Number of Loops in Elastic Scale-Free Networks

被引：0

作者：

Shergin, Vadym ^{[1
]}

Chala, Larysa ^{[1
]}

Udovenko, Serhii ^{[2
]}

机构：

[1] Kharkiv Natl Nivers Radio Elect, Kharkov, Ukraine

[2] Simon Kuznets Kharkiv Natl Univ Econ, Kharkov, Ukraine

来源：

2018 INTERNATIONAL SCIENTIFIC-PRACTICAL CONFERENCE: PROBLEMS OF INFOCOMMUNICATIONS SCIENCE AND TECHNOLOGY (PIC S&T) | 2018年

关键词：

scale-free network; elasticity; loops; scaling; graph density; preferential linking;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Model of scale-free networks with non-unit elasticity has been investigated. Applying the concept of non-unit elasticity, i.e. the concept of different relative growth rates for links and nodes, makes it possible to generate scale-free models for dense networks. An analytic expression for the number of loops as a function of network size has been found. As it was shown, the number of loops follows a power law with scaling factor linearly depends on elasticity factor. Numerical simulation was made and numerical results are in accordance with analytic ones.

引用

页码：323 / 326

页数：4

共 50 条

[21] Modeling belief systems with scale-free networks
Antal, Miklos
Balogh, Laszlo
NEURAL NETWORKS, 2009, 22 (10) : 1359 - 1371
[22] Structural Fault Tolerance of Scale-Free Networks
Hao, Jingbo
Yin, Jianping
Zhang, Boyun
Tsinghua Science and Technology, 2007, 12 (SUPPL. 1): : 246 - 249
[23] Cascading toppling dynamics on scale-free networks
Goh, KI
Lee, DS
Kahng, B
Kim, D
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 346 (1-2) : 93 - 103
[24] Sandpile avalanche dynamics on scale-free networks
Lee, DS
Goh, KI
Kahng, B
Kim, D
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 338 (1-2) : 84 - 91
[25] The Agreement Problem in Unreliable Scale-Free Networks
Yan, Kuo-Qin
Wang, Shun-Sheng
Wang, Shu-Ching
COMPUTER JOURNAL, 2009, 52 (04) : 499 - 509
[26] ESUMM: Event SUMMarization on Scale-Free Networks
Kumar, Krishan
Shrimankar, Deepti D.
IETE TECHNICAL REVIEW, 2019, 36 (03) : 265 - 274
[27] Simplex triangulation induced scale-free networks
Gu, Zhi-Ming
Zhou, Tao
Wang, Bing-Hong
Yan, Gang
Zhu, Chen-Ping
Fu, Zhong-Qian
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 (3-4): : 505 - 510
[28] EFFICIENT ROUTING STRATEGY ON SCALE-FREE NETWORKS
Yu, Gang
Wang, Xian-Peng
Lu, Hong-Tao
MODERN PHYSICS LETTERS B, 2009, 23 (11): : 1377 - 1389
[29] Analysis of a Local Routing in Scale-free Networks
Wang, Dan
Li, Beilei
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 1936 - 1939
[30] Modeling of cyclic topology in scale-free networks
Kim, Hyun-Joo
Choi, Yeon-Mu
MODERN PHYSICS LETTERS B, 2006, 20 (23): : 1489 - 1496

← 1 2 3 4 5 →