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Near rainbow Hamilton cycles in dense graphs

math.CO · 2024-11-27 · conditional · novelty 6.0

In any proper edge-colouring of a graph with n vertices and minimum degree at least (1/2+ε)n, if every colour appears on at most n/8 edges, there is a Hamilton cycle using n−o(n) distinct colours.

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  • Near rainbow Hamilton cycles in dense graphs math.CO · 2024-11-27 · conditional · none · ref 2

    In any proper edge-colouring of a graph with n vertices and minimum degree at least (1/2+ε)n, if every colour appears on at most n/8 edges, there is a Hamilton cycle using n−o(n) distinct colours.