# Emergence of core–peripheries in networks

@article{Verma2016EmergenceOC, title={Emergence of core–peripheries in networks}, author={Trivik Verma and Fabian Russmann and Nuno A. M. Ara{\'u}jo and Jan Nagler and Hans J. Herrmann}, journal={Nature Communications}, year={2016}, volume={7} }

A number of important transport networks, such as the airline and trade networks of the world, exhibit a characteristic core–periphery structure, wherein a few nodes are highly interconnected and the rest of the network frays into a tree. Mechanisms underlying the emergence of core–peripheries, however, remain elusive. Here, we demonstrate that a simple pruning process based on removal of underutilized links and redistribution of loads can lead to the emergence of core–peripheries. Links are…

## 72 Citations

### Finding multiple core-periphery pairs in networks

- Computer SciencePhysical review. E
- 2017

This work proposes a scalable algorithm to detect multiple nonoverlapping groups of core-periphery structure in a network and illustrates the algorithm using synthesized and empirical networks.

### Multiscale core-periphery structure in a global liner shipping network

- ArtScientific Reports
- 2019

An algorithm to detect core-periphery pairs in a network is developed, which allows one to find core and peripheral nodes on different scales and uses a configuration model that accounts for the fact that the network is obtained by the one-mode projection of a bipartite network.

### Articulation points in complex networks

- Computer ScienceNature communications
- 2017

It is found that a greedy articulation point removal process provides a different perspective on the organizational principles of complex networks and results in a rich phase diagram with two fundamentally different types of percolation transitions that shed light on the design of more resilient infrastructure networks and the effective destruction of terrorist communication networks.

### Core-Periphery Structure in Networks (Revisited)

- Computer ScienceSIAM Rev.
- 2017

This paper develops a new method to investigate the meso-scale feature known as core-periphery structure, which entails identifying densely connected core nodes and sparsely connected peripheral nodes in a network.

### (2019). Multiscale core-periphery structure in a global liner shipping network. Scientific Reports , , [404].

- History
- 2019

Maritime transport accounts for a majority of trades in volume, of which 70% in value is carried by container ships that transit regular routes on fixed schedules in the ocean. In the present paper,…

### Random Spatial Network Models for Core-Periphery Structure

- Computer ScienceWSDM
- 2019

This work develops a generative, random network model with core-periphery structure that jointly accounts for topological and spatial information by "core scores'' of vertices and demonstrates how the core scores can be used in downstream data mining tasks, such as predicting airline traffic and classifying fungal networks.

### Detecting Core-Periphery Structure in Spatial Networks

- Computer ScienceArXiv
- 2018

This paper proposes a random network model for spatial networks with core-periphery structure inspired by the Kleinberg small-world model, which uses a vertex core score to indicate the "coreness" of each vertex, and connects each pair of vertices with a probability parameterized by their distance and core scores.

### K-core robustness in ecological and financial networks

- Computer ScienceScientific Reports
- 2020

This work finds that high occupancy of nodes in the inner and outer k-shells and low occupancy in the middle shells of financial and ecological networks provide resilience against both local targeted and global attacks, suggesting that the “U-shaped” occupancy histogram and its implications for network health may indeed be universal.

### Impact of core-periphery structure on cascading failures in interdependent scale-free networks

- EngineeringPhysics Letters A
- 2019

### Portfolio optimization based on network topology

- Computer SciencePhysica A: Statistical Mechanics and its Applications
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