{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T05:46:48Z","timestamp":1723096008108},"reference-count":0,"publisher":"Combinatorial Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2023,12,31]]},"abstract":"<jats:p>A total dominator coloring of G without isolated vertex is a proper coloring of the vertices of G in which each vertex of G is adjacent to every vertex of some color class. The total dominator chromatic number \u03c7 t d ( G ) of G is the minimum number of colors among all total dominator coloring of G . In this paper, we will give the polynomial time algorithms to computing the total dominator coloring number for P 4 -reducible and P 4 -tidy graphs.<\/jats:p>","DOI":"10.61091\/ars157-08","type":"journal-article","created":{"date-parts":[[2024,1,23]],"date-time":"2024-01-23T18:11:55Z","timestamp":1706033515000},"page":"81-88","source":"Crossref","is-referenced-by-count":0,"title":["Total Dominator Colorings of  P 4 -reducible and  P 4 -tidy Graphs"],"prefix":"10.61091","volume":"157","author":[{"name":"Shandong University of Engineering and Vocational Technology, Ji\u2019nan, Shandong, China.","sequence":"first","affiliation":[]},{"given":"Wei","family":"Ge","sequence":"first","affiliation":[]},{"given":"Jun","family":"Yue","sequence":"additional","affiliation":[]},{"name":"School of Mathematics Science, Tiangong University, Tianjin, China.","sequence":"additional","affiliation":[]}],"member":"39747","published-online":{"date-parts":[[2023,12,31]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2024,1,23]],"date-time":"2024-01-23T18:12:08Z","timestamp":1706033528000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-157\/total-dominator-colorings-of-p_4-reducible-and-p_4-tidy-graphs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,31]]},"references-count":0,"URL":"https:\/\/doi.org\/10.61091\/ars157-08","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"type":"print","value":"0381-7032"},{"type":"electronic","value":"2817-5204"}],"subject":[],"published":{"date-parts":[[2023,12,31]]}}}