{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T18:16:34Z","timestamp":1755800194712,"version":"3.44.0"},"reference-count":43,"publisher":"Informa UK Limited","issue":"2","license":[{"start":{"date-parts":[[2024,11,20]],"date-time":"2024-11-20T00:00:00Z","timestamp":1732060800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62407011","62172116","RSP2025R401"],"award-info":[{"award-number":["62407011","62172116","RSP2025R401"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"King Saud University, Riyadh, Saudi Arabia"}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["AKCE International Journal of Graphs and Combinatorics"],"published-print":{"date-parts":[[2025,5,4]]},"DOI":"10.1080\/09728600.2024.2425025","type":"journal-article","created":{"date-parts":[[2024,11,21]],"date-time":"2024-11-21T00:43:19Z","timestamp":1732149799000},"page":"125-135","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":0,"title":["On bounds for the atom bond sum connectivity index of graphs associated with symmetric numerical semigroups"],"prefix":"10.1080","volume":"22","author":[{"given":"Ying","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Guangzhou University","place":["Guangzhou, China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anam","family":"Shahzadi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Government College University","place":["Faisalabad, Pakistan"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad Ahsan","family":"Binyamin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Government College University","place":["Faisalabad, Pakistan"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maria","family":"Mehtab","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Government College University","place":["Faisalabad, Pakistan"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fairouz","family":"Tchier","sequence":"additional","affiliation":[{"name":"Mathematics Department, College of Science, King Saud University","place":["Riyadh, Saudi Arabia"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adnan","family":"Aslam","sequence":"additional","affiliation":[{"name":"Department of Natural Sciences and Humanities, University of Engineering and Technology","place":["Lahore(RCET), Pakistan"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2024,11,20]]},"reference":[{"issue":"2","key":"e_1_3_4_2_1","first-page":"135","article-title":"The intersection graph of ideals of a lattice","volume":"34","author":"Afkhami M.","year":"2015","unstructured":"Afkhami, M., Khashyarmanesh, K. (2015). The intersection graph of ideals of a lattice. Note Di Matematica 34(2): 135\u2013144.","journal-title":"Note Di Matematica"},{"key":"e_1_3_4_3_1","doi-asserted-by":"publisher","DOI":"10.3390\/sym16070854"},{"key":"e_1_3_4_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-022-01403-1"},{"key":"e_1_3_4_5_1","first-page":"1","article-title":"Atom-bond sum-connectivity index of unicyclic graphs and some applications","volume":"5","author":"Ali A.","year":"2023","unstructured":"Ali, A., Gutman, I., Redzepovic, I. (2023). Atom-bond sum-connectivity index of unicyclic graphs and some applications. Electron. J. Math. 5: 1\u20137.","journal-title":"Electron. J. Math"},{"key":"e_1_3_4_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-6990-3_2"},{"key":"e_1_3_4_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2006.10.007"},{"key":"e_1_3_4_8_1","unstructured":"Assi A. Garc\u00eda-S\u00e1nchez P. A. (2014). Numerical Semigroups and Applications 1411.6093."},{"key":"e_1_3_4_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2012.707262"},{"issue":"3","key":"e_1_3_4_10_1","first-page":"381","article-title":"The extended zero-divisor graph of a commutative ring I","volume":"46","author":"Bakhtyiari M.","year":"2017","unstructured":"Bakhtyiari, M., Nikmehr, M. J., Nikandish, R. (2017). The extended zero-divisor graph of a commutative ring I. Hokkaido Math. J. 46(3): 381\u2013393.","journal-title":"Hokkaido Math. J"},{"key":"e_1_3_4_11_1","doi-asserted-by":"publisher","DOI":"10.1021\/ci00047a033"},{"key":"e_1_3_4_12_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498811004902"},{"key":"e_1_3_4_13_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40995-022-01262-0"},{"key":"e_1_3_4_14_1","doi-asserted-by":"publisher","DOI":"10.3390\/math7060557"},{"key":"e_1_3_4_15_1","volume-title":"Chemical Graph Theory: Introduction and Fundamentals","author":"Bonchev D.","year":"1991","unstructured":"Bonchev, D. (1991). Chemical Graph Theory: Introduction and Fundamentals. Boca Raton: CRC Press."},{"key":"e_1_3_4_16_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2"},{"key":"e_1_3_4_17_1","doi-asserted-by":"publisher","DOI":"10.1080\/09728600.2024.2350582"},{"key":"e_1_3_4_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2013.04.003"},{"key":"e_1_3_4_19_1","volume-title":"Molecular Topology","author":"Diudea M. V.","year":"2001","unstructured":"Diudea, M. V., Gutman, I., Jantschi, L. (2001). Molecular Topology. Huntington, NY: Nova Science Publishers."},{"key":"e_1_3_4_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2008.08.074"},{"key":"e_1_3_4_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-016-0725-5"},{"key":"e_1_3_4_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0009-2614(00)00158-5"},{"key":"e_1_3_4_23_1","first-page":"849","article-title":"An atom-bond connectivity index: modelling the enthalpy of formation of alkanes","volume":"37","author":"Estrada E.","year":"1998","unstructured":"Estrada, E., Torres, L., Rodriguez, L., Gutman, I. (1998). An atom-bond connectivity index: modelling the enthalpy of formation of alkanes. Indian J. Chem. 37: 849\u2013855.","journal-title":"Indian J. Chem"},{"key":"e_1_3_4_24_1","first-page":"187","article-title":"On conjectures of Graffiti-II","volume":"60","author":"Fajtlowicz S.","year":"1987","unstructured":"Fajtlowicz, S. (1987). On conjectures of Graffiti-II. Congr. Numer. 60: 187\u2013197.","journal-title":"Congr. Numer"},{"key":"e_1_3_4_25_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2019.06.069"},{"key":"e_1_3_4_26_1","article-title":"Bounds for the atom-bond sum-connectivity index of graphs","author":"Hussain Z.","year":"2024","unstructured":"Hussain, Z., Liu, H., Zhang, S., Hua, H. (2024). Bounds for the atom-bond sum-connectivity index of graphs. Match Commun. Math. Comput. Chem. (in press).","journal-title":"Match Commun. Math. Comput. Chem"},{"issue":"2","key":"e_1_3_4_27_1","first-page":"169","article-title":"Nilpotent graph","volume":"8","author":"Kumar B. D.","year":"2021","unstructured":"Kumar, B. D., Ajay, S., Rahul, D. (2021). Nilpotent graph. Theory Appl. Graphs 8(2): 169\u2013180.","journal-title":"Theory Appl. Graphs"},{"key":"e_1_3_4_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2007.02.003"},{"key":"e_1_3_4_29_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-syb:20060038"},{"key":"e_1_3_4_30_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139167505"},{"key":"e_1_3_4_31_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-99970-3"},{"key":"e_1_3_4_32_1","doi-asserted-by":"publisher","DOI":"10.3390\/math11071681"},{"key":"e_1_3_4_33_1","doi-asserted-by":"publisher","DOI":"10.1021\/ja00856a001"},{"key":"e_1_3_4_34_1","doi-asserted-by":"publisher","DOI":"10.3390\/math10010097"},{"key":"e_1_3_4_35_1","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.2003.209.131"},{"key":"e_1_3_4_36_1","first-page":"135","article-title":"Numerical Semigroups","volume":"34","author":"Rosales J. C.","year":"2014","unstructured":"Rosales, J. C., Garcia-Sanchez, P. A. (2014). Numerical Semigroups. Note Mat. 34: 135\u2013143.","journal-title":"Note Mat"},{"key":"e_1_3_4_37_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40819-020-00829-y"},{"key":"e_1_3_4_38_1","doi-asserted-by":"publisher","DOI":"10.1080\/10406638.2021.2007141"},{"key":"e_1_3_4_39_1","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/s13360-022-02431-1"},{"issue":"9","key":"e_1_3_4_40_1","first-page":"4610","article-title":"Applications of graph theory in computer science an overview","volume":"2","author":"Shirinivas S. G.","year":"2010","unstructured":"Shirinivas, S. G., Vetrivel, S., Elango, N. M. (2010). Applications of graph theory in computer science an overview. Int. J. Eng. Sci. Technol. 2(9): 4610\u20134621.","journal-title":"Int. J. Eng. Sci. Technol"},{"key":"e_1_3_4_41_1","first-page":"436","article-title":"An extremal problem in graph theory","volume":"48","author":"Turr\u00e1n P.","year":"1941","unstructured":"Turr\u00e1n, P. (1941). An extremal problem in graph theory. K\u00f6z\u00e9piskolai Matematikai \u00e9s Fizikai Lapok 48: 436\u2013452.","journal-title":"K\u00f6z\u00e9piskolai Matematikai \u00e9s Fizikai Lapok"},{"key":"e_1_3_4_42_1","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/3839800"},{"key":"e_1_3_4_43_1","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/6094372"},{"key":"e_1_3_4_44_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-008-9515-z"}],"container-title":["AKCE International Journal of Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/09728600.2024.2425025","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,20]],"date-time":"2025-08-20T07:08:40Z","timestamp":1755673720000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/09728600.2024.2425025"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,20]]},"references-count":43,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,5,4]]}},"alternative-id":["10.1080\/09728600.2024.2425025"],"URL":"https:\/\/doi.org\/10.1080\/09728600.2024.2425025","relation":{},"ISSN":["0972-8600","2543-3474"],"issn-type":[{"type":"print","value":"0972-8600"},{"type":"electronic","value":"2543-3474"}],"subject":[],"published":{"date-parts":[[2024,11,20]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uakc20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uakc20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2024-05-20","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-10-13","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-10-21","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-11-20","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}