{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,2]],"date-time":"2025-09-02T03:40:09Z","timestamp":1756784409577,"version":"3.44.0"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2025,6]]},"abstract":"<jats:p> Given the interaction graph of a Markov generator of weak coupling limit type, we propose its partition by means of a discrete metric, inspired by the metric circle. This gives us simplest but richer description of its invariant states. By restricting the notions of detailed balance and non-detailed balance, we show that the complete description of the invariant state depends only on the dynamics of a complete and connected subgraph of the interaction graph. <\/jats:p>","DOI":"10.1142\/s1230161225500052","type":"journal-article","created":{"date-parts":[[2025,9,2]],"date-time":"2025-09-02T03:06:23Z","timestamp":1756782383000},"source":"Crossref","is-referenced-by-count":0,"title":["Decomposition of the Interaction Graph of Markov Generators of Weak Coupling Limit Type"],"prefix":"10.1142","volume":"32","author":[{"given":"M. A.","family":"Cruz de la Rosa","sequence":"first","affiliation":[{"name":"Universidad Aut\u00f3noma Metropolitana, Campus Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina 09340, Iztapalapa, Ciudad de M\u00e9xico, M\u00e9xico"}]},{"given":"F.","family":"Guerrero-Poblete","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma Metropolitana, Campus Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina 09340, Iztapalapa, Ciudad de M\u00e9xico, M\u00e9xico"}]}],"member":"219","published-online":{"date-parts":[[2025,9,3]]},"reference":[{"key":"S1230161225500052BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S0217979204024070"},{"key":"S1230161225500052BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0219025716500090"},{"key":"S1230161225500052BIB004","volume-title":"Finite Graphs and Networks: an Introduction with Applications","author":"Busacker R.","year":"1965"},{"key":"S1230161225500052BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s11080-007-9066-y"},{"key":"S1230161225500052BIB006","volume-title":"Graphs and Digraphs","author":"Chartrand G.","year":"2016"},{"key":"S1230161225500052BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-27195-4_8"},{"key":"S1230161225500052BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161221500050"},{"key":"S1230161225500052BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S0219025707002762"},{"key":"S1230161225500052BIB010","volume-title":"Cycle Representations of Markov Processes","author":"Kalpazidou S.","year":"2006"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1230161225500052","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,2]],"date-time":"2025-09-02T03:07:54Z","timestamp":1756782474000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1230161225500052"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6]]},"references-count":9,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["10.1142\/S1230161225500052"],"URL":"https:\/\/doi.org\/10.1142\/s1230161225500052","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"value":"1230-1612","type":"print"},{"value":"1793-7191","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6]]},"article-number":"2550005"}}