{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:09:24Z","timestamp":1753884564062,"version":"3.41.2"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/501100005276","name":"national board for higher mathematics","doi-asserted-by":"publisher","award":["NBHM\/R.P.29\/2015\/Fresh\/157"],"award-info":[{"award-number":["NBHM\/R.P.29\/2015\/Fresh\/157"]}],"id":[{"id":"10.13039\/501100005276","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2022,3]]},"abstract":"<jats:p> For a connected graph [Formula: see text] of order at least two, a connected outer connected geodetic set [Formula: see text] of [Formula: see text] is called a minimal connected outer connected geodetic set if no proper subset of [Formula: see text] is a connected outer connected geodetic set of [Formula: see text]. The upper connected outer connected geodetic number [Formula: see text] of [Formula: see text] is the maximum cardinality of a minimal connected outer connected geodetic set of [Formula: see text]. We determine bounds for it and certain general properties satisfied by this parameter are studied. It is shown that, for any two integers [Formula: see text], [Formula: see text] with [Formula: see text], there exists a connected graph [Formula: see text] with [Formula: see text] and [Formula: see text], where [Formula: see text] is the connected outer connected geodetic number of a graph. Also, another parameter forcing connected outer connected geodetic number [Formula: see text] of a graph [Formula: see text] is introduced and several interesting results on this parameter are studied. <\/jats:p>","DOI":"10.1142\/s0219265921420226","type":"journal-article","created":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T08:25:27Z","timestamp":1646123127000},"source":"Crossref","is-referenced-by-count":3,"title":["The Upper and Forcing Connected Outer Connected Geodetic Numbers of a Graph"],"prefix":"10.1142","volume":"22","author":[{"given":"K.","family":"Ganesamoorthy","sequence":"first","affiliation":[{"name":"Department of Mathematics, Coimbatore Institute of Technology, Coimbatore 641 014, India"}]},{"given":"D.","family":"Jayanthi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Coimbatore Institute of Technology, Coimbatore 641 014, India"}]}],"member":"219","published-online":{"date-parts":[[2022,2,25]]},"reference":[{"volume-title":"Distance in Graphs","year":"1990","author":"Buckley F.","key":"S0219265921420226BIB001"},{"key":"S0219265921420226BIB002","first-page":"17","volume":"2","author":"Buckley F.","year":"1998","journal-title":"Scientia"},{"key":"S0219265921420226BIB003","doi-asserted-by":"publisher","DOI":"10.1002\/net.10007"},{"key":"S0219265921420226BIB004","first-page":"51","volume":"31","author":"Chartrand G.","year":"2001","journal-title":"Bulletin of the ICA"},{"key":"S0219265921420226BIB005","first-page":"3","volume":"72","author":"Chartrand G.","year":"2004","journal-title":"Ars Combin."},{"key":"S0219265921420226BIB006","first-page":"37","volume":"156","author":"Chartrand G.","year":"2002","journal-title":"Congr.Numer."},{"key":"S0219265921420226BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/s40010-020-00661-5"},{"issue":"1","key":"S0219265921420226BIB008","first-page":"78","volume":"41","author":"Ganesamoorthy K.","year":"2021","journal-title":"Trans. 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