Combinatorial Designs with Two Singular Values II. Partial Geometric Designs

E.R. van Dam, E. Spence

Research output: Working paperDiscussion paperOther research output

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Abstract

In this and an earlier paper [17] we study combinatorial designs whose incidence matrix has two distinct singular values.These generalize (v, k, ë) designs, and include uniform multiplicative designs and partial geometric designs.Here we study the latter, which are precisely the designs with constant replication and block size.We collect most known results, give new characterization results, and we enumerate, partly by computer, all small ones.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages13
Volume2003-94
Publication statusPublished - 2003

Publication series

NameCentER Discussion Paper
Volume2003-94

Fingerprint

Geometric Design
Combinatorial Design
Singular Values
Partial
Incidence Matrix
Replication
Multiplicative
Distinct
Generalise
Design

Keywords

  • matrices
  • singularities
  • geometry
  • combinatorics

Cite this

van Dam, E. R., & Spence, E. (2003). Combinatorial Designs with Two Singular Values II. Partial Geometric Designs. (CentER Discussion Paper; Vol. 2003-94). Tilburg: Operations research.
van Dam, E.R. ; Spence, E. / Combinatorial Designs with Two Singular Values II. Partial Geometric Designs. Tilburg : Operations research, 2003. (CentER Discussion Paper).
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van Dam, ER & Spence, E 2003 'Combinatorial Designs with Two Singular Values II. Partial Geometric Designs' CentER Discussion Paper, vol. 2003-94, Operations research, Tilburg.

Combinatorial Designs with Two Singular Values II. Partial Geometric Designs. / van Dam, E.R.; Spence, E.

Tilburg : Operations research, 2003. (CentER Discussion Paper; Vol. 2003-94).

Research output: Working paperDiscussion paperOther research output

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AU - Spence, E.

N1 - Pagination: 13

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AB - In this and an earlier paper [17] we study combinatorial designs whose incidence matrix has two distinct singular values.These generalize (v, k, ë) designs, and include uniform multiplicative designs and partial geometric designs.Here we study the latter, which are precisely the designs with constant replication and block size.We collect most known results, give new characterization results, and we enumerate, partly by computer, all small ones.

KW - matrices

KW - singularities

KW - geometry

KW - combinatorics

M3 - Discussion paper

VL - 2003-94

T3 - CentER Discussion Paper

BT - Combinatorial Designs with Two Singular Values II. Partial Geometric Designs

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CY - Tilburg

ER -

van Dam ER, Spence E. Combinatorial Designs with Two Singular Values II. Partial Geometric Designs. Tilburg: Operations research. 2003. (CentER Discussion Paper).