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Mathematics
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Mathematical Models and Applications of Complex Networks
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Mathematical Models and Applications of Complex Networks

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: closed (31 January 2024) | Viewed by 3033

Special Issue Editor

Prof. Dr. Minggang Wang

E-Mail Website
Guest Editor
School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
Interests: complex network; time series analysis and energy economics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Complex networks describe a wide range of systems in nature and society. Frequently cited examples include the cell, a network of chemicals linked by chemical reactions, and the Internet, a network of routers and computers connected by physical links. All the systems in the real world involving the interaction between entities can be abstracted as complex networks. The interpretation of the characteristics of real networks makes complex networks become one of the research hotspots in multi-disciplinary fields. At present, complex network research is penetrating into different fields such as mathematical science, biological science and engineering science. Scientific explanation of the qualitative and quantitative characteristics of complex network has become an extremely important challenge in the study of network age.

Therefore, this Special Issue will accept unpublished original papers and comprehensive reviews focused on, but not restricted to, the following research areas:

1）Statistical mechanics of complex networks

2）Evolution mechanics of complex networks

3）Complex network analysis of time series

4）Link predictability of complex networks

5）Complex dynamical networks: Modelling, synchronization and control

6）Machine learning in complex networks: Theory, model and algorithm

7)  Complex network analysis algorithm and application

Prof. Dr. Minggang Wang
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • complex network
  • mathematical models
  • statistical mechanics
  • network topology
  • application analysis

Published Papers (2 papers)

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Research

8 pages, 870 KiB  
Article
The Uniform Convergence Property of Sequence of Fractal Interpolation Functions in Complicated Networks
by Xuezai Pan and Xudong Shang
Mathematics 2022, 10(20), 3834; https://doi.org/10.3390/math10203834 - 17 Oct 2022
Cited by 1 | Viewed by 921
Abstract
In order to further research the relationship between fractals and complicated networks in terms of self-similarity, the uniform convergence property of the sequence of fractal interpolation functions which can generate self-similar graphics through iterated function system defined by affine transformation is studied in [...] Read more.
In order to further research the relationship between fractals and complicated networks in terms of self-similarity, the uniform convergence property of the sequence of fractal interpolation functions which can generate self-similar graphics through iterated function system defined by affine transformation is studied in this paper. The result illustrates that it is can be proved that the sequence of fractal interpolation functions uniformly converges to its limit function and its limit function is continuous and integrable over a closed interval under the uniformly convergent condition of the sequence of fractal interpolation functions. The following two conclusions can be indicated. First, both the number sequence limit operation of the sequence of fractal interpolation functions and the function limit operation of its limit function are exchangeable over a closed interval. Second, the two operations of limit and integral between the sequence of fractal interpolation functions and its limit function are exchangeable over a closed interval. Full article
(This article belongs to the Special Issue Mathematical Models and Applications of Complex Networks)
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23 pages, 4583 KiB  
Article
Dynamic Linkages among Carbon, Energy and Financial Markets: Multiplex Recurrence Network Approach
by Minggang Wang, Chenyu Hua and Hua Xu
Mathematics 2022, 10(11), 1829; https://doi.org/10.3390/math10111829 - 26 May 2022
Cited by 3 | Viewed by 1399
Abstract
It has become a hot issue to integrate the carbon market, energy market, and financial market into one system and explore the relationship among them. Considering that the carbon market, energy market, and financial market all have chaotic characteristics to varying degrees, this [...] Read more.
It has become a hot issue to integrate the carbon market, energy market, and financial market into one system and explore the relationship among them. Considering that the carbon market, energy market, and financial market all have chaotic characteristics to varying degrees, this paper proposes a theoretical framework to study the linkage relationship among the three markets on the basis of the method of the Multiplex recurrence network. Firstly, we built a multiplex recurrence network of carbon-energy-financial market. Then, based on the connection relationship among nodes of the recurrence network of each market, the degree distribution of nodes of each market, and the information entropy theory, we put forward several metric indicators to explore the correlativity and mutual guidance relation among carbon market, energy market and financial market from micro and macro perspectives. Using the data generated by the deterministic system, the effectiveness of the defined index was confirmed by numerical simulation. The empirical analysis of the carbon market, energy market, and financial market revealed the evolution process of the increasingly close connection between the three markets, and we found that the carbon market plays an increasingly important role in the world capital market system. Based on the research results, we propose some suggestions for market decision-makers, enterprises, and investors. Full article
(This article belongs to the Special Issue Mathematical Models and Applications of Complex Networks)
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