{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T13:01:29Z","timestamp":1765976489628,"version":"3.41.2"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,7]]},"abstract":"<jats:p> A simple graph [Formula: see text] admits an [Formula: see text]-covering if every edge in [Formula: see text] belongs to at least one subgraph of [Formula: see text] isomorphic to a given graph [Formula: see text]. The graph [Formula: see text] admits an [Formula: see text]-irregular total [Formula: see text]-labeling [Formula: see text] if [Formula: see text] admits an [Formula: see text]-covering and for every two different subgraphs [Formula: see text] and [Formula: see text] isomorphic to [Formula: see text], there is [Formula: see text], where [Formula: see text] is the associated [Formula: see text]-weight. The total [Formula: see text]-irregularity strength of [Formula: see text] is [Formula: see text]. <\/jats:p><jats:p> In this paper, we give the exact values of [Formula: see text], where [Formula: see text]. For the versions edge and vertex [Formula: see text]-irregularity strength [Formula: see text] and [Formula: see text], respectively, we determine the exact values of [Formula: see text], [Formula: see text] and [Formula: see text], where [Formula: see text] is the diamond graph. <\/jats:p>","DOI":"10.1142\/s1793830921501573","type":"journal-article","created":{"date-parts":[[2021,7,18]],"date-time":"2021-07-18T05:07:11Z","timestamp":1626584831000},"source":"Crossref","is-referenced-by-count":1,"title":["On H-irregularity strength of cycles and diamond graphs"],"prefix":"10.1142","volume":"14","author":[{"given":"Hayat","family":"Labane","sequence":"first","affiliation":[{"name":"Faculty of Mathematics, Laboratory L\u2019IFORCE, University of Sciences and Technology Houari Boumediene (USTHB), B. P. 32 El-Alia, Bab-Ezzouar, 16111 Algiers, Algeria"}]},{"given":"Isma","family":"Bouchemakh","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, Laboratory L\u2019IFORCE, University of Sciences and Technology Houari Boumediene (USTHB), B. P. 32 El-Alia, Bab-Ezzouar, 16111 Algiers, Algeria"}]},{"given":"Andrea","family":"Semani\u010dov\u00e1-Fe\u0148ov\u010d\u00edkov\u00e1","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Informatics, Technical University, Ko\u0161ice, Slovakia"}]}],"member":"219","published-online":{"date-parts":[[2021,7,16]]},"reference":[{"key":"S1793830921501573BIB001","first-page":"203","volume":"114","author":"Ahmad A.","year":"2014","journal-title":"Ars Combin."},{"key":"S1793830921501573BIB002","first-page":"129","volume":"112","author":"Ahmad A.","year":"2013","journal-title":"Ars Combin."},{"key":"S1793830921501573BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s00224-013-9470-3"},{"issue":"2","key":"S1793830921501573BIB004","first-page":"147","volume":"57","author":"Ahmad A.","year":"2014","journal-title":"Bull. Math. Soc. Sci. Math. Roumanie"},{"key":"S1793830921501573BIB005","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1619"},{"issue":"1","key":"S1793830921501573BIB006","first-page":"1","volume":"26","author":"Ahmad A.","year":"2014","journal-title":"Sci. Int. (Lahore)"},{"key":"S1793830921501573BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2012.06.017"},{"key":"S1793830921501573BIB008","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1980"},{"key":"S1793830921501573BIB009","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.2118"},{"key":"S1793830921501573BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830916500701"},{"key":"S1793830921501573BIB011","doi-asserted-by":"publisher","DOI":"10.5614\/ejgta.2020.8.1.13"},{"key":"S1793830921501573BIB012","doi-asserted-by":"publisher","DOI":"10.5614\/ejgta.2017.5.2.13"},{"key":"S1793830921501573BIB013","first-page":"1","volume":"64","author":"Ashraf F.","year":"2019","journal-title":"AKCE Int. J. Graphs Comb."},{"key":"S1793830921501573BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2005.11.075"},{"key":"S1793830921501573BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.03.001"},{"key":"S1793830921501573BIB016","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.20287"},{"key":"S1793830921501573BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/s00224-011-9350-7"},{"issue":"3","key":"S1793830921501573BIB018","first-page":"105","volume":"11","author":"Hinding N.","year":"2006","journal-title":"J. Math. Saint"},{"key":"S1793830921501573BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2010.06.041"},{"key":"S1793830921501573BIB020","first-page":"163","volume":"65","author":"Hinding N.","year":"2008","journal-title":"J. Combin. Math. Combin. Comput."},{"key":"S1793830921501573BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.akcej.2017.10.003"},{"key":"S1793830921501573BIB022","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1337"},{"issue":"2","key":"S1793830921501573BIB023","first-page":"147","volume":"10","author":"Indriati D.","year":"2013","journal-title":"AKCE Int. J. Graphs Comb."},{"key":"S1793830921501573BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2009.03.006"},{"key":"S1793830921501573BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.endm.2015.05.026"},{"key":"S1793830921501573BIB026","first-page":"73","volume":"9","author":"Jeyanthi P.","year":"2019","journal-title":"J. Int. Math. Virtual Inst."},{"key":"S1793830921501573BIB027","first-page":"147","volume":"36","author":"Mi\u0161kuf J.","year":"2007","journal-title":"Tatra Mt. Math. Publ."},{"key":"S1793830921501573BIB028","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1980"},{"key":"S1793830921501573BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/j.akcej.2018.02.002"},{"key":"S1793830921501573BIB030","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1211\/1\/012005"},{"key":"S1793830921501573BIB031","doi-asserted-by":"publisher","DOI":"10.1142\/S1793557120500722"},{"key":"S1793830921501573BIB032","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1008\/1\/012027"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921501573","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,2]],"date-time":"2022-08-02T04:50:16Z","timestamp":1659415816000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793830921501573"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,16]]},"references-count":32,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2022,7]]}},"alternative-id":["10.1142\/S1793830921501573"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921501573","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2021,7,16]]},"article-number":"2150157"}}