David E. Brown

activity

20162020

collaborators

3 papers

math.CO2020

(2,3) Cordial Trees and Paths

Manuel Santana, Jonathan Mousley, David Brown +1

Recently L. B. Beasley introduced $(2, 3)$ -cordial labelings of directed graphs in [1]. He made two conjectures which we resolve in this article. He conjectured that every orientati…

math.CO2019

Entropy of Tournament Digraphs

David E. Brown, Eric Culver, Bryce Frederickson +2

The Rényi $α$ -entropy $H_{α}$ of complete antisymmetric directed graphs (i.e., tournaments) is explored. We optimize $H_{α}$ when $α = 2$ and $3$ , and find that as $α$ increases $H_{α}$ 's…

math.CO2016

Interval k-Graphs and Orders

David E. Brown, Breeann M. Flesch, Larry J. Langley

An interval $k$ -graph is the intersection graph of a family $I$ of intervals of the real line partitioned into at most $k$ classes with vertices adjacent if and only if t…