{"database":"biostudies-literature","file_versions":[],"scores":null,"additional":{"omics_type":["Unknown"],"volume":["3"],"submitter":["Chakraborty T"],"pubmed_abstract":["Identifying community structure is a fundamental problem in network analysis. Most community detection algorithms are based on optimizing a combinatorial parameter, for example modularity. This optimization is generally NP-hard, thus merely changing the vertex order can alter their assignments to the community. However, there has been less study on how vertex ordering influences the results of the community detection algorithms. Here we identify and study the properties of invariant groups of vertices (constant communities) whose assignment to communities are, quite remarkably, not affected by vertex ordering. The percentage of constant communities can vary across different applications and based on empirical results we propose metrics to evaluate these communities. Using constant communit"],"journal":["Scientific reports"],"pagination":["1825"],"full_dataset_link":["https://www.ebi.ac.uk/biostudies/studies/S-EPMC6504828"],"repository":["biostudies-literature"],"pubmed_title":["Constant communities in complex networks."],"pmcid":["PMC6504828"],"pubmed_authors":["Chakraborty T","Srinivasan S","Mukherjee A","Ganguly N","Bhowmick S"],"additional_accession":[]},"is_claimable":false,"name":"Constant communities in complex networks.","description":"Identifying community structure is a fundamental problem in network analysis. Most community detection algorithms are based on optimizing a combinatorial parameter, for example modularity. This optimization is generally NP-hard, thus merely changing the vertex order can alter their assignments to the community. However, there has been less study on how vertex ordering influences the results of the community detection algorithms. Here we identify and study the properties of invariant groups of vertices (constant communities) whose assignment to communities are, quite remarkably, not affected by vertex ordering. The percentage of constant communities can vary across different applications and based on empirical results we propose metrics to evaluate these communities. Using constant communit","dates":{"release":"2013-01-01T00:00:00Z","publication":"2013","modification":"2025-04-22T09:22:30.389Z","creation":"2019-06-06T23:28:27Z"},"accession":"S-EPMC6504828","cross_references":{"pubmed":["23661107"],"doi":["10.1038/srep01825"]}}