{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T17:01:11Z","timestamp":1774630871119,"version":"3.50.1"},"reference-count":35,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100018542","name":"Natural Science Foundation of Sichuan, China","doi-asserted-by":"publisher","award":["2023NSFSC0778"],"award-info":[{"award-number":["2023NSFSC0778"]}],"id":[{"id":"10.13039\/501100018542","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province","award":["MSSB-2022-11"],"award-info":[{"award-number":["MSSB-2022-11"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2023]]},"DOI":"10.1109\/access.2023.3240468","type":"journal-article","created":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T19:31:56Z","timestamp":1675107116000},"page":"10045-10052","source":"Crossref","is-referenced-by-count":40,"title":["Matrix Analysis of Hexagonal Model and Its Applications in Global Mean-First-Passage Time of Random Walks"],"prefix":"10.1109","volume":"11","author":[{"given":"Xiaodong","family":"Yu","sequence":"first","affiliation":[{"name":"School of Computer Science, Chengdu University, Chengdu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6152-8202","authenticated-orcid":false,"given":"Shahid","family":"Zaman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Sialkot, Sialkot, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1815-8538","authenticated-orcid":false,"given":"Asad","family":"Ullah","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Karakoram International University Gilgit, Gilgit, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2618-8980","authenticated-orcid":false,"given":"Ghulamullah","family":"Saeedi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Polytechnical University of Kabul, Kabul, Afghanistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6704-031X","authenticated-orcid":false,"given":"Xiujun","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Computer Science, Chengdu University, Chengdu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84882-981-7"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2018.10.043"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.3390\/s22197263"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-1939-6"},{"key":"ref5","volume-title":"Distance in Graphs","author":"Buckley","year":"1990"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1038\/s41524-019-0221-0"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1002\/qua.24740"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-015-0478-6"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01270385"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1023\/A:1016290123303","article-title":"Wiener index of hexagonal systems","volume":"72","author":"Dobrynin","year":"2002","journal-title":"Acta Applicandae Math."},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-87143-6"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2012-30373-x"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-70953-6_4"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2022.112798"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1063\/1.2755928"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1023\/A:1015119609980","article-title":"Graph cyclicity, excess conductance, and resistance deficit","volume":"30","author":"Klein","year":"2001","journal-title":"J. Math. Chem."},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01192592"},{"key":"ref18","first-page":"265","article-title":"On the characteristic polynomial of a hexagonal system and its application","volume":"34","author":"Lou","year":"2014","journal-title":"J. Math. Res. Appl."},{"issue":"1","key":"ref19","first-page":"1","article-title":"Random walks on graphs: A survey, in combinatorics, Paul Erd\u00f6s is Eighty","volume":"2","author":"Lov\u00e1sz","year":"1993","journal-title":"Bolyai Soc. Math. Stud."},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2021.101672"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2022.101826"},{"key":"ref22","first-page":"91","article-title":"A method of calculating the edge-Szeged index of hexagonal chain","volume":"68","author":"Wang","year":"2012","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1002\/qua.22318"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-020-01385-w"},{"issue":"1","key":"ref25","first-page":"89","article-title":"On KU-Algebras containing (\u03b1,\u03b2)-U.S. soft sets","volume":"28","author":"Ansari","year":"2020","journal-title":"Korean J. Math."},{"key":"ref26","first-page":"107","article-title":"Unicyclic graphs with extremal Kirchhoff index","volume":"60","author":"Yang","year":"2008","journal-title":"MTCH Commun. Math. Comput. Chem."},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2021.1919303"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1002\/qua.21537"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1002\/qua.21068"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.3934\/math.2021700"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/90\/68002"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.3390\/s22062091"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1002\/qua.26154"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.32604\/cmc.2022.031958"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2018.05.045"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/10005208\/10029338.pdf?arnumber=10029338","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,11]],"date-time":"2024-01-11T23:49:33Z","timestamp":1705016973000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10029338\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"references-count":35,"URL":"https:\/\/doi.org\/10.1109\/access.2023.3240468","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023]]}}}