{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:45Z","timestamp":1740134565812,"version":"3.37.3"},"reference-count":11,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11126326","S2012010010815","2013LYM-0095"],"award-info":[{"award-number":["11126326","S2012010010815","2013LYM-0095"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003453","name":"Natural Science Foundation of Guangdong Province","doi-asserted-by":"crossref","award":["11126326","S2012010010815","2013LYM-0095"],"award-info":[{"award-number":["11126326","S2012010010815","2013LYM-0095"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012243","name":"Foundation for Distinguished Young Talents in Higher Education of Guangdong","doi-asserted-by":"crossref","award":["11126326","S2012010010815","2013LYM-0095"],"award-info":[{"award-number":["11126326","S2012010010815","2013LYM-0095"]}],"id":[{"id":"10.13039\/501100012243","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The Wiener polarity index of a connected graph<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>G<\/mml:mi><\/mml:mrow><\/mml:math>is defined as the number of its pairs of vertices that are at distance three. By introducing some graph transformations, in different way with that of Huang et al., 2013, we determine the minimum Wiener polarity index of unicyclic graphs with any given maximum degree and girth, and characterize extremal graphs. These observations lead to the determination of the minimum Wiener polarity index of unicyclic graphs and the characterization of the extremal graphs.<\/jats:p>","DOI":"10.1155\/2014\/316108","type":"journal-article","created":{"date-parts":[[2014,11,9]],"date-time":"2014-11-09T21:01:23Z","timestamp":1415566883000},"page":"1-9","source":"Crossref","is-referenced-by-count":1,"title":["On Minimum Wiener Polarity Index of Unicyclic Graphs with Prescribed Maximum Degree"],"prefix":"10.1155","volume":"2014","author":[{"given":"Jianping","family":"Ou","sequence":"first","affiliation":[{"name":"Department of Mathematics, Wuyi University, Jiangmen 529020, China"}]},{"given":"Xing","family":"Feng","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Wuyi University, Jiangmen 529020, China"}]},{"given":"Saihua","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Wuyi University, Jiangmen 529020, China"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"11","DOI":"10.1021\/ja01193a005"},{"issue":"4","key":"9","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1021\/ci970122j","volume":"38","year":"1998","journal-title":"Journal of Chemical Information and Computer Sciences"},{"year":"2002","key":"10"},{"issue":"1","key":"8","first-page":"293","volume":"66","year":"2011","journal-title":"MATCH: Communications in Mathematical and in Computer Chemistry"},{"issue":"1","key":"4","first-page":"235","volume":"62","year":"2009","journal-title":"MATCH: Communications in Mathematical and in Computer Chemistry"},{"doi-asserted-by":"publisher","key":"3","DOI":"10.1016\/j.aml.2010.02.013"},{"doi-asserted-by":"publisher","key":"2","DOI":"10.1016\/j.aml.2012.01.006"},{"doi-asserted-by":"publisher","key":"5","DOI":"10.1016\/j.amc.2012.03.090"},{"key":"6","first-page":"193","volume":"92","year":"2013","journal-title":"Utilitas Mathematica"},{"doi-asserted-by":"publisher","key":"1","DOI":"10.1007\/978-1-84628-970-5"},{"doi-asserted-by":"publisher","key":"7","DOI":"10.1016\/j.camwa.2010.07.045"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/316108.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/316108.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/316108.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,12]],"date-time":"2020-05-12T12:28:13Z","timestamp":1589286493000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/316108\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":11,"alternative-id":["316108","316108"],"URL":"https:\/\/doi.org\/10.1155\/2014\/316108","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}