The Existence of (K2 × K6)-Designs

Chengmin Wang, Charles Colbourn

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Direct and recursive constructions are established for graph designs for K2 × K6 grid-blocks. Using these, the existence of graph designs of index one in which the blocks are K2 × K6 grid-blocks is completely determined: A (K2 × K6)-design of order v exists if and only if v ≡ 1 (mod 72).

Original languageEnglish (US)
Pages (from-to)1557-1567
Number of pages11
JournalGraphs and Combinatorics
Issue number5
StatePublished - Sep 1 2013


  • Balanced incomplete block design
  • Graph design
  • Grid design
  • Group divisible design
  • Pairwise balanced design

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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