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Partitioning Two-Coloured Complete Graphs into Two Monochromatic Cycles

  • TOMASZ ŁUCZAK (a1), VOJTĚCH RÖDL (a2) and ENDRE SZEMERÉDI (a3)
Abstract

We prove that there exists n0, such that, for every n[ges ]n0 and every 2-colouring of the edges of the complete graph Kn, one can find two vertex-disjoint monochromatic cycles of different colours which cover all vertices of Kn.

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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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