Richard Mycroft

activity

20082026

most citedHamilton l-cycles in uniform hypergraphs

81 citations · 322 across the 17 of their papers we have counts for

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Showing 2025Show all

4 papers · 1 filter

math.CO2025

Two new results on maximal left-compressed intersecting families

Allan Flower, Richard Mycroft

This paper presents two new results on the theory of maximal left-compressed intersecting families (MLCIFs). First, we answer a question raised by Barber by showing that the number…

math.CO2025

Positive codegree thresholds for perfect matchings in hypergraphs

Richard Mycroft, Camila Zárate-Guerén

We give, for each $k \geq 3$ , the precise best possible minimum positive codegree condition for a perfect matching in a large $k$ -uniform hypergraph $H$ on $n$ vertices. Specifical…

math.CO2025

Positive codegree thresholds for Hamilton cycles in hypergraphs

Richard Mycroft, Camila Zárate-Guerén

For each $k \geq 3$ and $1 \leq ℓ \leq k - 1$ we give an asymptotically best possible minimum positive codegree condition for the existence of a Hamilton $ℓ$ -cycle in a $k$ -uni…

math.CO2025

Perfect tilings of 3-graphs with the generalised triangle

Candida Bowtell, Amarja Kathapurkar, Natasha Morrison +1

We establish a best-possible minimum codegree condition for the existence of a perfect tiling of a $3$ -uniform hypergraph $H$ with copies of the generalised triangle $T$ , which is…