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On complementary decompositions of the complete graph

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Abstract

We consider decompositionsK n → H, whereH is eitherP 3 (the path with 3 edges) or the complete bipartite graphK 1, 3, with the property that upon taking the complement of each graph in the decomposition one obtains a new decompositionK n → Hc.

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Authors and Affiliations

  1. Department of Mathematics, Queen's University, K7L 3N6, Kingston, Ontario, Canada

    Andrew Granville, Alexandros Moisiadis & Rolf Rees

Authors
  1. Andrew Granville
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  2. Alexandros Moisiadis
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  3. Rolf Rees
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Research supported in part by an NSERC postgraduate Scholarship.

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Granville, A., Moisiadis, A. & Rees, R. On complementary decompositions of the complete graph. Graphs and Combinatorics 5, 57–61 (1989). https://doi.org/10.1007/BF01788658

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  • DOI: https://doi.org/10.1007/BF01788658

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