Phillip Marmorino

activity

20242026

collaborators

3 papers

math.DG2026

Genus three embedded doubly periodic minimal surfaces with parallel ends

Peter Connor, Shoichi Fujimori, Phillip Marmorino +1

We construct a one-parameter family of embedded doubly periodic minimal surfaces of genus three with four parallel ends. The Weierstrass data for each surface of the family are giv…

math.CO2025

Hoffman-London graphs: When paths minimize $H$ -colorings among trees

David Galvin, Phillip Marmorino, Emily McMillon +2

Given a graph $G$ and a target graph $H$ , an $H$ -coloring of $G$ is an adjacency-preserving vertex map from $G$ to $H$ . The number of $H$ -colorings of $G$ , $hom (G, H)$ , has been st…

math.CO2024

Counting independent sets in regular graphs with bounded independence number

David Galvin, Phillip Marmorino

An $n$ -vertex, $d$ -regular graph can have at most $2^{n /2 + o_{d} (n)}$ independent sets. In this paper we address what happens with this upper bound when we impose the further conditio…

Genus three embedded doubly periodic minimal surfaces with parallel ends

Hoffman-London graphs: When paths minimize H-colorings among trees

Counting independent sets in regular graphs with bounded independence number

Hoffman-London graphs: When paths minimize $H$ -colorings among trees