题目:Monochromatic tight cycle partition for $3$-graphs
报告人:Allan Lo(School of Mathematics,University of Birmingham)
时间:4月9日(周二)上午10: 30-11:30
地点:二教2204
Abstract: A conjecture of Lehel states that every $2$-edge-coloured complete graph can be partitioned into two disjoint monochromatic cycles. This conjecture was confirmed by Bessy and Thomass/'e. We prove that its analogous result holds for tight cycles in $3$-uniform hypergraph, that is, every $2$-edge-coloured (large) complete $3$-uniform hypergraph can be partitioned into two monochromatic tight cycles.
This is joint work with Frederik Garbe, Richard Lang, Richard Mycroft and Nicol/'{a}s Sanhueza-Matamala.
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