{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T08:41:04Z","timestamp":1768725664129,"version":"3.49.0"},"reference-count":56,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,4,15]],"date-time":"2018-04-15T00:00:00Z","timestamp":1523750400000},"content-version":"vor","delay-in-days":104,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"WiMUST","award":["H2020-645141"],"award-info":[{"award-number":["H2020-645141"]}]},{"name":"Faculty of Psychology and Educational Sciences of Ghent University","award":["H2020-645141"],"award-info":[{"award-number":["H2020-645141"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>The dynamics and behavior of ferromagnets have a great relevance even beyond the domain of statistical physics. In this work, we propose a Monte Carlo method, based on random graphs, for modeling their dilution. In particular, we focus on ferromagnets with dimension <jats:italic>D<\/jats:italic> \u2265 4, which can be approximated by the Curie\u2010Weiss model. Since the latter has as graphic counterpart, a complete graph, a dilution can be in this case viewed as a pruning process. Hence, in order to exploit this mapping, the proposed strategy uses a modified version of the Erd\u0151s\u2010Renyi graph model. In doing so, we are able both to simulate a continuous dilution and to realize diluted ferromagnets in one step. The proposed strategy is studied by means of numerical simulations, aiming to analyze main properties and equilibria of the resulting diluted ferromagnets. To conclude, we also provide a brief description of further applications of our strategy in the field of complex networks.<\/jats:p>","DOI":"10.1155\/2018\/2845031","type":"journal-article","created":{"date-parts":[[2018,4,15]],"date-time":"2018-04-15T23:31:04Z","timestamp":1523835064000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Dilution of Ferromagnets via a Random Graph\u2010Based Strategy"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0514-9544","authenticated-orcid":false,"given":"Marco Alberto","family":"Javarone","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniele","family":"Marinazzo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,4,15]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1088\/0022-3719\/13\/6\/016"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0550-3213(90)90126-X"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/37\/21\/003"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-008-9575-2"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4881725"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00214-012-1104-3"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2011\/02\/P02027"},{"key":"e_1_2_7_8_2","doi-asserted-by":"crossref","unstructured":"GerschenfeldA.andMontanariA. 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