2 papers
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 -uniform hypergraph to a given graph, bounding cliques in a pr…
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 vertices blue in an r-uniform hyperpath of size while avoiding a blue monochromatic sub-hyperpath of length k…