A λ-fold G-design is said to be α-resolvable if its blocks can be partitioned into classes such that every class contains each vertex exactly α times. In this paper we study the existence problem of an α-resolvable λ-fold G-design of order v in the case when G is any connected subgraph of K4 and prove that the necessary conditions for its existence are also sufficient. © 2017 University of Calgary.
α-resolvable λ-fold G-designs
LO FARO, Giovanni;TRIPODI, Antoinette
2017-01-01
Abstract
A λ-fold G-design is said to be α-resolvable if its blocks can be partitioned into classes such that every class contains each vertex exactly α times. In this paper we study the existence problem of an α-resolvable λ-fold G-design of order v in the case when G is any connected subgraph of K4 and prove that the necessary conditions for its existence are also sufficient. © 2017 University of Calgary.File in questo prodotto:
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