定向Riordan图及其分形性质
Oriented Riordan graphs and their fractal property
摘要：
本文利用Riordan矩阵的理论引入了定向Riordan图的概念。定向Riordan图是著名的Toeplitz定向图和竞赛图的广泛推广。本文主要研究定向Riordan图的结构性质，包括基本分解定理和分形性质。最后，我们给出了有向Riordan图的推广，称之为$p$ -Riordan图。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
