{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:26:12Z","timestamp":1777645572552,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2016,12,24]],"date-time":"2016-12-24T00:00:00Z","timestamp":1482537600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2016,12,24]]},"abstract":"<jats:p>A well known constructive proof for the \ud835\udd38\ud835\udd3b\ud835\udd3c-classification of many mathematical objects, such as positive unit forms and their associated quasi-Cartan matrices, has lead to an Inflations Algorithm. However, this algorithm is not known to run in polynomial time. In this paper we use a so called flation transformation and show how its invariants can be used to characterize the Dynkin types \ud835\udd38 and \ud835\udd3b in the language of graph theory. Also, a polynomial-time algorithm for computing the Dynkin type is suggested.<\/jats:p>","DOI":"10.3233\/fi-2016-1448","type":"journal-article","created":{"date-parts":[[2016,12,27]],"date-time":"2016-12-27T10:59:22Z","timestamp":1482836362000},"page":"241-261","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Graph Theoretical and Algorithmic Characterizations of Positive Definite Symmetric Quasi-Cartan Matrices"],"prefix":"10.1177","volume":"149","author":[{"given":"M.","family":"Abarca","sequence":"first","affiliation":[{"name":"Instituto de Investigaci\u00f3n en Ciencias B\u00e1sicas y Aplicadas Centro de Investigaci\u00f3n en Ciencias Universidad Aut\u00f3noma del Estado de Morelos Av. Universidad 1001, Cuernavaca, Mor. Mexico. {asma,darivera}@uaem.mx"}]},{"given":"D.","family":"Rivera","sequence":"additional","affiliation":[{"name":"Instituto de Investigaci\u00f3n en Ciencias B\u00e1sicas y Aplicadas Centro de Investigaci\u00f3n en Ciencias Universidad Aut\u00f3noma del Estado de Morelos Av. Universidad 1001, Cuernavaca, Mor. Mexico. {asma,darivera}@uaem.mx"}]}],"member":"179","published-online":{"date-parts":[[2016,12,24]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1448","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1448","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:37Z","timestamp":1777444357000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2016-1448"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,24]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,12,24]]}},"alternative-id":["10.3233\/FI-2016-1448"],"URL":"https:\/\/doi.org\/10.3233\/fi-2016-1448","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,24]]}}}