| Full text | |
| Author(s): |
Peron, Thomas K. D. M.
[1]
;
Ji, Peng
[2]
;
Kurths, Juergen
[3, 4]
;
Rodrigues, Francisco A.
[1, 5, 6]
Total Authors: 4
|
| Affiliation: | [1] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil
[2] Fudan Univ, Inst Sci & Technol Brain Inspired Intelligence, Shanghai 200433 - Peoples R China
[3] Potsdam Inst Climate Impact Res PIK, D-14473 Potsdam - Germany
[4] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany
[5] Univ Warwick, Ctr Complex Sci, Coventry CV4 7AL, W Midlands - England
[6] Univ Warwick, Math Inst, Gibbet Hill Rd, Coventry CV4 7AL, W Midlands - England
Total Affiliations: 6
|
| Document type: | Journal article |
| Source: | EPL; v. 121, n. 6 MAR 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
The asymptotic behavior of dynamical processes in networks can be expressed as a function of spectral properties of the corresponding adjacency and Laplacian matrices. Although many theoretical results are known for the spectra of traditional configuration models, networks generated through these models fail to describe many topological features of real-world networks, in particular non-null values of the clustering coefficient. Here we study effects of cycles of order three (triangles) in network spectra. By using recent advances in random matrix theory, we determine the spectral distribution of the network adjacency matrix as a function of the average number of triangles attached to each node for networks without modular structure and degree-degree correlations. Implications to network dynamics are discussed. Our findings can shed light in the study of how particular kinds of subgraphs influence network dynamics. Copyright (C) EPLA, 2018 (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 16/23827-6 - Analysis of epidemic and synchronization processes in complex networks |
| Grantee: | Thomas Kaue Dal Maso Peron |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 16/25682-5 - Information spreading in complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Regular Research Grants |