FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS

Wenjie Wang; Xiangyu Liang; Cheng Zeng; Yumei Xue; Lulu Peng

doi:10.1142/S0218348X23501001

FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS

Wenjie Wang
, Xiangyu Liang
, Cheng Zeng^*
, Yumei Xue
, Lulu Peng

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	2350100
Journal	Fractals
Volume	31
Issue number	9
DOIs	https://doi.org/10.1142/S0218348X23501001
State	Published - 2023

Keywords

Extended Vicsek Networks
Fermat Eccentric Distance Sum
Fermat Eccentricity
Finite Pattern
Vicsek Polygon

Access to Document

10.1142/S0218348X23501001

Cite this

@article{0466be7c3c444721ac5bb7fa6165b14a,

title = "FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS",

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.",

keywords = "Extended Vicsek Networks, Fermat Eccentric Distance Sum, Fermat Eccentricity, Finite Pattern, Vicsek Polygon",

author = "Wenjie Wang and Xiangyu Liang and Cheng Zeng and Yumei Xue and Lulu Peng",

note = "Publisher Copyright: {\textcopyright} World Scientific Publishing Company.",

year = "2023",

doi = "10.1142/S0218348X23501001",

language = "英语",

volume = "31",

journal = "Fractals",

issn = "0218-348X",

publisher = "World Scientific",

number = "9",

}

TY - JOUR

T1 - FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS

AU - Wang, Wenjie

AU - Liang, Xiangyu

AU - Zeng, Cheng

AU - Xue, Yumei

AU - Peng, Lulu

N1 - Publisher Copyright: © World Scientific Publishing Company.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Extended Vicsek Networks

KW - Fermat Eccentric Distance Sum

KW - Fermat Eccentricity

KW - Finite Pattern

KW - Vicsek Polygon

UR - https://www.scopus.com/pages/publications/85174826047

U2 - 10.1142/S0218348X23501001

DO - 10.1142/S0218348X23501001

M3 - 文章

AN - SCOPUS:85174826047

SN - 0218-348X

VL - 31

JO - Fractals

JF - Fractals

IS - 9

M1 - 2350100

ER -

FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS

Abstract

Keywords

Access to Document

Other files and links

Cite this