{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T07:04:11Z","timestamp":1760598251823,"version":"3.37.3"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T00:00:00Z","timestamp":1691712000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T00:00:00Z","timestamp":1691712000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"UGC, New Delhi under junior research fellowship","award":["201610002863"],"award-info":[{"award-number":["201610002863"]}]},{"name":"CSIR, New Delhi under junior research fellowship","award":["SRF (CSIR-Award no:09\/382(0229)\/2019- EMR-I)."],"award-info":[{"award-number":["SRF (CSIR-Award no:09\/382(0229)\/2019- EMR-I)."]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2023,10]]},"DOI":"10.1007\/s12190-023-01906-3","type":"journal-article","created":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T05:01:38Z","timestamp":1691730098000},"page":"3835-3849","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The extreme vertices of the power graph of group $$S_n$$"],"prefix":"10.1007","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-7912-5124","authenticated-orcid":false,"given":"Usha","family":"Kumari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0323-1907","authenticated-orcid":false,"given":"Renu","family":"Yadav","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7820-8037","authenticated-orcid":false,"given":"Amit","family":"Sehgal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7219-9387","authenticated-orcid":false,"given":"Seema","family":"Mehra","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,8,11]]},"reference":[{"issue":"12","key":"1906_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.heliyon.2022.e12443","volume":"8","author":"OA AbuGhneim","year":"2022","unstructured":"AbuGhneim, O.A., Abudayah, M.: The extreme vertices of the power graph of a group. Heliyon 8(12), e12443 (2022)","journal-title":"Heliyon"},{"issue":"13","key":"1906_CR2","doi-asserted-by":"publisher","first-page":"1220","DOI":"10.1016\/j.disc.2010.02.011","volume":"311","author":"PJ Cameron","year":"2011","unstructured":"Cameron, P.J., Ghosh, S.: The power graph of a finite group. Discrete Math. 311(13), 1220\u20131222 (2011)","journal-title":"Discrete Math."},{"key":"1906_CR3","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1007\/s00233-008-9132-y","volume":"78","author":"I Chakrabarty","year":"2009","unstructured":"Chakrabarty, I., Ghosh, S., Sen, M.K.: Undirected power graphs of semigroups. Semigroup Forum 78, 410\u2013426 (2009)","journal-title":"Semigroup Forum"},{"issue":"2","key":"1906_CR4","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1007\/s10801-013-0490-5","volume":"40","author":"B Curtin","year":"2014","unstructured":"Curtin, B., Pourgholi, G.R.: Edge-maximality of power graphs of finite cyclic groups. J. Algebr. Comb. 40(2), 313\u2013330 (2014)","journal-title":"J. Algebr. Comb."},{"key":"1906_CR5","volume-title":"Contemporary Abstract Algebra","author":"JA Gallian","year":"1999","unstructured":"Gallian, J.A.: Contemporary Abstract Algebra. Norosa, Chennai (1999)"},{"key":"1906_CR6","unstructured":"Kelarev, A.V., Quinn, S.J.: A combinatorial property and power graphs of groups. In: Contributions to General Algebra 12, Proceedings of the Vienna Conference, pp. 229\u2013236 (2000)"},{"issue":"1","key":"1906_CR7","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1006\/jabr.2001.9128","volume":"251","author":"AV Kelarev","year":"2002","unstructured":"Kelarev, A.V., Quinn, S.J.: Directed graphs and combinatorial properties of semigroups. J. Algebra 251(1), 16\u201326 (2002)","journal-title":"J. Algebra"},{"key":"1906_CR8","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1080\/09728600.2021.1953359","volume":"18","author":"A Kumar","year":"2021","unstructured":"Kumar, A., Selvaganesh, L., Cameron, P.J., Chelvam, T.T.: Recent developments on the power graph of finite groups: a survey. AKCE Int. J. Graphs Comb. 18, 65\u201394 (2021)","journal-title":"AKCE Int. J. Graphs Comb."},{"issue":"07","key":"1906_CR9","doi-asserted-by":"publisher","first-page":"2250121","DOI":"10.1142\/S1793557122501212","volume":"15","author":"A Sehgal","year":"2022","unstructured":"Sehgal, A., Takshak, N., Maan, P., Malik, A.: Graceful labeling of power graph of group $${{Z}_2}^{k-1} \\times {Z}_4$$. Asian Eur. J. Math. 15(07), 2250121 (2022)","journal-title":"Asian Eur. J. Math."},{"key":"1906_CR10","first-page":"289","volume":"47","author":"A Sehgal","year":"2023","unstructured":"Sehgal, A., Singh, S.N.: The degree of a vertex in the power graph of a finite abelian group. Southeast Asian Bull. Math. 47, 289\u2013296 (2023)","journal-title":"Southeast Asian Bull. Math."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-023-01906-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12190-023-01906-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-023-01906-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T14:34:18Z","timestamp":1695825258000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12190-023-01906-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,11]]},"references-count":10,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2023,10]]}},"alternative-id":["1906"],"URL":"https:\/\/doi.org\/10.1007\/s12190-023-01906-3","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"type":"print","value":"1598-5865"},{"type":"electronic","value":"1865-2085"}],"subject":[],"published":{"date-parts":[[2023,8,11]]},"assertion":[{"value":"27 May 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 July 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 August 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 August 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no conflict of interest over any aspect.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of interest"}}]}}