{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T12:48:13Z","timestamp":1759063693383,"version":"3.37.3"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,10,25]],"date-time":"2022-10-25T00:00:00Z","timestamp":1666656000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,10,25]],"date-time":"2022-10-25T00:00:00Z","timestamp":1666656000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1007\/s10957-022-02119-7","type":"journal-article","created":{"date-parts":[[2022,10,25]],"date-time":"2022-10-25T20:03:06Z","timestamp":1666728186000},"page":"903-918","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Graph Classes with Locally Irregular Chromatic Index at most 4"],"prefix":"10.1007","volume":"195","author":[{"given":"Hui","family":"Lei","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2837-1420","authenticated-orcid":false,"given":"Xiaopan","family":"Lian","sequence":"additional","affiliation":[]},{"given":"Yongtang","family":"Shi","sequence":"additional","affiliation":[]},{"given":"Ran","family":"Zhao","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,10,25]]},"reference":[{"key":"2119_CR1","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1016\/j.ejc.2015.02.031","volume":"49","author":"O Baudon","year":"2015","unstructured":"Baudon, O., Bensmail, J., Przyby\u0142o, J., Wo\u017aniak, M.: On decomposing regular graphs into locally irregular subgraphs. Eur. J. Combin. 49, 90\u2013104 (2015)","journal-title":"Eur. J. Combin."},{"key":"2119_CR2","doi-asserted-by":"publisher","first-page":"1869","DOI":"10.1007\/s00373-020-02193-6","volume":"36","author":"J Bensmail","year":"2020","unstructured":"Bensmail, J., Dross, F., Nisse, N.: Decomposing degenerate graphs into locally irregular subgraphs. Graphs Comb. 36, 1869\u20131889 (2020)","journal-title":"Graphs Comb."},{"key":"2119_CR3","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1016\/j.ejc.2016.09.011","volume":"60","author":"J Bensmail","year":"2017","unstructured":"Bensmail, J., Merker, M., Thomassen, C.: Decomposing graphs into a constant number of locally irregular subgraphs. Eur. J. Comb. 60, 124\u2013134 (2017)","journal-title":"Eur. J. Comb."},{"key":"2119_CR4","doi-asserted-by":"publisher","first-page":"1707","DOI":"10.1007\/s00373-016-1705-z","volume":"32","author":"J Bensmail","year":"2016","unstructured":"Bensmail, J., Renault, G.: Decomposing oriented graphs into six locally irregular oriented graphs. Graphs Comb. 32, 1707\u20131721 (2016)","journal-title":"Graphs Comb."},{"key":"2119_CR5","first-page":"43","volume":"17","author":"J Bensmail","year":"2016","unstructured":"Bensmail, J., Stevens, B.: Edge-partitioning graphs into regular and locally irregular components. Discrete Math. Theor. Comput. Sci. 17, 43\u201358 (2016)","journal-title":"Discrete Math. Theor. Comput. Sci."},{"key":"2119_CR6","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.jctb.2003.12.001","volume":"91","author":"M Karo\u0144ski","year":"2004","unstructured":"Karo\u0144ski, M., \u0141uczak, T., Thomason, A.: Edge weights and vertex colours. J. Comb. Theory Ser. B 91, 151\u2013157 (2004)","journal-title":"J. Comb. Theory Ser. B"},{"key":"2119_CR7","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/j.dam.2020.12.002","volume":"292","author":"CN Lintzmayer","year":"2021","unstructured":"Lintzmayer, C.N., Mota, G.O., Sambinelli, M.: Decomposing split graphs into locally irregular graphs. Discrete Appl. Math. 292, 33\u201344 (2021)","journal-title":"Discrete Appl. Math."},{"key":"2119_CR8","doi-asserted-by":"publisher","first-page":"1425","DOI":"10.1007\/s10878-018-0313-7","volume":"36","author":"B Lu\u017ear","year":"2018","unstructured":"Lu\u017ear, B., Przyby\u0142o, J., Sots\u00e1k, R.: New bounds for locally irregular chromatic index of bipartite and subcubic graphs. J. Comb. Optim. 36, 1425\u20131438 (2018)","journal-title":"J. Comb. Optim."},{"key":"2119_CR9","first-page":"2","volume":"23","author":"J Przyby\u0142o","year":"2016","unstructured":"Przyby\u0142o, J.: On decomposing graphs of large minimum degree into locally irregular subgraphs. Electron. J. Comb. 23, 2\u201331 (2016)","journal-title":"Electron. J. Comb."},{"key":"2119_CR10","doi-asserted-by":"publisher","first-page":"3209","DOI":"10.3390\/math9243209","volume":"9","author":"J Sedlar","year":"2021","unstructured":"Sedlar, J., \u0160krekovski, R.: Remarks on the local irregularity conjecture. Mathematics 9, 3209\u20133218 (2021)","journal-title":"Mathematics"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-022-02119-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10957-022-02119-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-022-02119-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,15]],"date-time":"2022-11-15T22:13:14Z","timestamp":1668550394000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10957-022-02119-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,25]]},"references-count":10,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,12]]}},"alternative-id":["2119"],"URL":"https:\/\/doi.org\/10.1007\/s10957-022-02119-7","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"type":"print","value":"0022-3239"},{"type":"electronic","value":"1573-2878"}],"subject":[],"published":{"date-parts":[[2022,10,25]]},"assertion":[{"value":"17 January 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 September 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 October 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}