English

Motif Conservation Laws for the Configuration Model

Molecular Networks 2014-08-28 v1 Social and Information Networks Physics and Society

Abstract

The observation that some subgraphs, called motifs, appear more often in real networks than in their randomized counterparts has attracted much attention in the scientific community. In the prevalent approach the detection of motifs is based on comparing subgraph counts in a network with their counterparts in the configuration model with the same degree distribution as the network. In this short note we derive conservation laws that relate motif counts in the configuration model.

Keywords

Cite

@article{arxiv.1408.6303,
  title  = {Motif Conservation Laws for the Configuration Model},
  author = {Anatol E. Wegner},
  journal= {arXiv preprint arXiv:1408.6303},
  year   = {2014}
}

Comments

3 pages, 3 figures

R2 v1 2026-06-22T05:41:01.882Z