Combinatorial Designs with Two Singular Values II. Partial Geometric Designs

E.R. van Dam, E. Spence

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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

Keywords

  • matrices
  • singularities
  • geometry
  • combinatorics

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