论文标题
普通图代数
A Normal Graph Algebra
论文作者
论文摘要
我们定义了一个在遗传学中使用的代数模型的正常图代数。尽管代数并不总是确定其图，但它通常突出显示特殊功能。在开发代数的基本特性之后，我们检查了某些最小图的基本特性。然后，我们将结果应用于Petersen图，发现其许多方面之间的连接。例如，Sym（6）的外部自动形态自然出现。彼得森图的正常代数在正常图代数中是独特的。
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.
