Combinatorial algorithm for counting small induced graphs and orbits
Data Structures and Algorithms
2017-04-12 v1 Discrete Mathematics
Abstract
Graphlet analysis is an approach to network analysis that is particularly popular in bioinformatics. We show how to set up a system of linear equations that relate the orbit counts and can be used in an algorithm that is significantly faster than the existing approaches based on direct enumeration of graphlets. The algorithm requires existence of a vertex with certain properties; we show that such vertex exists for graphlets of arbitrary size, except for complete graphs and , which are treated separately. Empirical analysis of running time agrees with the theoretical results.
Keywords
Cite
@article{arxiv.1601.06834,
title = {Combinatorial algorithm for counting small induced graphs and orbits},
author = {Tomaž Hočevar and Janez Demšar},
journal= {arXiv preprint arXiv:1601.06834},
year = {2017}
}