{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T01:07:06Z","timestamp":1778634426382,"version":"3.51.4"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,3,26]],"date-time":"2015-03-26T00:00:00Z","timestamp":1427328000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2016,1]]},"DOI":"10.1007\/s00373-015-1566-x","type":"journal-article","created":{"date-parts":[[2015,3,25]],"date-time":"2015-03-25T11:12:07Z","timestamp":1427281927000},"page":"79-92","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["A Roman Domination Chain"],"prefix":"10.1007","volume":"32","author":[{"given":"Mustapha","family":"Chellali","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Teresa W.","family":"Haynes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sandra M.","family":"Hedetniemi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stephen T.","family":"Hedetniemi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alice A.","family":"McRae","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,3,26]]},"reference":[{"key":"1566_CR1","doi-asserted-by":"crossref","first-page":"155","DOI":"10.2298\/AADM140210003B","volume":"8","author":"S Bermudo","year":"2014","unstructured":"Bermudo, S., Fernau, H., Sigarreta, J.M.: The differential and the Roman domination number of a graph. Appl. Anal. Discret. Math. 8, 155\u2013171 (2014)","journal-title":"Appl. Anal. Discret. Math."},{"key":"1566_CR2","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1002\/jgt.3190030306","volume":"3","author":"B Bollob\u00e1s","year":"1979","unstructured":"Bollob\u00e1s, B., Cockayne, E.J.: Graph-theoretic parameters concerning domination, independence, and irredundance. J. Graph Theory 3, 241\u2013249 (1979)","journal-title":"J. Graph Theory"},{"key":"1566_CR3","doi-asserted-by":"crossref","first-page":"337","DOI":"10.7151\/dmgt.1669","volume":"33","author":"M Chellali","year":"2013","unstructured":"Chellali, M., Rad, N.J.: Strong equality between the Roman domination and independent Roman domination numbers in trees. Discuss. Math. Graph Theory 33, 337\u2013346 (2013)","journal-title":"Discuss. Math. Graph Theory"},{"key":"1566_CR4","doi-asserted-by":"crossref","first-page":"715","DOI":"10.7494\/OpMath.2012.32.4.715","volume":"32","author":"M Chellali","year":"2012","unstructured":"Chellali, M., Rad, N.J.: A note on the independent Roman domination in unicyclic graphs. Opusc. Math. 32, 715\u2013718 (2012)","journal-title":"Opusc. Math."},{"key":"1566_CR5","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.disc.2003.06.004","volume":"278","author":"EJ Cockayne","year":"2004","unstructured":"Cockayne, E.J., Dreyer Sr, P.M., Hedetniemi, S.M., Hedetniemi, S.T.: On Roman domination in graphs. Discret. Math. 278, 11\u201322 (2004)","journal-title":"Discret. Math."},{"key":"1566_CR6","doi-asserted-by":"crossref","first-page":"461","DOI":"10.4153\/CMB-1978-079-5","volume":"21","author":"EJ Cockayne","year":"1978","unstructured":"Cockayne, E.J., Hedetniemi, S.T., Miller, D.J.: Properties of hereditary hypergraphs and middle graphs. Can. Math. Bull. 21, 461\u2013468 (1978)","journal-title":"Can. Math. Bull."},{"key":"1566_CR7","first-page":"129","volume":"217","author":"ST Hedetniemi","year":"2013","unstructured":"Hedetniemi, S.T., Rubalcaba, R.R., Slater, P.J., Walsh, M.: Few Compare to the Great Roman Empire. Congr. Numer. 217, 129\u2013136 (2013)","journal-title":"Congr. Numer."},{"key":"1566_CR8","unstructured":"Rad, N.J., Volkmann, L.: Roman domination perfect graphs. An. \u015etiin\u0163. Univ. \u201cOvidius\u201d Constan\u0163a, Ser. Mat., vol. 19, No. 3, pp. 167\u2013174 (2011)"},{"issue":"7","key":"1566_CR9","doi-asserted-by":"crossref","first-page":"585","DOI":"10.2307\/2589113","volume":"107","author":"CS ReVelle","year":"2000","unstructured":"ReVelle, C.S., Rosing, K.E.: Defendens imperium romanum: a classical problem in military strategy. Am. Math. Mon. 107(7), 585\u2013594 (2000)","journal-title":"Am. Math. Mon."},{"issue":"6","key":"1566_CR10","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1038\/scientificamerican1299-136","volume":"281","author":"I Stewart","year":"1999","unstructured":"Stewart, I.: Defend the Roman Empire!. Sci. Am. 281(6), 136\u2013139 (1999)","journal-title":"Sci. Am."},{"key":"1566_CR11","first-page":"11","volume":"52","author":"MAEE Targhi","year":"2012","unstructured":"Targhi, M.A.E.E., Rad, N.J., Moradi, M.S.: Properties of independent Roman domination in graphs. Australas. J. Combin. 52, 11\u201318 (2012)","journal-title":"Australas. J. Combin."},{"key":"1566_CR12","first-page":"351","volume":"80","author":"EE Targhi","year":"2012","unstructured":"Targhi, E.E., Rad, N.J., Mynhardt, C.M., Wu, Y.: Bounds for the independent Roman domination number in graphs. J. Combin. Math. Combin. Comput. 80, 351\u2013365 (2012)","journal-title":"J. Combin. Math. Combin. Comput."}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-015-1566-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00373-015-1566-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-015-1566-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T14:59:40Z","timestamp":1559055580000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00373-015-1566-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,26]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,1]]}},"alternative-id":["1566"],"URL":"https:\/\/doi.org\/10.1007\/s00373-015-1566-x","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"value":"0911-0119","type":"print"},{"value":"1435-5914","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3,26]]}}}