2022/01/02 by Harold N. Ward, Ward, Harold N.
Computer Science · Mathematics · #05C25 #05C50 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph Labeling and Dimension Problems #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2201.00389
openalex publication_date 2022/01/02 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
We define a normal graph algebra modeled on algebras used in genetics. Although the algebra does not always determine its graph, it often highlights special features. After developing basic properties of the algebra, we examine those of certain minimal graphs. We then apply the results to the Petersen graph, finding connections between some of its many aspects. For example, the outer automorphisms of Sym(6) emerge naturally. The normal algebra of the Petersen graph is unique among normal graph algebras.