Published January 1, 2018
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UNIFORMLY RESOLVABLE (C-4, K-1,K-3)-DESIGNS OF INDEX 2
- 1. Univ Catania, Dipartimento Matemat & Informat, Catania, Italy
- 2. Koc Univ, Dept Math, Istanbul, Turkey
Description
In this paper we consider the uniformly resolvable decompositions of the complete graph lambda K-v into subgraphs where each resolution class contains only blocks isomorphic to the same graph. We consider the cases in which all the resolution classes are either C-4 or K-1,K-3. We prove that this type of system does not exist for lambda odd and determine completely the spectrum for lambda = 2.
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