{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,4]],"date-time":"2025-10-04T14:39:21Z","timestamp":1759588761585},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,8]]},"abstract":"<jats:p> The identification of community structures in networks is investigated within a framework based on the concepts of higher order neighborhoods and neighborhood matrix [Formula: see text]. This procedure is of relevance especially for networks representing evolutionary situations, since several evidences show that they are assembled from pre-existing smaller structures, rather than by the mere adhesion of individual nodes. We proceed within the successive elimination of the links with largest betweenness degree. The effect of erasing a link at step k is quantified by the distance between [Formula: see text] and [Formula: see text], which describe the network neighborhoods prior and after the kth link elimination. For modular networks, this measure is characterized by a very long sequence of sharp peaks, following a much more complete cascade of cluster splitting. The evidences indicate that this method identifies a more precise description of smaller communities splitting than the one based on modularity function. <\/jats:p>","DOI":"10.1142\/s0218127409024396","type":"journal-article","created":{"date-parts":[[2009,11,3]],"date-time":"2009-11-03T11:10:49Z","timestamp":1257246649000},"page":"2677-2685","source":"Crossref","is-referenced-by-count":6,"title":["IDENTIFICATION OF COMMUNITY STRUCTURE IN NETWORKS USING HIGHER ORDER NEIGHBORHOOD CONCEPTS"],"prefix":"10.1142","volume":"19","author":[{"given":"ROBERTO F. 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