UTCC Scholarhttps://scholar.utcc.ac.thThe DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Mon, 19 Apr 2021 12:48:20 GMT2021-04-19T12:48:20Z5011GDDs with two associate classes and with three groups of sizes 1, n and nhttps://scholar.utcc.ac.th/handle/6626976254/3438Title: GDDs with two associate classes and with three groups of sizes 1, n and n
Authors: Lapchinda, W.; Punnim, N.; Pabhapote, P.
Abstract: A group divisible design GDD(v = 1+n+ n, 3, λ1, λ2) is an ordered pair (V, B) where V is an (1 + n + n)set of symbols and B is a collection of 3subsets (called blocks) of V satisfying the following properties: the (1 + n + n)set is divided into 3 groups of sizes 1, n and n; each pair of symbols from the same group occurs in exactly λ1 blocks in B; and each pair of symbols from differentgroups occurs in exactly λ2 blocks in B. The spectrum of λ1, λ2, denoted by Spec(λ1, λ2), is defined by Spec(λ1, λ2) = {n ∈ N: a GDD(v = 1+n + n, 3, λ1, λ2) exists}. We find the spectrum Spec(λ1, λ2) for all λ1 ≥ λ2.
Wed, 01 Jan 2014 00:00:00 GMThttps://scholar.utcc.ac.th/handle/6626976254/34382014-01-01T00:00:00Z