{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T18:44:40Z","timestamp":1648665880546},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2015,9]]},"abstract":"<jats:p> Let \u2115<jats:sub>0<\/jats:sub> denote the set of all non-negative integers and \ud835\udcab(\u2115<jats:sub>0<\/jats:sub>) be its power set. An integer additive set-indexer (IASI) of a graph G is an injective function f : V(G) \u2192 \ud835\udcab(\u2115<jats:sub>0<\/jats:sub>) such that the induced function f<jats:sup>+<\/jats:sup> : E(G) \u2192 \ud835\udcab(\u2115<jats:sub>0<\/jats:sub>) defined by f<jats:sup>+<\/jats:sup> (uv) = f(u) + f(v) is also injective. A graph G which admits an IASI is called an integer additive set-indexed graph (IASI-graph). An IASI of a graph G is said to be an arithmetic IASI if the elements of the set-labels of all vertices and edges of G are in arithmetic progressions. In this paper, we discuss about two special types of arithmetic IASIs. <\/jats:p>","DOI":"10.1142\/s1793830915500251","type":"journal-article","created":{"date-parts":[[2015,6,4]],"date-time":"2015-06-04T04:18:25Z","timestamp":1433391505000},"page":"1550025","source":"Crossref","is-referenced-by-count":4,"title":["On certain arithmetic integer additive set-indexers of graphs"],"prefix":"10.1142","volume":"07","author":[{"given":"N. K.","family":"Sudev","sequence":"first","affiliation":[{"name":"Department of Mathematics, Vidya Academy of Science &amp; Technology, Thalakkottukara, Thrissur 680501, Kerala, India"}]},{"given":"K. A.","family":"Germina","sequence":"additional","affiliation":[{"name":"Research &amp; PG Department of Mathematics, Mary Matha Arts &amp; Science College, Mananthvady, Wayand 670645, Kerala, India"}]}],"member":"219","published-online":{"date-parts":[[2015,9,29]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190140302"},{"key":"rf2","unstructured":"B. D.\u00a0Acharya, K. A.\u00a0Germina and T. M. K.\u00a0Anandavally, Labeling of Discrete Structures and Applications, eds. B. D.\u00a0Acharya, S.\u00a0Arumugam and A.\u00a0Rosa (Narosa Publishing House, New Delhi, 2008)\u00a0pp. 41\u201346."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-970-5"},{"key":"rf4","volume-title":"Introduction to Graph Theory","author":"Chartrand G.","year":"2005"},{"key":"rf5","first-page":"#DS6","volume":"18","author":"Gallian J. A.","year":"2013","journal-title":"Electron. J. Combin."},{"key":"rf6","first-page":"345","volume":"37","author":"Germina K. A.","year":"2012","journal-title":"J. Combin. Inform. System Sci."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.12988\/imf.2013.310188"},{"key":"rf8","volume-title":"Graph Theory and its Applications","author":"Gross J.","year":"1999"},{"key":"rf9","doi-asserted-by":"crossref","DOI":"10.21236\/AD0705364","volume-title":"Graph Theory","author":"Harary F.","year":"1969"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3845-2"},{"key":"rf12","first-page":"11","volume":"8","author":"Sudev N. K.","year":"2014","journal-title":"Int. J. Math. Sci. Eng. Appl."},{"key":"rf13","first-page":"11","volume":"7","author":"Sudev N. K.","year":"2015","journal-title":"Discrete Math. Algorithms Appl."},{"key":"rf15","volume-title":"Introduction to Graph Theory","author":"West D. B.","year":"2001"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830915500251","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:01:42Z","timestamp":1565186502000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830915500251"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9]]},"references-count":13,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2015,9,29]]},"published-print":{"date-parts":[[2015,9]]}},"alternative-id":["10.1142\/S1793830915500251"],"URL":"https:\/\/doi.org\/10.1142\/s1793830915500251","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9]]}}}