Patrick Bennett

activity

20122026

most citedAdding random edges to create the square of a Hamilton cycle

12 citations · 15 across the 11 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.CO2024

The generalized Ramsey number $f (n, 5, 8) = \frac{6}{7} n + o (n)$

Patrick Bennett, Ryan Cushman, Andrzej Dudek

A $(p, q)$ -coloring of $K_{n}$ is a coloring of the edges of $K_{n}$ such that every $p$ -clique has at least $q$ distinct colors among its edges. The generalized Ramsey number $f(n, p,…

math.CO2024

Generalized Ramsey numbers of cycles, paths, and hypergraphs

Deepak Bal, Patrick Bennett, Emily Heath +1

Given a $k$ -uniform hypergraph $G$ and a set of $k$ -uniform hypergraphs $H$ , the generalized Ramsey number $f (G, H, q)$ is the minimum number of colors needed to…

The generalized Ramsey number f(n,5,8)=76​n+o(n)

Generalized Ramsey numbers of cycles, paths, and hypergraphs

The generalized Ramsey number $f (n, 5, 8) = \frac{6}{7} n + o (n)$