{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T16:59:16Z","timestamp":1758819556737,"version":"3.37.3"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T00:00:00Z","timestamp":1557446400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61802158"],"award-info":[{"award-number":["61802158"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Comb Optim"],"published-print":{"date-parts":[[2019,10]]},"DOI":"10.1007\/s10878-019-00414-0","type":"journal-article","created":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T08:13:08Z","timestamp":1557475988000},"page":"836-845","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["2-Rainbow domination stability of graphs"],"prefix":"10.1007","volume":"38","author":[{"given":"Zepeng","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zehui","family":"Shao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shou-jun","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,5,10]]},"reference":[{"key":"414_CR1","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1016\/0012-365X(83)90085-7","volume":"47","author":"D Bauer","year":"1983","unstructured":"Bauer D, Harary F, Nieminen J, Suffel C (1983) Domination alternation sets in graphs. Discrete Math 47:153\u2013161","journal-title":"Discrete Math"},{"issue":"17","key":"414_CR2","doi-asserted-by":"publisher","first-page":"2394","DOI":"10.1016\/j.dam.2007.07.018","volume":"155","author":"B Bre\u0161ar","year":"2007","unstructured":"Bre\u0161ar B, \u0160umenjak TK (2007) On the $$2$$-rainbow domination in graphs. Discrete Appl Math 155(17):2394\u20132400","journal-title":"Discrete Appl Math"},{"issue":"1","key":"414_CR3","doi-asserted-by":"publisher","first-page":"213","DOI":"10.11650\/twjm\/1500602498","volume":"12","author":"B Bre\u0161ar","year":"2008","unstructured":"Bre\u0161ar B, Henning MA, Rall DF (2008) Rainbow domination in graphs. Taiwan J Math 12(1):213\u2013225","journal-title":"Taiwan J Math"},{"key":"414_CR4","volume-title":"Fundamentals of domination in graphs","author":"TW Haynes","year":"1998","unstructured":"Haynes TW, Hedetniemi ST, Slater PJ (1998) Fundamentals of domination in graphs. Marcel Dekker, New York"},{"key":"414_CR5","doi-asserted-by":"publisher","first-page":"246","DOI":"10.1016\/j.dam.2017.07.022","volume":"236","author":"MA Henning","year":"2018","unstructured":"Henning MA, Krzywkowski M (2018) Total domination stability in graphs. Discrete Appl Math 236:246\u2013255","journal-title":"Discrete Appl Math"},{"key":"414_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-018-0355-x","author":"Z Li","year":"2018","unstructured":"Li Z, Shao Z, Wu P, Zhao T (2018) On the 2-rainbow domination stable graphs. J Combin Optim. \n                    https:\/\/doi.org\/10.1007\/s10878-018-0355-x","journal-title":"J Combin Optim"},{"key":"414_CR7","first-page":"49","volume":"51","author":"NJ Rad","year":"2011","unstructured":"Rad NJ (2011) Critical concept for 2-rainbow domination in graphs. Australas J Combin 51:49\u201360","journal-title":"Australas J Combin"},{"issue":"7","key":"414_CR8","doi-asserted-by":"publisher","first-page":"1909","DOI":"10.1016\/j.disc.2015.12.026","volume":"339","author":"NJ Rad","year":"2016","unstructured":"Rad NJ, Sharifi E, Krzywkowski M (2016) Domination stability in graphs. Discrete Math 339(7):1909\u20131914","journal-title":"Discrete Math"},{"key":"414_CR9","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/j.ins.2013.07.020","volume":"254","author":"Z Shao","year":"2014","unstructured":"Shao Z, Liang M, Yin C et al (2014) On rainbow domination numbers of graphs. Inf Sci 254:225\u2013234","journal-title":"Inf Sci"},{"issue":"3","key":"414_CR10","doi-asserted-by":"publisher","first-page":"668","DOI":"10.1007\/s10878-013-9658-0","volume":"30","author":"Z St\u0229pie\u0144","year":"2015","unstructured":"St\u0229pie\u0144 Z, Szymaszkiewicz L, Zwierzchowski M (2015) The Cartesian product of cycles with small $$2$$-rainbow domination number. J Combin Optim 30(3):668\u2013674","journal-title":"J Combin Optim"},{"issue":"13\u201314","key":"414_CR11","doi-asserted-by":"publisher","first-page":"2178","DOI":"10.1016\/j.dam.2013.02.031","volume":"161","author":"Y Wang","year":"2013","unstructured":"Wang Y, Wu K (2013) A tight upper bound for 2-rainbow domination in generalized Petersen graphs. Discrete Appl Math 161(13\u201314):2178\u20132188","journal-title":"Discrete Appl Math"},{"issue":"4","key":"414_CR12","doi-asserted-by":"publisher","first-page":"1125","DOI":"10.1007\/s00373-012-1158-y","volume":"29","author":"Y Wu","year":"2013","unstructured":"Wu Y, Nader J (2013) Bounds on the 2-rainbow domination number of graphs. Graph Combin 29(4):1125\u20131133","journal-title":"Graph Combin"}],"container-title":["Journal of Combinatorial Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10878-019-00414-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10878-019-00414-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10878-019-00414-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,8]],"date-time":"2020-05-08T19:12:08Z","timestamp":1588965128000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10878-019-00414-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5,10]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,10]]}},"alternative-id":["414"],"URL":"https:\/\/doi.org\/10.1007\/s10878-019-00414-0","relation":{},"ISSN":["1382-6905","1573-2886"],"issn-type":[{"type":"print","value":"1382-6905"},{"type":"electronic","value":"1573-2886"}],"subject":[],"published":{"date-parts":[[2019,5,10]]},"assertion":[{"value":"10 May 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}