Connected Colourings of Complete Graphs and Hypergraphs

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Leader, Imre; Tan, Ta Sheng;
  • Subject: Mathematics - Combinatorics
    arxiv: Astrophysics::Galaxy Astrophysics | Mathematics::Combinatorics | Astrophysics::Cosmology and Extragalactic Astrophysics

Gallai's colouring theorem states that if the edges of a complete graph are 3-coloured, with each colour class forming a connected (spanning) subgraph, then there is a triangle that has all 3 colours. What happens for more colours: if we $k$-colour the edges of the comp... View more
  • References (14)
    14 references, page 1 of 2

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