{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,8,12]],"date-time":"2022-08-12T13:08:54Z","timestamp":1660309734427},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2010,6]]},"abstract":"<jats:p> Let V and A denote the vertex and edge sets of a digraph G. A set T \u2286V is a twin dominating set of G if for every vertex v \u2208 V - T, there exist u, w \u2208 T (possibly u = w) such that arcs (u, v), (v, w) \u2208 A. The twin domination number \u03b3*(G) of G is the cardinality of a minimum twin dominating set of G. In this note, we investigate the twin domination numbers of generalized de Bruijn digraph and generalized Kautz digraph. The bounds of twin domination number of special generalized Kautz digraphs are given. <\/jats:p>","DOI":"10.1142\/s1793830910000577","type":"journal-article","created":{"date-parts":[[2010,7,5]],"date-time":"2010-07-05T10:31:23Z","timestamp":1278325883000},"page":"199-205","source":"Crossref","is-referenced-by-count":1,"title":["ON THE TWIN DOMINATION NUMBER IN GENERALIZED DE BRUIJN AND GENERALIZED KAUTZ DIGRAPHS"],"prefix":"10.1142","volume":"02","author":[{"given":"JYHMIN","family":"KUO","sequence":"first","affiliation":[{"name":"Chen-Te Senior High School, Hsin Chu, Taiwan 30047, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,5]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2007.05.010"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2007.12.020"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-218X(96)00130-8"},{"key":"rf5","first-page":"105","volume":"67","author":"Chartrand G.","journal-title":"Ars Combinatoria"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230180105"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(02)00436-3"},{"key":"rf8","unstructured":"J.\u00a0Ghoshal, R.\u00a0Laskar and D.\u00a0Pillone, Domination in Graphs, eds. T. W.\u00a0Haynes, S. T.\u00a0Hedetniemi and P. J.\u00a0Slater (Marcel Dekker, New York, 1998)\u00a0pp. 401\u2013437."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2004.01.014"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.05.020"},{"key":"rf11","first-page":"439","volume":"30","author":"Imase M.","journal-title":"IEEE Trans. Comput. C"},{"key":"rf12","first-page":"782","volume":"32","author":"Imase M.","journal-title":"IEEE Trans. Computers C"},{"key":"rf13","first-page":"267","volume":"34","author":"Imase M.","journal-title":"IEEE Trans. Computers C"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0190(02)00479-9"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1002\/net.20228"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-007-9066-4"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1109\/12.805162"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/12.21149"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2007.07.007"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2009.04.010"},{"key":"rf22","first-page":"19","volume":"32","author":"Xu J. M.","journal-title":"J. Univ. Sci. Tech. China"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830910000577","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T01:20:40Z","timestamp":1565140840000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830910000577"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6]]},"references-count":20,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2012,4,5]]},"published-print":{"date-parts":[[2010,6]]}},"alternative-id":["10.1142\/S1793830910000577"],"URL":"https:\/\/doi.org\/10.1142\/s1793830910000577","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6]]}}}