FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS-Reference-Cited by-同舟云学术

FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS

Published:2023-01 Issue:09 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG WENJIE¹^ORCID,LIANG XIANGYU¹^ORCID,ZENG CHENG²^ORCID,XUE YUMEI¹^ORCID,PENG LULU¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Beihang University, Beijing 10083, P. R. China

2. School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, Shandong Province 264003, P. R. China

Abstract

In this paper, we study Vicsek polygons and extended Vicsek networks, which are an extension of Vicsek fractal. Our research indices are some Fermat-type indices, including the Fermat eccentricity and the Fermat eccentric distance sum. Fermat-type indices are novel graph invariants with vast potential in research on structure–activity and quantitative structure–property. By the approach of finite pattern, we solve some integrals to gain their asymptotic formulas on Fermat eccentricity and Fermat eccentric distance sum.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X23501001

Reference31 articles.

1. Geometric Methods and Optimization Problems

2. The Steiner tree problem

3. On the Steiner median of a tree

4. Steiner distance in graphs

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