Affiliation:
1. College of Big Data and Internet, Shenzhen Technology University, Shenzhen 518118, P. R. China
2. Department of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, P. R. China
Abstract
Given [Formula: see text], we study the Assouad dimension and weak tangents of closed [Formula: see text]-popcorn graphs. For all [Formula: see text], we prove that [Formula: see text] is a weak tangent of the closed [Formula: see text]-popcorn graphs by using some arguments on prime numbers. For all [Formula: see text], we first show that the Assouad dimension of the closed [Formula: see text]-popcorn graphs is 1, and then prove that [Formula: see text] is a weak tangent of them. We also discuss some specific weak tangents of closed [Formula: see text]-popcorn graphs when [Formula: see text] and [Formula: see text].
Funder
National Natural Science Foundation of China
Natural Science Foundation of Guangdong Province
Fundamental Research Funds for Central Universities of the Central South University
Science, Technology and Innovation Commission of Shenzhen Municipality
China Scholarship Council
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation