{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:34:02Z","timestamp":1753882442843,"version":"3.41.2"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"name":"NSFQH","award":["2018-ZJ-925Q"],"award-info":[{"award-number":["2018-ZJ-925Q"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,7]]},"abstract":"<jats:p> Let [Formula: see text] be the [Formula: see text]th-order circuit graph of a simple connected matroid M. The first-order circuit graph is also called a circuit graph. There are lots of results about connectivity and Hamiltonian properties of circuit graph of matroid, while there are few related results on the second-order circuit graph of a matroid. This paper mainly focuses on the connectivity and Hamiltonian properties of the second-order circuit graphs of the cycle matroid of wheels. It determines the minimum degree and connectivity of these graphs, and proves that the second-order circuit graph of the cycle matroid of a wheel is uniformly Hamiltonian. <\/jats:p>","DOI":"10.1142\/s1793830922500070","type":"journal-article","created":{"date-parts":[[2021,11,7]],"date-time":"2021-11-07T04:09:02Z","timestamp":1636258142000},"source":"Crossref","is-referenced-by-count":0,"title":["The connectivity and Hamiltonian properties of second-order circuit graphs of wheel cycle matroids"],"prefix":"10.1142","volume":"14","author":[{"given":"Zijian","family":"Deng","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}]},{"given":"Bin","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}]},{"given":"Bofeng","family":"Huo","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}]},{"given":"Bo","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2021,11,6]]},"reference":[{"issue":"419","key":"S1793830922500070BIB001","first-page":"237","volume":"62","author":"Bondy J.","year":"1978","journal-title":"Math. Gaz."},{"key":"S1793830922500070BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-007-0739-7"},{"key":"S1793830922500070BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2007.04.039"},{"key":"S1793830922500070BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s10114-010-6685-y"},{"key":"S1793830922500070BIB005","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198566946.001.0001"},{"key":"S1793830922500070BIB006","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1959-0101527-3"},{"issue":"6","key":"S1793830922500070BIB007","first-page":"905","volume":"11","author":"Tutte W.","year":"1960","journal-title":"Proc. Amer. Math. Soc."},{"issue":"1","key":"S1793830922500070BIB008","first-page":"1","volume":"69","author":"Tutte W.","year":"1965","journal-title":"J. Res. Nat. Bur. Stand."},{"volume-title":"Introduction to the Theory of Matroids","year":"1971","author":"Tutte W.","key":"S1793830922500070BIB009"},{"key":"S1793830922500070BIB010","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1966-129-2"},{"key":"S1793830922500070BIB011","doi-asserted-by":"publisher","DOI":"10.2307\/2371182"},{"key":"S1793830922500070BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-011-1074-6"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830922500070","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,2]],"date-time":"2022-08-02T04:50:03Z","timestamp":1659415803000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793830922500070"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,6]]},"references-count":12,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2022,7]]}},"alternative-id":["10.1142\/S1793830922500070"],"URL":"https:\/\/doi.org\/10.1142\/s1793830922500070","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2021,11,6]]},"article-number":"2250007"}}