{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T12:43:57Z","timestamp":1759063437354},"reference-count":8,"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> A two-valued function [Formula: see text] defined on the vertices of a graph [Formula: see text], is a majority dominating function if the sum of its function values over at least half the closed neighborhoods is at least one. That is, for at least half the vertices [Formula: see text], [Formula: see text], where [Formula: see text] consists of [Formula: see text] and every vertex adjacent to [Formula: see text]. The majority domination number of a graph [Formula: see text], denoted [Formula: see text], is the minimum value of [Formula: see text] over all majority dominating functions [Formula: see text] of [Formula: see text]. The majority reinforcement number of [Formula: see text], denoted by [Formula: see text], is defined to be the minimum cardinality [Formula: see text] of a set [Formula: see text] of edges such that [Formula: see text]. In this paper, we initiate the study of majority reinforcement number and determine the exact values of [Formula: see text] for paths and cycles. <\/jats:p>","DOI":"10.1142\/s1793830916500142","type":"journal-article","created":{"date-parts":[[2015,12,14]],"date-time":"2015-12-14T21:34:52Z","timestamp":1450128892000},"page":"1650014","source":"Crossref","is-referenced-by-count":2,"title":["Majority reinforcement number"],"prefix":"10.1142","volume":"08","author":[{"given":"I. Sahul","family":"Hamid","sequence":"first","affiliation":[{"name":"Department of Mathematics, The Madura College, Madurai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. Anandha","family":"Prabhavathy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sacs MAVMM Engineering College, Madurai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,2,26]]},"reference":[{"key":"S1793830916500142BIB001","volume-title":"Graphs and Digraphs","author":"Chartrand G.","year":"2005","edition":"4"},{"key":"S1793830916500142BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(97)00232-X"},{"key":"S1793830916500142BIB003","first-page":"33","volume":"108","author":"Ghoshal J.","year":"1995","journal-title":"Congr. Numer."},{"key":"S1793830916500142BIB004","volume-title":"Domination in Graphs: Advanced Topics","author":"Haynes T. W.","year":"1998"},{"key":"S1793830916500142BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(00)00370-8"},{"key":"S1793830916500142BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(94)00194-N"},{"key":"S1793830916500142BIB007","first-page":"225","volume":"79","author":"Kok J.","year":"1990","journal-title":"Congr. Numer."},{"issue":"1","key":"S1793830916500142BIB008","first-page":"59","volume":"9","author":"Li N.","year":"2012","journal-title":"AKCE. Int. J. Graphs Comb."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830916500142","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T16:02:42Z","timestamp":1565107362000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830916500142"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,26]]},"references-count":8,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2016,2,26]]},"published-print":{"date-parts":[[2016,3]]}},"alternative-id":["10.1142\/S1793830916500142"],"URL":"https:\/\/doi.org\/10.1142\/s1793830916500142","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]]}}}