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A note on colour-bias Hamilton cycles in dense graphs

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 نشر من قبل Andrew Treglown
 تاريخ النشر 2020
  مجال البحث
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Balogh, Csaba, Jing and Pluhar recently determined the minimum degree threshold that ensures a $2$-coloured graph $G$ contains a Hamilton cycle of significant colour bias (i.e., a Hamilton cycle that contains significantly more than half of its edges in one colour). In this short note we extend this result, determining the corresponding threshold for $r$-colourings.



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