arXiv subjects

Nathaniel Benjamin

Publications and source records attributed to Nathaniel Benjamin.

2 recordsLinked to original sources

arXiv2025

The Edge-Distinguishing Game

In this paper, we introduce a graph coloring game called the Edge-Distinguishing Game (EDGe). The edge-distinguishing chromatic number of a graph is used to determine the moves each player can make. We determine which player has a winning strategy for particular graphs and graph families. Additionally, utilizing principles from game theory as well as previous work on a computational solution for the Game of Cycles.

math.CO↗

arXiv2024

Association schemes obtained from the action of the general unitary group on isotropic vectors

An infinite family of association schemes obtained from the general unitary groups acting transitively on the sets of isotropic vectors in the finite unitary spaces are investigated. We compute the parameters and determine the character tables for all nontrivial commutative association schemes belonging to this family.

math.CO↗