Asymptotic formula on average path length in a hierarchical scale-free network with fractal structure

Qian Zhang; Yumei Xue; Daohua Wang; Min Niu

doi:10.1016/j.chaos.2019.03.021

Asymptotic formula on average path length in a hierarchical scale-free network with fractal structure

Qian Zhang
, Yumei Xue^*
, Daohua Wang
, Min Niu

^*Corresponding author for this work

School of Mathematical Sciences

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

41 Scopus citations

Abstract

In this paper, we study a hierarchical scale-free network with special fractal structure. We study the average path length and associate the average path length with the symbol length. Then using a recursive method, we obtain the asymptotic formula for average path length of our networks.

Original language	English
Pages (from-to)	196-201
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	122
DOIs	https://doi.org/10.1016/j.chaos.2019.03.021
State	Published - May 2019

Keywords

Asymptotic formula
Average path
Fractal
Hierarchical
Network

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10.1016/j.chaos.2019.03.021

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title = "Asymptotic formula on average path length in a hierarchical scale-free network with fractal structure",

abstract = "In this paper, we study a hierarchical scale-free network with special fractal structure. We study the average path length and associate the average path length with the symbol length. Then using a recursive method, we obtain the asymptotic formula for average path length of our networks.",

keywords = "Asymptotic formula, Average path, Fractal, Hierarchical, Network",

author = "Qian Zhang and Yumei Xue and Daohua Wang and Min Niu",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2019",

month = may,

doi = "10.1016/j.chaos.2019.03.021",

language = "英语",

volume = "122",

pages = "196--201",

journal = "Chaos, Solitons and Fractals",

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T1 - Asymptotic formula on average path length in a hierarchical scale-free network with fractal structure

AU - Zhang, Qian

AU - Xue, Yumei

AU - Wang, Daohua

AU - Niu, Min

PY - 2019/5

Y1 - 2019/5

N2 - In this paper, we study a hierarchical scale-free network with special fractal structure. We study the average path length and associate the average path length with the symbol length. Then using a recursive method, we obtain the asymptotic formula for average path length of our networks.

AB - In this paper, we study a hierarchical scale-free network with special fractal structure. We study the average path length and associate the average path length with the symbol length. Then using a recursive method, we obtain the asymptotic formula for average path length of our networks.

KW - Asymptotic formula

KW - Average path

KW - Fractal

KW - Hierarchical

KW - Network

UR - https://www.scopus.com/pages/publications/85063402797

U2 - 10.1016/j.chaos.2019.03.021

DO - 10.1016/j.chaos.2019.03.021

M3 - 文章

AN - SCOPUS:85063402797

SN - 0960-0779

VL - 122

SP - 196

EP - 201

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

Asymptotic formula on average path length in a hierarchical scale-free network with fractal structure

Abstract

Keywords

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