{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T20:17:06Z","timestamp":1768076226550,"version":"3.49.0"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2019,6,27]],"date-time":"2019-06-27T00:00:00Z","timestamp":1561593600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,6,27]],"date-time":"2019-06-27T00:00:00Z","timestamp":1561593600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2020,2]]},"DOI":"10.1007\/s12190-019-01271-0","type":"journal-article","created":{"date-parts":[[2019,6,27]],"date-time":"2019-06-27T15:04:38Z","timestamp":1561647878000},"page":"23-35","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Eccentric connectivity coindex under graph operations"],"prefix":"10.1007","volume":"62","author":[{"given":"Mahdieh","family":"Azari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,6,27]]},"reference":[{"key":"1271_CR1","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/0378-8733(94)00248-9","volume":"17","author":"P Hage","year":"1995","unstructured":"Hage, P., Harary, F.: Eccentricity and centrality in networks. Soc. Netw. 17, 57\u201363 (1995)","journal-title":"Soc. Netw."},{"key":"1271_CR2","volume-title":"QSPR\/QSAR Studies by Molecular Descriptors","author":"MV Diudea","year":"2001","unstructured":"Diudea, M.V.: QSPR\/QSAR Studies by Molecular Descriptors. NOVA, New York (2001)"},{"key":"1271_CR3","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1016\/0009-2614(72)85099-1","volume":"17","author":"I Gutman","year":"1972","unstructured":"Gutman, I., Trinajsti\u0107, N.: Graph theory and molecular orbitals. Total $$\\pi $$-electron energy of alternant hydrocarbons. Chem. Phys. Lett. 17, 535\u2013538 (1972)","journal-title":"Chem. Phys. Lett."},{"key":"1271_CR4","doi-asserted-by":"publisher","first-page":"3399","DOI":"10.1063\/1.430994","volume":"62","author":"I Gutman","year":"1975","unstructured":"Gutman, I., Ru\u0161\u010di\u0107, B., Trinajsti\u0107, N., Wilcox, C.F.: Graph theory and molecular orbitals. XII. Acyclic polyenes. J. Chem. Phys. 62, 3399\u20133405 (1975)","journal-title":"J. Chem. Phys."},{"key":"1271_CR5","first-page":"17","volume":"78","author":"B Borovi\u0107anin","year":"2017","unstructured":"Borovi\u0107anin, B., Das, K.C., Furtula, B., Gutman, I.: Bounds for Zagreb indices. MATCH Commun. Math. Comput. Chem. 78, 17\u2013100 (2017)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"1271_CR6","first-page":"5","volume":"80","author":"A Ali","year":"2018","unstructured":"Ali, A., Gutman, I., Milovanovi\u0107, E., Milovanovi\u0107, I.: Sum of powers of the degrees of graphs: extremal results and bounds. MATCH Commun. Math. Comput. Chem. 80, 5\u201384 (2018)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"1271_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.akcej.2018.05.002","author":"I Gutman","year":"2018","unstructured":"Gutman, I., Milovanovi\u0107, E., Milovanovi\u0107, I.: Beyond the Zagreb indices. AKCE Int. J. Graphs Comb. (2018). \nhttps:\/\/doi.org\/10.1016\/j.akcej.2018.05.002","journal-title":"AKCE Int. J. Graphs Comb."},{"key":"1271_CR8","first-page":"249","volume":"81","author":"A Ali","year":"2019","unstructured":"Ali, A., Zhong, L., Gutman, I.: Harmonic index and its generalizations: extremal results and bounds. MATCH Commun. Math. Comput. Chem. 81, 249\u2013311 (2019)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"1271_CR9","doi-asserted-by":"publisher","first-page":"66","DOI":"10.26493\/1855-3974.15.895","volume":"1","author":"T Do\u0161li\u0107","year":"2008","unstructured":"Do\u0161li\u0107, T.: Vertex-weighted Wiener polynomials for composite graphs. Ars Math. Contemp. 1, 66\u201380 (2008)","journal-title":"Ars Math. Contemp."},{"key":"1271_CR10","doi-asserted-by":"publisher","first-page":"1571","DOI":"10.1016\/j.dam.2010.05.017","volume":"158","author":"AR Ashrafi","year":"2010","unstructured":"Ashrafi, A.R., Do\u0161li\u0107, T., Hamzeh, A.: The Zagreb coindices of graph operations. Discrete Appl. Math. 158, 1571\u20131578 (2010)","journal-title":"Discrete Appl. Math."},{"key":"1271_CR11","first-page":"5","volume":"74","author":"I Gutman","year":"2015","unstructured":"Gutman, I., Furtula, B., Kovijani\u0107 Vuki\u0107evi\u0107, \u017d., Popivoda, G.: On Zagreb indices and coindices. MATCH Commun. Math. Comput. Chem. 74, 5\u201316 (2015)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"1271_CR12","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1021\/ci960049h","volume":"37","author":"V Sharma","year":"1997","unstructured":"Sharma, V., Goswami, R., Madan, A.K.: Eccentric connectivity index: a novel highly discriminating topological descriptor for structure\u2013property and structure\u2013activity studies. J. Chem. Inf. Comput. Sci. 37, 273\u2013282 (1997)","journal-title":"J. Chem. Inf. Comput. Sci."},{"key":"1271_CR13","first-page":"731","volume":"65","author":"A Ili\u0107","year":"2011","unstructured":"Ili\u0107, A., Gutman, I.: Eccentric connectivity index of chemical trees. MATCH Commun. Math. Comput. Chem. 65, 731\u2013744 (2011)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"issue":"3","key":"1271_CR14","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1016\/j.dam.2011.09.010","volume":"160","author":"MJ Morgan","year":"2012","unstructured":"Morgan, M.J., Mukwembi, S., Swart, H.C.: A lower bound on the eccentric connectivity index of a graph. Discrete Appl. Math. 160(3), 248\u2013258 (2012)","journal-title":"Discrete Appl. Math."},{"key":"1271_CR15","doi-asserted-by":"publisher","first-page":"499","DOI":"10.5562\/cca3028","volume":"89","author":"K Xu","year":"2016","unstructured":"Xu, K., Li, X.: Comparison between two eccentricity-based topological indices of graphs. Croat. Chem. Acta 89, 499\u2013504 (2016)","journal-title":"Croat. Chem. Acta"},{"issue":"3","key":"1271_CR16","doi-asserted-by":"publisher","first-page":"947","DOI":"10.1007\/s40840-017-0528-2","volume":"42","author":"H Hua","year":"2019","unstructured":"Hua, H., Miao, Z.: The total eccentricity sum of non-adjacent vertex pairs in graphs. Bull. Malays. Math. Sci. Soc. 42(3), 947\u2013963 (2019)","journal-title":"Bull. Malays. Math. Sci. Soc."},{"key":"1271_CR17","doi-asserted-by":"publisher","DOI":"10.1201\/b10959","volume-title":"Handbook of Product Graphs","author":"R Hammack","year":"2011","unstructured":"Hammack, R., Imrich, W., Klav\u017ear, S.: Handbook of Product Graphs, 2nd edn. CRC Press, Boca Raton (2011)","edition":"2"},{"issue":"1","key":"1271_CR18","first-page":"187","volume":"37","author":"M Tavakoli","year":"2013","unstructured":"Tavakoli, M., Rahbarnia, F., Ashrafi, A.R.: Note on strong product of graphs. Kragujev. J. Math. 37(1), 187\u2013193 (2013)","journal-title":"Kragujev. J. Math."},{"issue":"18","key":"1271_CR19","doi-asserted-by":"publisher","first-page":"2827","DOI":"10.1016\/j.dam.2013.06.003","volume":"161","author":"M Azari","year":"2013","unstructured":"Azari, M., Iranmanesh, A.: Computing the eccentric-distance sum for graph operations. Discrete Appl. Math. 161(18), 2827\u20132840 (2013)","journal-title":"Discrete Appl. Math."},{"key":"1271_CR20","first-page":"409","volume":"239C","author":"M Azari","year":"2014","unstructured":"Azari, M.: Sharp lower bounds on the Narumi\u2013Katayama index of graph operations. Appl. Math. Comput. 239C, 409\u2013421 (2014)","journal-title":"Appl. Math. Comput."},{"key":"1271_CR21","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/j.endm.2013.11.025","volume":"45","author":"K Fathalikhani","year":"2014","unstructured":"Fathalikhani, K., Faramarzi, H., Yousefi-Azari, H.: Total eccentricity of some graph operations. Electron. Notes Discret. Math. 45, 125\u2013131 (2014)","journal-title":"Electron. Notes Discret. Math."},{"issue":"2","key":"1271_CR22","doi-asserted-by":"publisher","first-page":"761","DOI":"10.18514\/MMN.2017.1867","volume":"17","author":"M Azari","year":"2016","unstructured":"Azari, M.: Some variants of the Szeged index under rooted product of graphs. Miskolc Math. Notes 17(2), 761\u2013775 (2016)","journal-title":"Miskolc Math. Notes"},{"issue":"2","key":"1271_CR23","doi-asserted-by":"publisher","first-page":"1650025","DOI":"10.1142\/S1793830916500257","volume":"8","author":"N De","year":"2016","unstructured":"De, N., Nayeem, S.M.A., Pal, A.: F-index of some graph operations. Discrete Math. Algorithms Appl. 8(2), 1650025 (2016)","journal-title":"Discrete Math. Algorithms Appl."},{"issue":"1\u20132","key":"1271_CR24","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/s12190-015-0872-z","volume":"50","author":"M Veylaki","year":"2016","unstructured":"Veylaki, M., Nikmehr, M.J., Tavallaee, H.A.: The third and hyper-Zagreb coindices of graph operations. J. Appl. Math. Comput. 50(1\u20132), 315\u2013325 (2016)","journal-title":"J. Appl. Math. Comput."},{"issue":"1\u20132","key":"1271_CR25","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1007\/s12190-016-0986-y","volume":"53","author":"B Basavanagoud","year":"2017","unstructured":"Basavanagoud, B., Patil, S.: A note on hyper-Zagreb coindex of graph operations. J. Appl. Math. Comput. 53(1\u20132), 647\u2013655 (2017)","journal-title":"J. Appl. Math. Comput."},{"issue":"1\u20132","key":"1271_CR26","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1007\/s12190-016-1008-9","volume":"54","author":"W Gao","year":"2017","unstructured":"Gao, W., Jamil, M.K., Farahani, M.R.: The hyper-Zagreb index and some graph operations. J. Appl. Math. Comput. 54(1\u20132), 263\u2013275 (2017)","journal-title":"J. Appl. Math. Comput."},{"issue":"1\u20132","key":"1271_CR27","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/s12190-016-0997-8","volume":"54","author":"S Hossein-Zadeh","year":"2017","unstructured":"Hossein-Zadeh, S., Iranmanesh, A., Hosseinzadeh, M.A., Hamzeh, A., Tavakoli, M., Ashrafi, A.R.: Topological efficiency under graph operations. J. Appl. Math. Comput. 54(1\u20132), 69\u201380 (2017)","journal-title":"J. Appl. Math. Comput."},{"issue":"3","key":"1271_CR28","doi-asserted-by":"publisher","first-page":"749","DOI":"10.7153\/jmi-2017-11-59","volume":"11","author":"Y Nacaroglu","year":"2017","unstructured":"Nacaroglu, Y., Maden, A.D.: The upper bounds for multiplicative sum Zagreb index of some graph Operations. J. Math. Ineqal. 11(3), 749\u2013761 (2017)","journal-title":"J. Math. Ineqal."},{"issue":"14","key":"1271_CR29","doi-asserted-by":"publisher","first-page":"5137","DOI":"10.2298\/FIL1814137A","volume":"32","author":"M Azari","year":"2018","unstructured":"Azari, M.: Further results on non-self-centrality measures of graphs. Filomat 32(14), 5137\u20135148 (2018)","journal-title":"Filomat"},{"issue":"12","key":"1271_CR30","doi-asserted-by":"publisher","first-page":"3871","DOI":"10.1016\/j.disc.2008.10.028","volume":"309","author":"L Barri\u00e8re","year":"2009","unstructured":"Barri\u00e8re, L., Dalf\u00f3, C., Fiol, M.A., Mitjana, M.: The generalized hierarchical product of graphs. Discrete Math. 309(12), 3871\u20133881 (2009)","journal-title":"Discrete Math."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-019-01271-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12190-019-01271-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-019-01271-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,30]],"date-time":"2020-07-30T13:35:08Z","timestamp":1596116108000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12190-019-01271-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,27]]},"references-count":30,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2020,2]]}},"alternative-id":["1271"],"URL":"https:\/\/doi.org\/10.1007\/s12190-019-01271-0","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"value":"1598-5865","type":"print"},{"value":"1865-2085","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,6,27]]},"assertion":[{"value":"19 April 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2019","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}