# Complex Networks: Structure and Dynamics

@inproceedings{Chakravartula2014ComplexNS, title={Complex Networks: Structure and Dynamics}, author={Shilpa Chakravartula}, year={2014} }

Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highly interconnected dynamical units. The first approach to capture the global properties of such systems is to model them as graphs whose nodes represent the dynamical units, and whose links stand for the interactions between them. On the one hand, scientists have to cope with structural issues, such as…

No Paper Link Available

## Figures, Tables, and Topics from this paper

figure 2.1 table 2.1 figure 2.10 figure 2.11 figure 2.12 figure 2.13 figure 2.2 figure 2.3 figure 2.4 figure 2.5 figure 2.6 figure 2.7 figure 2.8 figure 2.9 figure 3.1 figure 3.2 figure 3.3 figure 3.4 figure 3.5 figure 3.6 figure 5.1 figure 5.2 figure 5.3 figure 5.4 figure 5.5 figure 5.6 figure 6.1 table 6.1 figure 6.10 figure 6.11 figure 6.2 table 6.2 figure 6.3 table 6.3 figure 6.4 table 6.4 figure 6.5 figure 6.6 figure 6.7 figure 6.8 figure 6.9 figure 7.1 figure 7.2 figure 7.3 figure 7.4 figure 7.5 figure 7.6 figure 7.7 figure 7.8 figure 7.9

## 1,813 Citations

A Review on Graphical Models of Complex Network

- 2017

:Complex networks describe a wide range of systems in nature and society.The complex network study is a relatively recent field, and it has been inspired by the observation of many real systems, such…

The diminishing role of hubs in dynamical processes on complex networks

- Computer Science, MathematicsJournal of The Royal Society Interface
- 2013

Information-theoretical methods to distinguish the contribution of each individual unit to the collective out-of-equilibrium dynamics are developed and it is shown that for a system of units connected by a network of interaction potentials with an arbitrary degree distribution, highly connected units have less impact on the system dynamics when compared with intermediately connected units.

The structure and dynamics of multilayer networks

- Computer Science, PhysicsPhysics Reports
- 2014

This work offers a comprehensive review on both structural and dynamical organization of graphs made of diverse relationships (layers) between its constituents, and cover several relevant issues, from a full redefinition of the basic structural measures, to understanding how the multilayer nature of the network affects processes and dynamics.

Topological Strata of Weighted Complex Networks

- Computer Science, PhysicsPloS one
- 2013

This work introduces a novel method, based on persistent homology, to detect particular non-local structures, akin to weighted holes within the link-weight network fabric, which are invisible to existing methods and creates the first bridge between network theory and algebraic topology, which will allow to import the toolset of algebraic methods to complex systems.

Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization.

- Medicine, Computer ScienceChaos
- 2020

A measure of phase dispersion that quantifies the functional response of the system to a given local perturbation, and defines a characteristic of the node, its functionability, that can be computed analytically in terms of the network topology.

Nonlinear network dynamics under perturbations of the underlying graph.

- Mathematics, BiologyChaos
- 2015

The object of the study is to relate connectivity to temporal behavior in networks of coupled nonlinear oscillators, and to illustrate how the phase space dynamics and bifurcations of the system change when perturbing the underlying adjacency graph.

Identifying Topologies of Complex Dynamical Networks With Stochastic Perturbations

- Computer ScienceIEEE Transactions on Control of Network Systems
- 2016

This paper presents a simple and efficient technique to recover the underlying topologies of noise-contaminated complex dynamical networks with or without information transmission delay and shows the effectiveness of the approach with a complex network composed of FHN systems.

Review of Complex Networks

- Computer Science
- 2016

The outsets of degree distributions, the small-world effect, network correlations, clustering, synchronization, random graph models, models of network growth and special attachment, robustness and dynamical processes interestingly taking place on networks are presented.

Mathematical Formulation of Multilayer Networks

- Physics, Mathematics
- 2013

A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity,…

The Many Faces of Graph Dynamics

- Computer Science, PhysicsArXiv
- 2016

The notion of centrality distance, a natural similarity measure for two graphs which depends on a given centrality, characterizing the graph type, is introduced, which allows us to compare the dynamics of very different networks, in terms of scale and evolution speed.

## References

SHOWING 1-10 OF 654 REFERENCES

Evolution of networks

- Physics, Biology
- 2002

The recent rapid progress in the statistical physics of evolving networks is reviewed, and how growing networks self-organize into scale-free structures is discussed, and the role of the mechanism of preferential linking is investigated.

Nexus: Small Worlds and the Groundbreaking Science of Networks

- Political Science, Computer Science
- 2002

This fundamental principles of the emerging field of "small-worlds" theorythe idea that a hidden pattern is the key to how networks interact and exchange information, whether that network is the information highway or the firing of neurons in the brain, are presented.

Dynamics Of Complex Systems

- Computer Science
- 1997

Overview: The Dynamics of Complex Systems-Examples, Questions, Methods and Concepts Introduction and Preliminaries Neural Networks I: Subdivision and Hierarchy Neural Networks II: Models of Mind…

Random evolution in massive graphs

- Mathematics, Computer ScienceProceedings 2001 IEEE International Conference on Cluster Computing
- 2001

This paper gives three increasingly general directed graph models and one general undirected graph model for generating power law graphs by adding at most one node and possibly one or more edges at a time and describes a method for scaling the time in the evolution model such that the power law of the degree sequences remains invariant.

Small Worlds: The Dynamics of Networks between Order and Randomness

- Sociology
- 2001

small worlds the dynamics of networks between order and. download small worlds the dynamics of networks between. small worlds and the dynamics of networks. small world networks oxford handbooks.…

An Introduction to Econophysics: Correlations and Complexity in Finance

- Computer Science, Economics
- 1999

Economists and workers in the financial world will find useful the presentation of empirical analysis methods and well-formulated theoretical tools that might help describe systems composed of a huge number of interacting subsystems.

The Economy as an Evolving Complex System II

- Economics
- 1988

* Introduction W.B. Arthur, S.N., Durlauf, and D. Lane * Asset Pricing Under Endogenous Expectations in an Artificial Stock Market W.B. Arthur, J.H. Holland, B. LeBaron, R. Palmer, and P. Tayler *…

Mathematical biology

- MedicineConnecticut medicine
- 1961

The aim of this study was to investigate the bifurcations and attractors of the nonlinear dynamics model of the saccadic system, in order to obtain a classification of the simulated oculomotor behaviours.

Six Degrees: The Science of a Connected Age

- Computer Science, Engineering
- 2003

Duncan Watts explores the science of networks and its implications, ranging from the Dutch tulipmania of the 17th century to the success of Harry Potter, from the impact of September 11 on Manhattan to the brain of the sea-slug, and from the processes that lead to stockmarket crashes to the structure of the world wide web.

Partitioning Networks by Eigenvectors

- Mathematics
- 2004

A survey of published methods for partitioning sparse arrays is presented. These include early attempts to describe the partitioning properties of eigenvectors of the adjacency matrix. More direct…