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An unusual decomposition of a complete 7-partite graph of order 28
Authors:Edward Dobson  Dragan Maruši?
Institution:a Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA
b University of Ljubljana, IMFM, Jadranska 19, 1000 Ljubljana, Slovenia
c University of Primorska, FAMNIT, Glagoljaška 8, 6000 Koper, Slovenia
Abstract:A decomposition of the complete 7-partite graph on 28 vertices where each set in the partition has four vertices is given. Several unusual properties of this decomposition are discussed, giving rise to several natural questions.
Keywords:Decomposition  Factorization  Primitive  Imprimitive  Vertex-transitive graph
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