Josh Hiller

activity

20172020

most citedConstructive Methods in Gallai-Ramsey Theory for Hypergraphs

5 citations · 6 across the 6 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.CO2020

Algebraic Properties of a Hypergraph Lifting Map

Mark Budden, Josh Hiller, Tommy Meek +1

Recent work in hypergraph Ramsey theory has involved the introduction of a "lifting map" that associates a certain $3$ -uniform hypergraph to a given graph, bounding cliques in a pr…

math.GR2020

Groups that have a Partition by Commuting Subsets

Tuval Foguel, Josh Hiller, Mark L. Lewis +1

Let $G$ be a nonabelian group. We say that $G$ has an abelian partition, if there exists a partition of $G$ into commuting subsets $A_{1}, A_{2}, \dots, A_{n}$ of $G$ , such that $|A_i|\…

math.CO2020

Avoiding monochromatic sub-paths in uniform hypergraph paths and cycles

W. Zane Billings, Justin Clifton, Josh Hiller +6

We present a recursive formula for the number of ways to color $j$ vertices blue in an r-uniform hyperpath of size $n$ while avoiding a blue monochromatic sub-hyperpath of length k…