Frank B. Herr

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math.CO2022

Iterated Jump Graphs

Fran Herr, Legrand Jones

The jump graph $J (G)$ of a simple graph $G$ has vertices which represent edges in $G$ where two vertices in $J (G)$ are adjacent if and only if the corresponding edges in $G$ do not…

math.CO2021

A characterization of two-dimensional Buchsbaum matching complexes

Bennet Goeckner, Fran Herr, Legrand Jones +1

The matching complex $M (G)$ of a graph $G$ is the set of all matchings in $G$ . A Buchsbaum simplicial complex is a generalization of both a homology manifold and a Cohen--Macaulay…