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Related Experiment Video

Updated: Apr 25, 2026

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

Voter model on the two-clique graph.

¹Department of Engineering Mathematics, Merchant Venturers Building, University of Bristol, Woodland Road, Clifton, Bristol BS8 1UB, United Kingdom and CREST, JST, 4-1-8, Honcho, Kawaguchi, Saitama 332-0012, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 15, 2014

Summary

This summary is machine-generated.

The voter model

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Area of Science:

Network science
Statistical physics

Background:

The voter model is a fundamental tool for studying opinion dynamics and consensus formation in networks.
Understanding consensus time in complex networks is crucial for various applications, including social dynamics and information diffusion.
Networks with community structure, like the two-clique graph, present unique challenges for consensus formation.

Purpose of the Study:

To analyze the mean consensus time of the voter model on a two-clique graph.
To investigate how the number of interclique links affects consensus dynamics.
To elucidate the impact of community structure on the speed of consensus.

Main Methods:

Analytical derivation of the mean consensus time.
Examination of the voter model on a two-clique graph, a model for community structure.
Analysis of consensus time scaling with the number of nodes (N) under varying interclique link densities.

Main Results:

A crossover in consensus time was observed, transitioning between a fast O(N) and a slow O(N^2) regime.
The fast consensus regime aligns with results for homogeneous, well-mixed networks.
The slow consensus regime emerges specifically when the network has a sparse (O(1)) number of interclique links.

Conclusions:

Community structure's impact on voter model consensus time is limited.
Sparse interclique connections can significantly slow down consensus formation.
The two-clique graph provides insights into consensus dynamics in networks with modularity.