{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T05:17:49Z","timestamp":1648703869894},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2014,9]]},"abstract":"<jats:p> A Roman dominating function on a graph G is a function f : V(G) \u2192 {0, 1, 2} satisfying the condition that every vertex u of G for which f(u) = 0 is adjacent to at least one vertex v of G for which f(v) = 2. The weight of a Roman dominating function is the value f(V(G)) = \u2211<jats:sub>u\u2208V(G)<\/jats:sub>f(u). In this paper we provide a constructive characterization of trees with unique Roman dominating functions of minimum weight. <\/jats:p>","DOI":"10.1142\/s1793830914500384","type":"journal-article","created":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T03:54:43Z","timestamp":1394596483000},"page":"1450038","source":"Crossref","is-referenced-by-count":4,"title":["Trees with unique Roman dominating functions of minimum weight"],"prefix":"10.1142","volume":"06","author":[{"given":"Mustapha","family":"Chellali","sequence":"first","affiliation":[{"name":"LAMDA-RO Laboratory, Department of Mathematics, University of Blida, B.P. 270, Blida, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nader","family":"Jafari Rad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shahrood University of Technology, Shahrood, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,6,16]]},"reference":[{"key":"rf1","first-page":"3","volume":"73","author":"Chellali M.","journal-title":"Ars Combin."},{"key":"rf2","first-page":"233","volume":"83","author":"Chellali M.","journal-title":"Util. Math."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2003.06.004"},{"key":"rf4","first-page":"55","volume":"101","author":"Gunther G.","journal-title":"Congr. Numer."},{"key":"rf5","first-page":"73","volume":"92","author":"Hansberg A.","journal-title":"Util. Math."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1172"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1178"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(03)00040-2"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830914500384","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:16:00Z","timestamp":1565111760000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830914500384"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,6,16]]},"references-count":8,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2014,6,16]]},"published-print":{"date-parts":[[2014,9]]}},"alternative-id":["10.1142\/S1793830914500384"],"URL":"https:\/\/doi.org\/10.1142\/s1793830914500384","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,6,16]]}}}