Minimal perfect bicoverings of K_v with block sizes two, three and four

Grannell, Mike; Griggs, Terry and Santon, R. G. (2004). Minimal perfect bicoverings of K_v with block sizes two, three and four. Ars Combinatoria, 71 pp. 125–138.

Abstract

We survey the status of minimal coverings of pairs with block sizes two, three and four when λ = 1, that is, all pairs from a v-set are covered exactly once. Then we provide a complete solution for the case λ = 2.

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