Lawrence Hollom

activity

20232026

most citedOn interval colourings of graphs

1 citations · 1 across the 20 of their papers we have counts for

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math.CO2026

The structure of FAC posets and the Aharoni--Korman conjecture

Lawrence Hollom

A poset $P$ is said to satisfy the finite antichain condition, or FAC for short, if it has no infinite antichain. Such posets exhibit rich and complex structure, and it was conject…

math.CO2026

Hypercube geodesics with few colour changes

Lawrence Hollom

What is the maximum, over all 2-colourings of the edges of the $n$ -dimensional hypercube $Q_{n}$ , of the minimal number of times a path between a vertex $v$ and its antipode $\bar{v}…

math.CO2026

Uniformly balanced $H$ -factors in multicoloured complete graphs

Agnijo Banerjee, Lawrence Hollom

A balanced colouring of a graph is one in which every colour appears the same number of times. Given a fixed graph $H$ on $r$ vertices and a balanced $k$ -colouring of the complete…

The structure of FAC posets and the Aharoni--Korman conjecture

Hypercube geodesics with few colour changes

Uniformly balanced H-factors in multicoloured complete graphs

Uniformly balanced $H$ -factors in multicoloured complete graphs