{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T18:38:56Z","timestamp":1648838336977},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2016,3]]},"abstract":"<jats:p> The aim of this paper is to introduce a new function that satisfies the property of topological integer additive set-indexer (Top-IASI) with minimum cardinality for pan, tadpole, path and shovel graphs. Let [Formula: see text] be a graph and [Formula: see text] is a nonempty set. If an injective function [Formula: see text] induced a new injective function [Formula: see text] defined by [Formula: see text] for every [Formula: see text] then [Formula: see text] is called set-indexer. If an injective function [Formula: see text] produced another injective function [Formula: see text] defined by [Formula: see text] for every [Formula: see text], where [Formula: see text] is the set of all non-negative integers and [Formula: see text] is its power set then [Formula: see text] is called an integer additive set-indexer (IASI). An IASI is called a Top-IASI if [Formula: see text] forms a topology. <\/jats:p>","DOI":"10.1142\/s1793830916500129","type":"journal-article","created":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T06:06:36Z","timestamp":1448949996000},"page":"1650012","source":"Crossref","is-referenced-by-count":0,"title":["A characterization for topologically integer additive set-indexer of graphs"],"prefix":"10.1142","volume":"08","author":[{"given":"Seema","family":"Mehra","sequence":"first","affiliation":[{"name":"Maharshi Dyanand University, Rohtak, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Puneet","sequence":"additional","affiliation":[{"name":"Maharshi Dyanand University, Rohtak, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,2,26]]},"reference":[{"key":"S1793830916500129BIB001","series-title":"MRI Lecture Notes in Applied Mathematics","volume-title":"Set-Valuations and Their Applications","author":"Acharya B. D.","year":"1983"},{"issue":"2","key":"S1793830916500129BIB002","first-page":"299","volume":"27","author":"Acharya B. D.","year":"2010","journal-title":"J. Combin. Inf. Syst. Sci."},{"issue":"3","key":"S1793830916500129BIB003","first-page":"372","volume":"6","author":"Chithra K. P.","year":"2015","journal-title":"Int. J. Sci. Eng. Res."},{"key":"S1793830916500129BIB004","first-page":"DS6","volume":"17","author":"Gallian J. A.","year":"2011","journal-title":"Electron. J. Combin."},{"issue":"2","key":"S1793830916500129BIB005","first-page":"345","volume":"37","author":"Germina K. A.","year":"2012","journal-title":"J. Combin. Inform. Syst. Sci."},{"key":"S1793830916500129BIB006","doi-asserted-by":"crossref","DOI":"10.21236\/AD0705364","volume-title":"Graph Theory","author":"Harary F.","year":"1969"},{"key":"S1793830916500129BIB007","volume-title":"Introduction to General Topology","author":"Joshy K. D.","year":"1983"},{"key":"S1793830916500129BIB008","volume-title":"Theory of Graphs","author":"Rosa A.","year":"1967"},{"issue":"2","key":"S1793830916500129BIB009","first-page":"11","volume":"8","author":"Sudev N. K.","year":"2014","journal-title":"Int. J. Math. Sci. Engg. Appl."},{"key":"S1793830916500129BIB010","doi-asserted-by":"publisher","DOI":"10.5614\/ejgta.2015.3.1.8"},{"issue":"2","key":"S1793830916500129BIB011","first-page":"115","volume":"5","author":"Thomas U.","year":"2010","journal-title":"Adv. Appl. Discrete Math."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830916500129","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:02:39Z","timestamp":1565121759000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830916500129"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,26]]},"references-count":11,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2016,2,26]]},"published-print":{"date-parts":[[2016,3]]}},"alternative-id":["10.1142\/S1793830916500129"],"URL":"https:\/\/doi.org\/10.1142\/s1793830916500129","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2,26]]}}}