How modular structure can simplify tasks on networks

Binh-Minh Bui-Xuan; Nick S. Jones

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arXiv · 1305.4760

How modular structure can simplify tasks on networks

Binh-Minh Bui-Xuan·Nick S. Jones

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Abstract

By considering the task of finding the shortest walk through a network we find an algorithm for which the run time is not as O(2^n), with n being the number of nodes, but instead scales with the number of nodes in a coarsened network. This coarsened network has a number of nodes related to the number of dense regions in the original graph. Since we exploit a form of local community detection as a preprocessing, this work gives support to the project of developing heuristic algorithms for detecting dense regions in networks: preprocessing of this kind can accelerate optimization tasks on networks. Our work also suggests a class of empirical conjectures for how structural features of efficient networked systems might scale with system size.

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BibTeX RIS

Binh-Minh Bui-Xuan, Nick S. Jones. 2013-05-21. How modular structure can simplify tasks on networks. https://arxiv.org/abs/1305.4760

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