{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T12:43:39Z","timestamp":1759063419148},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2010,6]]},"abstract":"<jats:p> The Harary index is defined as the half-sum of the elements in the reciprocal distance matrix. In this paper, we investigate how the Harary index behaves when the graph is perturbed by grafting or moving edges. <\/jats:p>","DOI":"10.1142\/s1793830910000620","type":"journal-article","created":{"date-parts":[[2010,7,5]],"date-time":"2010-07-05T06:31:23Z","timestamp":1278311483000},"page":"247-255","source":"Crossref","is-referenced-by-count":2,"title":["THE HARARY INDEX OF A GRAPH UNDER PERTURBATION"],"prefix":"10.1142","volume":"02","author":[{"given":"CHANG-XIANG","family":"HE","sequence":"first","affiliation":[{"name":"College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China"}]},{"given":"PING","family":"CHEN","sequence":"additional","affiliation":[{"name":"College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China"}]},{"given":"BAO-FENG","family":"WU","sequence":"additional","affiliation":[{"name":"College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China"}]}],"member":"219","published-online":{"date-parts":[[2012,4,5]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01164638"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01164642"},{"key":"rf3","unstructured":"O.\u00a0Ivanciuc and A. T.\u00a0Balaban, Topological Indices and Related Descriptors in QSAR and QSPR, eds. J.\u00a0Devillers and A. T.\u00a0Balaban (Gordon and Breach, Amsterdam, 1999)\u00a0pp. 59\u2013167."},{"key":"rf4","unstructured":"M. V.\u00a0Diudea, M. S.\u00a0Florescu and P. V.\u00a0Khadikar, Molecular Topology and its Applications (EfiCon Press, Bucharest, 2006)\u00a0p. 57."},{"key":"rf5","series-title":"Mathematical Chemistry Monographs","volume":"3","author":"Jane\u017ei\u010d D.","year":"2007"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1021\/ja01193a005"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1021\/ci960037w"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1002\/9783527613106"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1021\/ci000068y"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-007-9339-2"},{"key":"rf11","author":"Zhou B.","journal-title":"Discrete Appl. Math."},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1080\/10629360108035370"},{"key":"rf13","first-page":"71","volume":"60","author":"Stevanmovic D.","journal-title":"Commun. Math. Comput. Chem."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830910000620","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:20:51Z","timestamp":1565126451000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830910000620"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6]]},"references-count":13,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2012,4,5]]},"published-print":{"date-parts":[[2010,6]]}},"alternative-id":["10.1142\/S1793830910000620"],"URL":"https:\/\/doi.org\/10.1142\/s1793830910000620","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6]]}}}