Abstract
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 language | English (US) |
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Pages (from-to) | 1557-1567 |
Number of pages | 11 |
Journal | Graphs and Combinatorics |
Volume | 29 |
Issue number | 5 |
DOIs | |
State | Published - Sep 1 2013 |
Keywords
- 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