A (57,14,1) strongly regular graph does not exist

H.A. Wilbrink; A.E. Brouwer

doi:10.1016/1385-7258(83)90047-1

A (57,14,1) strongly regular graph does not exist

H.A. Wilbrink
, A.E. Brouwer

Discrete Algebra and Geometry

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

6 Citations (Scopus)

Abstract

We show that a strongly regular graph with parameters n=57, K=14, ¿=1, ¿=4 ( (0,1)-eigenvalues: 1*14, 38*2, 18*(-5); (1, -1)-eigenvalues: 1*28, 38*(- 5), 18*9) does not exist.

Original language	English
Pages (from-to)	117-121
Journal	Indagationes Mathematicae (Proceedings)
Volume	86
Issue number	1
DOIs	https://doi.org/10.1016/1385-7258(83)90047-1
Publication status	Published - 1983

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title = "A (57,14,1) strongly regular graph does not exist",

abstract = "We show that a strongly regular graph with parameters n=57, K=14, ¿=1, ¿=4 ( (0,1)-eigenvalues: 1*14, 38*2, 18*(-5); (1, -1)-eigenvalues: 1*28, 38*(- 5), 18*9) does not exist.",

author = "H.A. Wilbrink and A.E. Brouwer",

year = "1983",

doi = "10.1016/1385-7258(83)90047-1",

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T1 - A (57,14,1) strongly regular graph does not exist

AU - Wilbrink, H.A.

AU - Brouwer, A.E.

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AB - We show that a strongly regular graph with parameters n=57, K=14, ¿=1, ¿=4 ( (0,1)-eigenvalues: 1*14, 38*2, 18*(-5); (1, -1)-eigenvalues: 1*28, 38*(- 5), 18*9) does not exist.

U2 - 10.1016/1385-7258(83)90047-1

DO - 10.1016/1385-7258(83)90047-1

M3 - Article

SN - 1385-7258

VL - 86

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EP - 121

JO - Indagationes Mathematicae (Proceedings)

JF - Indagationes Mathematicae (Proceedings)

IS - 1

ER -

A (57,14,1) strongly regular graph does not exist

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