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Motif Conservation Laws for the Configuration Model

2014/08/27 by Anatol E. Wegner, Wegner, Anatol E. · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Bioinformatics and Genomic Networks #Complex Network Analysis Techniques #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Physics and Society (physics.soc-ph) #Social and Information Networks (cs.SI)

paper · pdf · doi:10.48550/arxiv.1408.6303

openalex publication_date 2014/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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