{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T11:38:10Z","timestamp":1770032290726,"version":"3.49.0"},"reference-count":6,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,8,11]]},"abstract":"<jats:p>The conception of magic labeling in fuzzy graphs elongates to fuzzy vertex magic labeling together with consecutive non-integer values in (0, 1] and the graph\u2019s repercussion is named as fuzzy consecutive vertex magic labeling graphs (FCVM) along with the z-index. In this manuscript, we give some properties associated with FCVM labeling along with z-index as well as the presence of FCVM labeling with z-index in trees and some generalizations. Moreover, we examine the FCVM labeling along with z-index of both regular and irregular graphs. Finally, in real-time applications, we bestow an instance for fuzzy consecutive vertex magic labeling graphs.<\/jats:p>","DOI":"10.3233\/jifs-201489","type":"journal-article","created":{"date-parts":[[2021,5,28]],"date-time":"2021-05-28T13:38:47Z","timestamp":1622209127000},"page":"219-230","source":"Crossref","is-referenced-by-count":1,"title":["Consecutive z-index vertex magic labeling graphs"],"prefix":"10.1177","volume":"41","author":[{"given":"Radhakrishnan","family":"Nishanthini","sequence":"first","affiliation":[{"name":"Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India"}]},{"given":"Ramasamy","family":"Jeyabalan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India"}]},{"given":"Samipillai","family":"Balasundar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Alagappa Chettiyar College of Engineering Technology, Karaikudi, Tamilnadu, India"}]},{"given":"Gurunathan","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Alagappa University Evening College, Ramnad, Tamilnadu, India"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-201489_ref1","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.4153\/CJM-1966-104-7","article-title":"Magic graphs","volume":"18","author":"Stewart","year":"1966","journal-title":"Canadian Journal of Mathematics"},{"key":"10.3233\/JIFS-201489_ref5","doi-asserted-by":"crossref","unstructured":"Mordeson J.N. and Nair P.S. , Fuzzy graphs and Fuzzy Hypergraphs, Physica-Verlag 2000.","DOI":"10.1007\/978-3-7908-1854-3"},{"key":"10.3233\/JIFS-201489_ref6","unstructured":"Rosenfield A. , Fuzzy graphs: In Fuzzy sets and Their Applications, Academic Press, (1975), USA."},{"key":"10.3233\/JIFS-201489_ref7","doi-asserted-by":"crossref","unstructured":"Yeh R.T. and Bang S.Y. , Fuzzy relations, fuzzy graphs and their application to clustering analysis, Academic Press, New York, (1975), 125\u2013149.","DOI":"10.1016\/B978-0-12-775260-0.50010-4"},{"issue":"4","key":"10.3233\/JIFS-201489_ref8","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1016\/j.ins.2009.10.006","article-title":"Node connectivity and arc connectivity of a fuzzy graph","volume":"180","author":"Mathew","year":"2010","journal-title":"Information Sciences"},{"issue":"6","key":"10.3233\/JIFS-201489_ref9","first-page":"935","article-title":"Super vertex-magic labeling","volume":"34","author":"Swaminathan","year":"2003","journal-title":"Indian J Pure Appl Math"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-201489","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T00:58:37Z","timestamp":1769993917000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-201489"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,11]]},"references-count":6,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.3233\/jifs-201489","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,8,11]]}}}