{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:22Z","timestamp":1740155962574,"version":"3.37.3"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100004735","name":"Natural Science Foundation of Hunan Province","doi-asserted-by":"publisher","award":["2018JJ2249"],"award-info":[{"award-number":["2018JJ2249"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010083","name":"Hunan Provincial Innovation Foundation for Postgraduate","doi-asserted-by":"publisher","award":["CX2017B170"],"award-info":[{"award-number":["CX2017B170"]}],"id":[{"id":"10.13039\/501100010083","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009377","name":"Education Department of Hunan Province","doi-asserted-by":"publisher","award":["18A382"],"award-info":[{"award-number":["18A382"]}],"id":[{"id":"10.13039\/100009377","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009377","name":"Education Department of Hunan Province","doi-asserted-by":"publisher","award":["18A376"],"award-info":[{"award-number":["18A376"]}],"id":[{"id":"10.13039\/100009377","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,4]]},"abstract":"<jats:p> Let [Formula: see text] be a topological index of a graph. If [Formula: see text] (or [Formula: see text], respectively) for each edge [Formula: see text], then [Formula: see text] is monotonically decreasing (or increasing, respectively) with the addition of edges. In this paper, by a unified approach, we determine the extremal values of some monotonic topological indices, including the Wiener index, the hyper-Wiener index, the Harary index, the connective eccentricity index, the eccentricity distance sum, among all connected bipartite graphs with a given number of cut edges, and characterize the corresponding extremal graphs, respectively. <\/jats:p>","DOI":"10.1142\/s1793830920500159","type":"journal-article","created":{"date-parts":[[2019,11,20]],"date-time":"2019-11-20T03:23:41Z","timestamp":1574220221000},"page":"2050015","source":"Crossref","is-referenced-by-count":2,"title":["On extremal bipartite graphs with given number of cut edges"],"prefix":"10.1142","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3692-5411","authenticated-orcid":false,"given":"Hanlin","family":"Chen","sequence":"first","affiliation":[{"name":"College of Computer Engineering and Applied Mathematics, Changsha University, Changsha, Hunan 410022, P. R. China"}]},{"given":"Renfang","family":"Wu","sequence":"additional","affiliation":[{"name":"MOE-LCSM, College of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2020,1,21]]},"reference":[{"key":"S1793830920500159BIB001","first-page":"103","volume":"280","author":"Chen H.","year":"2016","journal-title":"Appl. Math. Comput."},{"key":"S1793830920500159BIB002","first-page":"103","volume":"78","author":"Chen H.","year":"2017","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"S1793830920500159BIB003","first-page":"133","volume":"81","author":"Cambie S.","year":"2019","journal-title":"MATCH Commun. Math. Comput. Chem."},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB004","DOI":"10.1016\/j.dam.2017.01.028"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB005","DOI":"10.1016\/S1093-3263(00)00027-9"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB006","DOI":"10.1006\/jmaa.2000.7243"},{"key":"S1793830920500159BIB007","first-page":"643","volume":"61","author":"Hua H.","year":"2009","journal-title":"MATCH Commun. Math. Comput. Chem."},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB008","DOI":"10.1016\/j.dam.2011.10.002"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB009","DOI":"10.1016\/j.dam.2018.04.011"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB010","DOI":"10.1007\/BF01164642"},{"key":"S1793830920500159BIB011","first-page":"119","volume":"81","author":"Knor M.","year":"2019","journal-title":"MATCH Commun. Math. Comput. Chem."},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB012","DOI":"10.1016\/j.jmaa.2017.05.003"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB013","DOI":"10.1016\/j.dam.2013.12.010"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB014","DOI":"10.1016\/j.jmaa.2015.05.032"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB015","DOI":"10.1016\/j.jmaa.2015.07.057"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB016","DOI":"10.1007\/BF01164638"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB017","DOI":"10.1016\/0009-2614(93)87094-J"},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB018","DOI":"10.1021\/ja01193a005"},{"key":"S1793830920500159BIB019","first-page":"188","volume":"298","author":"Wu R.","year":"2017","journal-title":"Appl. Math. Comput."},{"key":"S1793830920500159BIB020","first-page":"153","volume":"84","author":"Xu K.","year":"2011","journal-title":"Util. Math."},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB021","DOI":"10.1016\/j.dam.2017.08.010"},{"key":"S1793830920500159BIB022","first-page":"611","volume":"69","author":"Yu G.","year":"2013","journal-title":"MATCH Commun. Math. Comput. Chem."},{"doi-asserted-by":"publisher","key":"S1793830920500159BIB023","DOI":"10.1016\/j.dam.2018.03.063"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830920500159","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,18]],"date-time":"2020-05-18T05:59:28Z","timestamp":1589781568000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830920500159"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,21]]},"references-count":23,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2020,4]]}},"alternative-id":["10.1142\/S1793830920500159"],"URL":"https:\/\/doi.org\/10.1142\/s1793830920500159","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2020,1,21]]}}}