Tom Kelly

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20232025

most citedSubsquares in random Latin squares and rectangles

2 citations · 3 across the 3 of their papers we have counts for

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math.CO2025★ 1 cited

Entropy Bounds for Perfect Matchings in Bipartite Hypergraphs

Tantan Dai, Alexander Divoux, Tom Kelly

A hypergraph is \textit{bipartite with bipartition $(A, B)$ } if every edge has exactly one vertex in $A$ , and a matching in such a hypergraph is \textit{ $A$ -perfect} if it saturate…

math.CO2024

On the existence of reflecting $n$ -queens configurations

Tantan Dai, Tom Kelly

In 1967, Klarner proposed a problem concerning the existence of reflecting $n$ -queens configurations. The problem considers the feasibility of placing $n$ mutually non-attacking qu…

math.CO2023★ 2 cited

Subsquares in random Latin squares and rectangles

Alexander Divoux, Tom Kelly, Camille Kennedy +1

A $k \times n$ partial Latin rectangle is \textit{ $C$ -sparse} if the number of nonempty entries in each row and column is at most $C$ and each symbol is used at most $C$ times. We…

Entropy Bounds for Perfect Matchings in Bipartite Hypergraphs

On the existence of reflecting n-queens configurations

Subsquares in random Latin squares and rectangles

On the existence of reflecting $n$ -queens configurations