J. Goldwasser

activity

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

collaborators

9 papers

math.CO2024

On hypercube statistics

Noga Alon, Maria Axenovich, John Goldwasser

Let $d \geq 1$ and $s \leq 2^{d}$ be nonnegative integers. For a subset $A$ of vertices of the hypercube $Q_{n}$ and $n \geq d$ , let $λ (n, d, s, A)$ denote the fraction of subcubes $Q_{d}$ o…

math.CO2022

Inducibility in the hypercube

John Goldwasser, Ryan Hansen

Let $Q_{d}$ be the hypercube of dimension $d$ and let $H$ and $K$ be subsets of the vertex set $V (Q_{d})$ , called configurations in $Q_{d}$ . We say that $K$ 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 $H$ and $K$ be subsets of the vertex set $V (Q_{d})$ of the $d$ -cube $Q_{d}$ (we call $H$ and $K$ configurations in $Q_{d}$ ). We say $K$ is an \emph{exact copy} of $H$ if there is an…

math.CO2020

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

John Goldwasser, Ryan Hansen

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

math.CO2020

The Polychromatic Number of Small Subsets of the Integers Modulo $n$

Emelie Curl, John Goldwasser, Joe Sampson +1

If $S$ is a subset of an abelian group $G$ , the polychromatic number of $S$ in $G$ is the largest integer $k$ so that there is a $k -$ coloring of the elements of $G$ 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 $S \subseteq Z$ , $∣ S ∣ = 4$ there exists a 3-coloring of $Z$ in which every translate of $S$ receives all three colors. This implies that $S$ …

On hypercube statistics

Inducibility in the hypercube

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

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

The Polychromatic Number of Small Subsets of the Integers Modulo n

Polychromatic Colorings on the Integers

The Polychromatic Number of Small Subsets of the Integers Modulo $n$