Three-Class Association Schemes

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Abstract

We study (symmetric) three-class association schemes.The graphs with four distinct eigenvalues which are one of the relations of such a scheme are characterized.We give an overview of most known constructions, and obtain necessary conditions for existence.A list of feasible parameter sets on at most 100 vertices is generated.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages36
Volume744
Publication statusPublished - 1997

Publication series

NameFEW Research Memorandum
Volume744

Fingerprint

Association Scheme
Eigenvalue
Distinct
Necessary Conditions
Graph in graph theory
Class

Keywords

  • wage differentials
  • international trade

Cite this

van Dam, E. R. (1997). Three-Class Association Schemes. (FEW Research Memorandum; Vol. 744). Tilburg: Operations research.
van Dam, E.R. / Three-Class Association Schemes. Tilburg : Operations research, 1997. 36 p. (FEW Research Memorandum).
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keywords = "wage differentials, international trade",
author = "{van Dam}, E.R.",
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van Dam, ER 1997, Three-Class Association Schemes. FEW Research Memorandum, vol. 744, vol. 744, Operations research, Tilburg.

Three-Class Association Schemes. / van Dam, E.R.

Tilburg : Operations research, 1997. 36 p. (FEW Research Memorandum; Vol. 744).

Research output: Book/ReportReportProfessional

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PY - 1997

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AB - We study (symmetric) three-class association schemes.The graphs with four distinct eigenvalues which are one of the relations of such a scheme are characterized.We give an overview of most known constructions, and obtain necessary conditions for existence.A list of feasible parameter sets on at most 100 vertices is generated.

KW - wage differentials

KW - international trade

M3 - Report

VL - 744

T3 - FEW Research Memorandum

BT - Three-Class Association Schemes

PB - Operations research

CY - Tilburg

ER -

van Dam ER. Three-Class Association Schemes. Tilburg: Operations research, 1997. 36 p. (FEW Research Memorandum).