Complex networks on hyperbolic surfaces

被引：92

作者：

Aste, T ^{[1
]}

Di Matteo, T ^{[1
]}

Hyde, ST ^{[1
]}

机构：

[1] Australian Natl Univ, Res Sch Phys Sci, Canberra, ACT 0200, Australia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 346卷 / 1-2期

关键词：

networks; complex systems; hyperbolic graphs; econophysics;

D O I：

10.1016/j.physa.2004.08.045

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We explore a novel method to generate and characterize complex networks by means of their embedding on hyperbolic surfaces. Evolution through local elementary moves allows the exploration of the ensemble of networks which share common embeddings and consequently share similar hierarchical properties. This method provides a new perspective to classify network-complexity both on local and global scale. We demonstrate by means of. several examples that there is a strong relation between the network properties and the embedding surface. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：20 / 26

页数：7

共 50 条

[21] Optimisation of the coalescent hyperbolic embedding of complex networks
Kovacs, Bianka
Palla, Gergely
SCIENTIFIC REPORTS, 2021, 11 (01)
[22] Robustness surfaces of complex networks
Marc Manzano
Faryad Sahneh
Caterina Scoglio
Eusebi Calle
Jose Luis Marzo
Scientific Reports, 4
[23] Robustness surfaces of complex networks
Manzano, Marc
Sahneh, Faryad
Scoglio, Caterina
Calle, Eusebi
Luis Marzo, Jose
SCIENTIFIC REPORTS, 2014, 4
[24] Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes
Chen, BY
MATHEMATISCHE NACHRICHTEN, 2005, 278 (11) : 1242 - 1281
[25] A sharp cusp count for complex hyperbolic surfaces and related results
Di Cerbo, Gabriele
Di Cerbo, Luca F.
ARCHIV DER MATHEMATIK, 2014, 103 (01) : 75 - 84
[26] Classification of Lagrangian surfaces of constant curvature in complex hyperbolic plane
Chen, BY
JOURNAL OF GEOMETRY AND PHYSICS, 2005, 55 (04) : 399 - 439
[27] Maps between complex hyperbolic surfaces - In memory of Hanna Sandler
Toledo, D
GEOMETRIAE DEDICATA, 2003, 97 (01) : 115 - 128
[28] TWISTER HOLOMORPHIC LAGRANGIAN SURFACES IN THE COMPLEX PROJECTIVE AND HYPERBOLIC PLANES
CASTRO, I
URBANO, F
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1995, 13 (01) : 59 - 67
[29] A sharp cusp count for complex hyperbolic surfaces and related results
Gabriele Di Cerbo
Luca F. Di Cerbo
Archiv der Mathematik, 2014, 103 : 75 - 84
[30] Hyperbolic mapping of complex networks based on community information
Wang, Zuxi
Li, Qingguang
Jin, Fengdong
Xiong, Wei
Wu, Yao
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 455 : 104 - 119

← 1 2 3 4 5 →