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20122024
most citedPolychromatic colorings of complete graphs with respect to 1-,2-factors and Hamiltonian cycles

5 citations · 9 across the 8 of their papers we have counts for

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math.CO2024

On hypercube statistics

Noga Alon, Maria Axenovich, John Goldwasser

Let and be nonnegative integers. For a subset of vertices of the hypercube and , let denote the fraction of subcubes o…

math.CO2022

Inducibility in the hypercube

John Goldwasser, Ryan Hansen

Let be the hypercube of dimension and let and be subsets of the vertex set , called configurations in . We say that is an \emph{exact copy} of $H…

math.CO2020

Maximum density of vertex-induced perfect cycles and paths in the hypercube

John Goldwasser, Ryan Hansen

Let and be subsets of the vertex set of the -cube (we call and configurations in ). We say is an \emph{exact copy} of if there is an…

math.CO2020

Polychromatic colorings of 1-regular and 2-regular subgraphs of complete graphs

John Goldwasser, Ryan Hansen

If is a graph and is a set of subgraphs of , we say that an edge-coloring of is -polychromatic if every graph from gets all colo…

math.CO2020

The Polychromatic Number of Small Subsets of the Integers Modulo

Emelie Curl, John Goldwasser, Joe Sampson +1

If is a subset of an abelian group , the polychromatic number of in is the largest integer so that there is a coloring of the elements of such that every…

math.CO2017★ 4 cited

Polychromatic Colorings on the Integers

Maria Axenovich, John Goldwasser, Bernard Lidický +4

We show that for any set , there exists a 3-coloring of in which every translate of receives all three colors. This implies that …