{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:24:20Z","timestamp":1777645460113,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2021,1,15]],"date-time":"2021-01-15T00:00:00Z","timestamp":1610668800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2021,1,15]]},"abstract":"<jats:p>The general position number gp( G) of a graph G is the cardinality of a largest set of vertices S such that no element of S lies on a geodesic between two other elements of S. The complementary prism G[Formula: see text] of G is the graph formed from the disjoint union of G and its complement [Formula: see text] by adding the edges of a perfect matching between them. It is proved that gp( G[Formula: see text]) \u2264 n( G) + 1 if G is connected and gp( G[Formula: see text]) \u2264 n( G) if G is disconnected. Graphs G for which gp( G[Formula: see text]) = n( G) + 1 holds, provided that both G and [Formula: see text] are connected, are characterized. A sharp lower bound on gp( G[Formula: see text]) is proved. If G is a connected bipartite graph or a split graph then gp( G[Formula: see text]) \u2208 { n( G), n( G)+1}. Connected bipartite graphs and block graphs for which gp( G[Formula: see text]) = n( G) + 1 holds are characterized. A family of block graphs is constructed in which the gp-number of their complementary prisms is arbitrary smaller than their order.<\/jats:p>","DOI":"10.3233\/fi-2021-2006","type":"journal-article","created":{"date-parts":[[2021,1,15]],"date-time":"2021-01-15T12:18:20Z","timestamp":1610713100000},"page":"267-281","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["On the General Position Number of Complementary Prisms"],"prefix":"10.1177","volume":"178","author":[{"given":"P. K.","family":"Neethu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Mahatma Gandhi College, University of Kerala, Thiruvananthapuram-695004, Kerala, India. ,"}]},{"given":"S.V. Ullas","family":"Chandran","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Mahatma Gandhi College, University of Kerala, Thiruvananthapuram-695004, Kerala, India. ,"}]},{"given":"Manoj","family":"Changat","sequence":"additional","affiliation":[{"name":"Department of Futures Studies, University of Kerala, Thiruvananthapuram-695581, Kerala, India."}]},{"given":"Sandi","family":"Klav\u017ear","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Physics, University of Ljubljana, Slovenia."}]}],"member":"179","published-online":{"date-parts":[[2021,1,15]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2021-2006","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2021-2006","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:16Z","timestamp":1777444336000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2021-2006"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,15]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,1,15]]}},"alternative-id":["10.3233\/FI-2021-2006"],"URL":"https:\/\/doi.org\/10.3233\/fi-2021-2006","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,15]]}}}