{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:26:16Z","timestamp":1771673176694,"version":"3.50.1"},"reference-count":21,"publisher":"Informa UK Limited","issue":"1","license":[{"start":{"date-parts":[[2024,11,11]],"date-time":"2024-11-11T00:00:00Z","timestamp":1731283200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["AKCE International Journal of Graphs and Combinatorics"],"published-print":{"date-parts":[[2025,1,2]]},"DOI":"10.1080\/09728600.2024.2421988","type":"journal-article","created":{"date-parts":[[2024,11,11]],"date-time":"2024-11-11T18:38:41Z","timestamp":1731350321000},"page":"94-105","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":1,"title":["Further results on outer independent triple Roman domination"],"prefix":"10.1080","volume":"22","author":[{"given":"F.","family":"Najafi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University","place":["Tabriz, I. R. Iran"]}]},{"given":"J.","family":"Amjadi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University","place":["Tabriz, I. R. Iran"]}]},{"given":"S. M.","family":"Sheikholeslami","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University","place":["Tabriz, I. R. Iran"]}]},{"given":"M.","family":"Chellali","sequence":"additional","affiliation":[{"name":"LAMDA-RO Laboratory, Department of Mathematics, University of Blida","place":["Blida, Algeria"]}]},{"given":"S.","family":"Kosari","sequence":"additional","affiliation":[{"name":"Institute of Computing Science and Technology, Guangzhou University","place":["Guangzhou, China"]}]}],"member":"301","published-online":{"date-parts":[[2024,11,11]]},"reference":[{"key":"e_1_3_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2020.125444"},{"key":"e_1_3_1_3_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2017.1301437"},{"key":"e_1_3_1_4_1","first-page":"124617","article-title":"Outer independent double Roman domination","volume":"364","author":"Abdollahzadeh Ahangar H.","year":"2020","unstructured":"Abdollahzadeh Ahangar, H., Chellali, M., Sheikholeslami, S. M. (2020). Outer independent double Roman domination. Appl. Math. Comput. 364: 124617.","journal-title":"Appl. Math. Comput"},{"key":"e_1_3_1_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2016.03.017"},{"key":"e_1_3_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(98)00103-4"},{"key":"e_1_3_1_7_1","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.2179"},{"key":"e_1_3_1_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-51117-3_11"},{"key":"e_1_3_1_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-58892-2_10"},{"key":"e_1_3_1_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.akcej.2019.12.001"},{"key":"e_1_3_1_11_1","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.2313"},{"key":"e_1_3_1_12_1","first-page":"141","article-title":"A survey on Roman domination parameters in directed graphs","volume":"115","author":"Chellali M.","year":"2020","unstructured":"Chellali, M., Jafari Rad, N., Sheikholeslami, S. M., Volkmann, L. (2020). A survey on Roman domination parameters in directed graphs. J. Combin. Math. Combin. Comput. 115: 141\u2013171.","journal-title":"J. Combin. Math. Combin. Comput"},{"key":"e_1_3_1_13_1","first-page":"273","article-title":"Outer-independent Roman domination number of tree","volume":"6","author":"Dehgari N.","year":"2021","unstructured":"Dehgari, N., Chellali, M. (2021). Outer-independent Roman domination number of tree. Commun. Comb. Optim. 6: 273\u2013286.","journal-title":"Commun. Comb. Optim"},{"key":"e_1_3_1_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01848079"},{"key":"e_1_3_1_15_1","first-page":"505","article-title":"An upper bound on triple Roman domination","volume":"8","author":"Hajjari M.","year":"2023","unstructured":"Hajjari, M., Abdollahzadeh Ahangar, H., Khoeilar, R., Shao, Z., Sheikholeslami, S. M. (2023). An upper bound on triple Roman domination. Commun. Comb. Optim. 8: 505\u2013511.","journal-title":"Commun. Comb. Optim"},{"key":"e_1_3_1_16_1","doi-asserted-by":"publisher","DOI":"10.1080\/09728600.2023.2241531"},{"key":"e_1_3_1_17_1","unstructured":"Kosari S. Najafi F. Amjadi J. Chellali M. Sheikholeslami S. M. Outer independent triple Roman domination submitted."},{"key":"e_1_3_1_18_1","doi-asserted-by":"publisher","DOI":"10.1007\/s41980-021-00606-7"},{"key":"e_1_3_1_19_1","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190060104"},{"key":"e_1_3_1_20_1","first-page":"217","article-title":"Algorithmic complexity of triple Roman dominating functions on graphs","volume":"9","author":"Poureidi A.","year":"2024","unstructured":"Poureidi, A., Fathali, J. (2024). Algorithmic complexity of triple Roman dominating functions on graphs. Commun. Comb. Optim. 9: 217\u2013232.","journal-title":"Commun. Comb. Optim"},{"key":"e_1_3_1_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/s41980-024-00872-1"},{"key":"e_1_3_1_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(99)00251-4"}],"container-title":["AKCE International Journal of Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/09728600.2024.2421988","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,6]],"date-time":"2025-03-06T16:32:50Z","timestamp":1741278770000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/09728600.2024.2421988"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,11]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,1,2]]}},"alternative-id":["10.1080\/09728600.2024.2421988"],"URL":"https:\/\/doi.org\/10.1080\/09728600.2024.2421988","relation":{},"ISSN":["0972-8600","2543-3474"],"issn-type":[{"value":"0972-8600","type":"print"},{"value":"2543-3474","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,11]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uakc20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uakc20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2024-04-30","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-10-08","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-10-21","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-11-11","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}