Two-point resistances in a family of self-similar (x, y)-flower networks

被引：8

作者：

Shangguan, Yingmin ^{[1
]}

Chen, Haiyan ^{[1
]}

机构：

[1] Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 523卷

基金：

中国国家自然科学基金;

关键词：

Two-point resistance; Self-similar network; (x; y)-flowers; DISTANCES;

D O I：

10.1016/j.physa.2019.02.008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The computation of resistance between two nodes in networks is a fundamental problem in both electric theory and graph theory. In this paper, first, a recursive algorithm for computing resistance between any two nodes in a family of self-similar (x, y)-flower networks is given. The (x, y)-flower networks display rich behavior as observed in a large variety of real systems. Then as explanations, using the algorithm, explicit expressions for some resistances in (1, 3)-flower networks and (2, 2)-flower networks are obtained. (C) 2019 Published by Elsevier B.V.

引用

页码：382 / 391

页数：10

共 50 条

[41] DEGREES IN RANDOM SELF-SIMILAR BIPOLAR NETWORKS
Chen, Chen
Mahmoud, Hosam
[J]. JOURNAL OF APPLIED PROBABILITY, 2016, 53 (02) : 434 - 447
[42] Cooperation through Self-Similar Social Networks
Allen, Stuart M.
Colombo, Gualtiero
Whitaker, Roger M.
[J]. ACM TRANSACTIONS ON AUTONOMOUS AND ADAPTIVE SYSTEMS, 2010, 5 (01)
[43] SELF-SIMILAR TOUCHING NETWORKS - PART II
Fan, Jiaqi
Xi, Lifeng
Zhao, Bing
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)
[44] SELF-SIMILAR TOUCHING NETWORKS - PART I
Bao, Hongwei
Xi, Lifeng
Zhao, Bing
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)
[45] Dynamics and processing in finite self-similar networks
DeDeo, Simon
Krakauer, David C.
[J]. JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2012, 9 (74) : 2131 - 2144
[46] The Two-Point Resistance of Fan Networks
Izmailian, N. Sh.
Kenna, R.
[J]. CHINESE JOURNAL OF PHYSICS, 2015, 53 (02)
[47] The point density measure in the quantization of self-similar probabilities
Graf, S
Luschgy, H
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2005, 138 : 513 - 531
[48] A self-similar point process through fractal construction
Krishnam, MA
Venkatachalam, A
Capone, JM
[J]. NETWORKING 2000, 2000, 1815 : 252 - 263
[49] Self-similar solutions for the triple point paradox in gasdynamics
Tesdall, Allen M.
Sanders, Richard
Keyfitz, Barbara L.
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2008, 68 (05) : 1360 - 1377
[50] Self-similar sets satisfying the common point property
Sirvent, Victor F.
[J]. CHAOS SOLITONS & FRACTALS, 2014, 69 : 117 - 128

← 1 2 3 4 5 →