{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T14:44:09Z","timestamp":1778597049289,"version":"3.51.4"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","funder":[{"name":"National Board for Higher Mathematics (IN","award":["2\/39(26)\/2012 -R&D-II\/14682"],"award-info":[{"award-number":["2\/39(26)\/2012 -R&D-II\/14682"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2016,9]]},"abstract":"<jats:p> Motivated by the earlier study on the notion of signed total graph of a commutative ring, in this paper, we characterize all the commutative rings with unity for which signed total graph is [Formula: see text]-consistent and sign-compatible. To do this, first, we derive a formula to determine the degree of each vertex in [Formula: see text] (induced subgraph of the total graph), when [Formula: see text] and [Formula: see text], where each [Formula: see text]\u2019s is a field of characteristic [Formula: see text], [Formula: see text] is an odd prime, [Formula: see text] and [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830916500415","type":"journal-article","created":{"date-parts":[[2016,4,12]],"date-time":"2016-04-12T03:26:17Z","timestamp":1460431577000},"page":"1650041","source":"Crossref","is-referenced-by-count":1,"title":["\ud835\udc9e-Consistency in signed total graphs of commutative rings"],"prefix":"10.1142","volume":"08","author":[{"family":"Pranjali","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Delhi, Delhi 110007, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Atul","family":"Gaur","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Delhi, Delhi 110007, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mukti","family":"Acharya","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kalasalingam University, Anand Nagar, Krishnankoil 626126, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,8]]},"reference":[{"key":"S1793830916500415BIB001","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972712001177"},{"key":"S1793830916500415BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2008.06.028"},{"key":"S1793830916500415BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2496(78)90054-8"},{"key":"S1793830916500415BIB004","doi-asserted-by":"crossref","DOI":"10.21236\/AD0705364","volume-title":"Graph Theory","author":"Harary F.","year":"1969"},{"key":"S1793830916500415BIB005","volume-title":"Lectures in Abstract Algebra","author":"Jacobson N.","year":"1951"},{"key":"S1793830916500415BIB006","author":"Pranjali","year":"2016","journal-title":"Graphs Combin."},{"key":"S1793830916500415BIB007","doi-asserted-by":"publisher","DOI":"10.1216\/RMJ-2012-42-5-1551"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830916500415","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:44:03Z","timestamp":1565113443000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830916500415"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8]]},"references-count":7,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2016,8]]},"published-print":{"date-parts":[[2016,9]]}},"alternative-id":["10.1142\/S1793830916500415"],"URL":"https:\/\/doi.org\/10.1142\/s1793830916500415","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8]]}}}