5 citations · 6 across the 6 of their papers we have counts for
5 papers · 1 filter
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 -uniform hypergraph to a given graph, bounding cliques in a pr…
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 vertices blue in an r-uniform hyperpath of size while avoiding a blue monochromatic sub-hyperpath of length k…
Constructive Methods in Gallai-Ramsey Theory for Hypergraphs
Mark Budden, Joshua Hiller, Andrew Penland
Much recent progress in hypergraph Ramsey theory has focused on constructions that lead to lower bounds for the corresponding Ramsey numbers. In this paper, we consider application…
Minimally Connected Hypergraphs
Mark Budden, Josh Hiller, Andrew Penland
Graphs and hypergraphs are foundational structures in discrete mathematics. They have many practical applications, including the rapidly developing field of bioinformatics, and mor…
A short note on the order of the Zhang-Liu matrices over arbitrary fields
Leo Betthauser, Josh Hiller
We give necessary and sufficient conditions for the Zhang-Liu matrices to be diagonalizable over arbitrary fields and provide the eigen-decomposition when it is possible. We use th…