论文标题
定向的Riordan图及其分形特性
Oriented Riordan graphs and their fractal property
论文作者
论文摘要
在本文中，我们使用Riordan矩阵理论介绍了定向的Riordan图的概念。面向的Riordan图是对众所周知且研究良好的面向托管图和锦标赛的深远概括。本文的主要重点是研究定向的Riordan图的结构特性，其中包括基本分解定理和分形特性。最后，我们介绍了被称为$ p $ -Riordan图的定向Riordan图的概括。
In this paper, we use the theory of Riordan matrices to introduce the notion of an oriented Riordan graph. The oriented Riordan graphs are a far-reaching generalization of the well known and well studied Toeplitz oriented graphs and tournament. The main focus in this paper is the study of structural properties of the oriented Riordan graphs which includes a fundamental decomposition theorem and fractal property. Finally, we introduce the generalization of the oriented Riordan graph who is called a $p$-Riordan graph.
