{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T05:46:38Z","timestamp":1723095998485},"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>Let G be a simple connected graph with vertex set V and diameter d . An injective function c : V \u2192 { 1 , 2 , 3 , \u2026 } is called a radio labeling of G if | c ( x ) c ( y ) | + d ( x , y ) \u2265 d + 1 for all distinct x , y \u2208 V , where d ( x , y ) is the distance between vertices x and y . The largest number in the range of c is called the span of the labeling c . The radio number of G is the minimum span taken over all radio labelings of G . For a fixed vertex z of G , the sequence ( l 1 , l 2 , \u2026 , l r ) is called the level tuple of G , where l i is the number of vertices whose distance from z is i . Let J k ( l 1 , l 2 , \u2026 , l r ) be the wedge sum (i.e. one vertex union) of k \u2265 2 graphs having same level tuple ( l 1 , l 2 , \u2026 , l r ) . Let J ( l 1 l \u2032 1 , l 2 l \u2032 2 , \u2026 , l r l \u2032 r ) be the wedge sum of two graphs of same order, having level tuples ( l 1 , l 2 , \u2026 , l r ) and ( l \u2032 1 , l \u2032 2 , \u2026 , l \u2032 r ) . In this paper, we compute the radio number for some sub-families of J k ( l 1 , l 2 , \u2026 , l r ) and J ( l 1 l \u2032 1 , l 2 l \u2032 2 , \u2026 , l r l \u2032 r ) .<\/jats:p>","DOI":"10.61091\/ars156-02","type":"journal-article","created":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T13:55:14Z","timestamp":1690552514000},"page":"13-23","source":"Crossref","is-referenced-by-count":0,"title":["Further Results on Radio Number of Wedge sum of Graphs"],"prefix":"10.61091","volume":"156","author":[{"name":"Department of Mathematics, Govt. College University, Lahore, Pakistan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Asim","family":"Naseem","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Khurram","family":"Shabbir","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Department of Mathematics, Govt. College University, Lahore, Pakistan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Ramzan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Department of Mathematics, Govt. College University, Lahore, Pakistan","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":"2024-01-23T23:27:32Z","timestamp":1706052452000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-156\/further-results-on-radio-number-of-wedge-sum-of-graphs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,31]]},"references-count":0,"URL":"https:\/\/doi.org\/10.61091\/ars156-02","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]]}}}