and Cryptography

IS - 1-2

ER -

Spectral characterization of a graph on the flags of the eleven point biplane

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