English

On motifs in colored graphs

Discrete Mathematics 2020-05-29 v1 Computational Complexity Data Structures and Algorithms

Abstract

One of the most important concepts in biological network analysis is that of network motifs, which are patterns of interconnections that occur in a given network at a frequency higher than expected in a random network. In this work we are interested in searching and inferring network motifs in a class of biological networks that can be represented by vertex-colored graphs. We show the computational complexity for many problems related to colorful topological motifs and present efficient algorithms for special cases. We also present a probabilistic strategy to detect highly frequent motifs in vertex-colored graphs. Experiments on real data sets show that our algorithms are very competitive both in efficiency and in quality of the solutions.

Keywords

Cite

@article{arxiv.2005.13634,
  title  = {On motifs in colored graphs},
  author = {Diego P Rubert and Eloi Araujo and Marco A Stefanes and Jens Stoye and Fábio V Martinez},
  journal= {arXiv preprint arXiv:2005.13634},
  year   = {2020}
}

Comments

28 pages, 9 figures, to be published in Journal of Combinatorial Optimization

R2 v1 2026-06-23T15:51:59.921Z