How modular structure can simplify tasks on networks
Social and Information Networks
2013-05-22 v1 Data Structures and Algorithms
Physics and Society
Quantitative Methods
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.
Cite
@article{arxiv.1305.4760,
title = {How modular structure can simplify tasks on networks},
author = {Binh-Minh Bui-Xuan and Nick S. Jones},
journal= {arXiv preprint arXiv:1305.4760},
year = {2013}
}