{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T15:08:17Z","timestamp":1788880097609,"version":"build-2803163510"},"reference-count":44,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62366007"],"award-info":[{"award-number":["62366007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62302107"],"award-info":[{"award-number":["62302107"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["2025GXNSFAA069507"],"award-info":[{"award-number":["2025GXNSFAA069507"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["2025GXNSFBA069563"],"award-info":[{"award-number":["2025GXNSFBA069563"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100014959","name":"Guangxi Normal University Guangxi Key Laboratory of Multi-Source Information Mining and Security","doi-asserted-by":"publisher","award":["24-A-03-01"],"award-info":[{"award-number":["24-A-03-01"]}],"id":[{"id":"10.13039\/501100014959","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Theoretical Computer Science"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.tcs.2026.116185","type":"journal-article","created":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T06:39:56Z","timestamp":1785911996000},"page":"116185","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["The h-extra r-component connectivity for a class of interconnection networks"],"prefix":"10.1016","volume":"1084","author":[{"given":"Cheng","family":"Guo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5678-4893","authenticated-orcid":false,"given":"Jiafei","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dajin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jingli","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gaoshi","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"3","key":"10.1016\/j.tcs.2026.116185_bib0001","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1002\/net.3230130303","article-title":"Conditional connectivity","volume":"13","author":"Harary","year":"1983","journal-title":"Networks"},{"issue":"1","key":"10.1016\/j.tcs.2026.116185_bib0002","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/0012-365X(94)00369-T","article-title":"On the extraconnectivity of graphs","volume":"155","author":"F\u00e0brega","year":"1996","journal-title":"Discrete Math."},{"issue":"6","key":"10.1016\/j.tcs.2026.116185_bib0003","doi-asserted-by":"crossref","first-page":"887","DOI":"10.1016\/j.aml.2008.07.016","article-title":"Extraconnectivity of hypercubes","volume":"22","author":"Yang","year":"2009","journal-title":"Appl. Math. Lett."},{"key":"10.1016\/j.tcs.2026.116185_bib0004","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.tcs.2012.03.030","article-title":"Extraconnectivity of k-ary n-cube networks","volume":"443","author":"Hsieh","year":"2012","journal-title":"Theor. Comput. Sci."},{"issue":"6","key":"10.1016\/j.tcs.2026.116185_bib0005","doi-asserted-by":"crossref","first-page":"1594","DOI":"10.1109\/TC.2013.10","article-title":"On 3-extra connectivity and 3-extra edge connectivity of folded hypercubes","volume":"63","author":"Chang","year":"2014","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/j.tcs.2026.116185_bib0006","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.jpdc.2022.04.014","article-title":"The g-extra connectivity of folded crossed cubes","volume":"166","author":"Guo","year":"2022","journal-title":"J. Parallel Distrib. Comput."},{"issue":"10","key":"10.1016\/j.tcs.2026.116185_bib0007","doi-asserted-by":"crossref","first-page":"2540","DOI":"10.1109\/TC.2013.128","article-title":"Reliability evaluation of BC networks in terms of the extra vertex- and edge-connectivity","volume":"63","author":"Yang","year":"2014","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/j.tcs.2026.116185_bib0008","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/j.tcs.2015.06.008","article-title":"On g-extra connectivity of folded hypercubes","volume":"593","author":"Zhang","year":"2015","journal-title":"Theor. Comput. Sci."},{"key":"10.1016\/j.tcs.2026.116185_bib0009","article-title":"Extra connectivity of networks modeled by the strong product graphs","volume":"477","author":"Zhu","year":"2024","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.tcs.2026.116185_bib0010","first-page":"1","article-title":"Generalized connectivity in graphs","volume":"2","author":"Chartrand","year":"1984","journal-title":"Bull. Bombay Math. Colloq."},{"issue":"2","key":"10.1016\/j.tcs.2026.116185_bib0011","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1080\/00207160.2011.638978","article-title":"Component connectivity of the hypercubes","volume":"89","author":"Hsu","year":"2012","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.tcs.2026.116185_bib0012","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.jpdc.2021.12.004","article-title":"Component diagnosability in terms of component connectivity of hypercube-based compound networks","volume":"162","author":"Liu","year":"2022","journal-title":"J. Parallel Distrib. Comput."},{"key":"10.1016\/j.tcs.2026.116185_bib0013","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1016\/j.dam.2018.09.022","article-title":"Conditional connectivity of folded hypercubes","volume":"257","author":"Zhao","year":"2019","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/j.tcs.2026.116185_bib0014","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.tcs.2016.05.035","article-title":"Component connectivity of hypercubes","volume":"640","author":"Zhao","year":"2016","journal-title":"Theor. Comput. Sci."},{"issue":"02","key":"10.1016\/j.tcs.2026.116185_bib0015","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1142\/S0129054121500076","article-title":"Relation of extra edge connectivity and component edge connectivity for regular networks","volume":"32","author":"Guo","year":"2021","journal-title":"Int. J. Found. Comput. Sci."},{"issue":"1","key":"10.1016\/j.tcs.2026.116185_bib0016","doi-asserted-by":"crossref","first-page":"1311","DOI":"10.1093\/comjnl\/bxz058","article-title":"On computing component (edge) connectivities of balanced hypercubes","volume":"63","author":"Gu","year":"2020","journal-title":"Comput. J."},{"key":"10.1016\/j.tcs.2026.116185_bib0017","doi-asserted-by":"crossref","DOI":"10.1016\/j.tcs.2023.113784","article-title":"Component connectivity of augmented cubes","volume":"952","author":"Zhang","year":"2023","journal-title":"Theor. Comput. Sci."},{"key":"10.1016\/j.tcs.2026.116185_bib0018","article-title":"Component connectivity of wheel networks","volume":"487","author":"Zhang","year":"2025","journal-title":"Appl. Math. Comput."},{"issue":"5","key":"10.1016\/j.tcs.2026.116185_bib0019","doi-asserted-by":"crossref","first-page":"4384","DOI":"10.1109\/TNSE.2024.3418460","article-title":"Assessing network reliability through perspectives of neighbor connectivity and subversion","volume":"11","author":"Gu","year":"2024","journal-title":"IEEE Trans. Netw. Sci. Eng."},{"key":"10.1016\/j.tcs.2026.116185_bib0020","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/j.tcs.2021.09.030","article-title":"h-extra r-component connectivity of interconnection networks with application to hypercubes","volume":"895","author":"Li","year":"2021","journal-title":"Theor. Comput. Sci."},{"issue":"3","key":"10.1016\/j.tcs.2026.116185_bib0021","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1080\/09728600.2022.2132893","article-title":"Two kinds of conditional connectivity of hypercubes","volume":"19","author":"Zhu","year":"2022","journal-title":"AKCE Int. J. Graphs Comb."},{"key":"10.1016\/j.tcs.2026.116185_bib0022","article-title":"1-Extra 3-component edge connectivity of modified bubble-sort networks","volume":"81","author":"Zhang","year":"2025","journal-title":"J. Supercomput."},{"key":"10.1016\/j.tcs.2026.116185_bib0023","article-title":"Link fault tolerance of BC networks and folded hypercubes on h-extra r-component edge-connectivity","volume":"462","author":"Yang","year":"2024","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.tcs.2026.116185_bib0024","article-title":"A novel fault-tolerant technique for star graph-based interconnection networks","volume":"81","author":"Liu","year":"2025","journal-title":"J. Supercomput."},{"key":"10.1016\/j.tcs.2026.116185_bib0025","doi-asserted-by":"crossref","DOI":"10.1016\/j.tcs.2025.115596","article-title":"A generalized approach for solving non-inclusive diagnosability of regular networks under the PMC model","volume":"1058","author":"Zhuo","year":"2025","journal-title":"Theor. Comput. Sci."},{"issue":"4","key":"10.1016\/j.tcs.2026.116185_bib0026","doi-asserted-by":"crossref","first-page":"5531","DOI":"10.1007\/s12190-025-02445-9","article-title":"Non-inclusive g-extra diagnosability of regular networks under the mm* model","volume":"71","author":"Zhuo","year":"2025","journal-title":"J. Appl. Math. Comput."},{"issue":"4","key":"10.1016\/j.tcs.2026.116185_bib0027","doi-asserted-by":"crossref","first-page":"9103","DOI":"10.1109\/TDSC.2026.3691153","article-title":"Hybrid fault diagnosis strategies of multiprocessor systems","volume":"23","author":"Zheng","year":"2026","journal-title":"IEEE Trans. Dependable Secure Comput."},{"issue":"4","key":"10.1016\/j.tcs.2026.116185_bib0028","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0898-1221(88)90213-1","article-title":"A survey of the theory of hypercube graphs","volume":"15","author":"Harary","year":"1988","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.tcs.2026.116185_bib0029","series-title":"Combinatorial Theory in Networks","author":"Xu","year":"2013"},{"issue":"1","key":"10.1016\/j.tcs.2026.116185_bib0030","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1080\/00207160500113173","article-title":"On the maximal connected component of a hypercube with faulty vertices III","volume":"83","author":"Yang","year":"2006","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.tcs.2026.116185_bib0031","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.dam.2026.04.005","article-title":"A novel dual-attribute fault diagnosis measure for hypercube networks","volume":"390","author":"Zhuo","year":"2026","journal-title":"Discrete Appl. Math."},{"issue":"1","key":"10.1016\/j.tcs.2026.116185_bib0032","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1080\/00207160.2014.890715","article-title":"The bicube: an interconnection of two hypercubes","volume":"92","author":"Lim","year":"2015","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.tcs.2026.116185_bib0033","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.tcs.2020.09.012","article-title":"Fault diagnosability of bicube networks under the PMC diagnostic model","volume":"851","author":"Liu","year":"2021","journal-title":"Theor. Comput. Sci."},{"issue":"4","key":"10.1016\/j.tcs.2026.116185_bib0034","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1109\/71.372797","article-title":"Hierarchical cubic networks","volume":"6","author":"Ghose","year":"1995","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"issue":"7","key":"10.1016\/j.tcs.2026.116185_bib0035","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1007\/s11227-025-07174-1","article-title":"Reliability of hierarchical cubic networks based on component fault pattern","volume":"81","author":"Lv","year":"2025","journal-title":"J. Supercomput."},{"key":"10.1016\/j.tcs.2026.116185_bib0036","series-title":"Multimedia and Ubiquitous Engineering, MUE 2013, May 9-11, 2013, Seoul,Korea","first-page":"537","article-title":"Analysis and design of a half hypercube interconnection network","volume":"volume 240","author":"Kim","year":"2013"},{"issue":"16","key":"10.1016\/j.tcs.2026.116185_bib0037","doi-asserted-by":"crossref","first-page":"23609","DOI":"10.1007\/s11227-024-06318-z","article-title":"Hyper star structure fault tolerance of half hypercube","volume":"80","author":"Yang","year":"2024","journal-title":"J. Supercomput."},{"key":"10.1016\/j.tcs.2026.116185_bib0038","series-title":"Cloud and Network Computing","first-page":"111","article-title":"Fault tolerance analysis of half hypercube networks under the 1-extra r-component pattern","author":"Liu","year":"2026"},{"issue":"1","key":"10.1016\/j.tcs.2026.116185_bib0039","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1109\/71.80187","article-title":"Properties and performance of folded hypercubes","volume":"2","author":"El-Amawy","year":"1991","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"10.1016\/j.tcs.2026.116185_bib0040","first-page":"203","article-title":"On restricted connectivity and extra connectivity of hypercubes and folded hypercubes","volume":"2","author":"Xu","year":"2005","journal-title":"J. Shanghai Jiaotong Univ. (Sci.)"},{"key":"10.1016\/j.tcs.2026.116185_bib0041","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.tcs.2021.07.006","article-title":"The t\/s-diagnosability and t\/s-diagnosis algorithm of folded hypercube under the PMC\/MM* model","volume":"887","author":"Lin","year":"2021","journal-title":"Theor. Comput. Sci."},{"key":"10.1016\/j.tcs.2026.116185_bib0042","series-title":"Proceedings Sixth International Parallel Processing Symposium","first-page":"47","article-title":"Properties and performance of the hierarchical hypercube","author":"Malluhi","year":"1992"},{"issue":"1","key":"10.1016\/j.tcs.2026.116185_bib0043","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1109\/71.262585","article-title":"The hierarchical hypercube: a new interconnection topology for massively parallel systems","volume":"5","author":"Malluhi","year":"1994","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"issue":"1","key":"10.1016\/j.tcs.2026.116185_bib0044","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1093\/comjnl\/bxz136","article-title":"Relationship between extra connectivity and component connectivity in networks","volume":"64","author":"Li","year":"2019","journal-title":"Comput. J."}],"container-title":["Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397526004147?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397526004147?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T14:27:30Z","timestamp":1788877650000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0304397526004147"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":44,"alternative-id":["S0304397526004147"],"URL":"https:\/\/doi.org\/10.1016\/j.tcs.2026.116185","relation":{},"ISSN":["0304-3975"],"issn-type":[{"value":"0304-3975","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The h-extra r-component connectivity for a class of interconnection networks","name":"articletitle","label":"Article Title"},{"value":"Theoretical Computer Science","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.tcs.2026.116185","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"116185"}}