{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T05:46:40Z","timestamp":1723096000003},"reference-count":0,"publisher":"Combinatorial Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2023,7,31]]},"abstract":"<jats:p>An antipodal labeling is a function f from the vertices of G to the set of natural numbers such that it satisfies the condition d ( u , v ) + | f ( u ) \u2013 f ( v ) | \u2265 d , where d is the diameter of G and d ( u , v ) is the shortest distance between every pair of distinct vertices u and v of G . The span of an antipodal labeling f is s p ( f ) = max { | f ( u ) \u2013 f ( v ) | : u , v \u2208 V ( G ) } . The antipodal number of~G, denoted by~an(G), is the minimum span of all antipodal labeling of~G. In this paper, we determine the antipodal number of Mongolian tent and Torus grid.<\/jats:p>","DOI":"10.61091\/ars156-1","type":"journal-article","created":{"date-parts":[[2024,1,23]],"date-time":"2024-01-23T18:57:46Z","timestamp":1706036266000},"page":"3-11","source":"Crossref","is-referenced-by-count":0,"title":["Radio Antipodal Labeling of Mongolian Tent and Torus Grid Graphs"],"prefix":"10.61091","volume":"156","author":[{"name":"Department of Mathematics, SSN College of Engineering, Kalavakkam, India.","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Gomathi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Venugopal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Department of Mathematics, SSN College of Engineering, Kalavakkam, India.","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T. Arputha","family":"Jose","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Department of Mathematics, SSN College of Engineering, Kalavakkam, India.","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"39747","published-online":{"date-parts":[[2023,7,31]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2024,1,23]],"date-time":"2024-01-23T18:57:47Z","timestamp":1706036267000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/article\/ars\/Radio-Antipodal-Labeling-of-Mongolian-Tent-and-Torus-Grid-Graphs.pdf"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,31]]},"references-count":0,"URL":"https:\/\/doi.org\/10.61091\/ars156-1","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"type":"print","value":"0381-7032"},{"type":"electronic","value":"2817-5204"}],"subject":[],"published":{"date-parts":[[2023,7,31]]}}}