{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T20:41:11Z","timestamp":1757623271326,"version":"3.44.0"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2025,7,9]],"date-time":"2025-07-09T00:00:00Z","timestamp":1752019200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,7,9]],"date-time":"2025-07-09T00:00:00Z","timestamp":1752019200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2025,10]]},"DOI":"10.1007\/s40314-025-03313-9","type":"journal-article","created":{"date-parts":[[2025,7,10]],"date-time":"2025-07-10T09:29:18Z","timestamp":1752139758000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A note on a spectral condition for the existence of $$K_1\\vee P_4$$"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-1512-3403","authenticated-orcid":false,"given":"Jin","family":"Cai","sequence":"first","affiliation":[]},{"given":"Leyou","family":"Xu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,7,9]]},"reference":[{"key":"3313_CR1","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.jctb.2017.07.002","volume":"128","author":"P Balister","year":"2018","unstructured":"Balister P, Li H, Schelp R (2018) Decompositions of graphs into cycles with chords. J Comb Theory Ser B 128:47\u201365","journal-title":"J Comb Theory Ser B"},{"issue":"23","key":"3313_CR2","doi-asserted-by":"publisher","first-page":"5886","DOI":"10.1016\/j.disc.2007.10.040","volume":"308","author":"A Bialostocki","year":"2008","unstructured":"Bialostocki A, Finkel D, Gy\u00e1rf\u00e1s A (2008) Disjoint chorded cycles in graphs. Discrete Math 308(23):5886\u20135890","journal-title":"Discrete Math"},{"key":"3313_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-1939-6","volume-title":"Spectra of graphs","author":"A Brouwer","year":"2012","unstructured":"Brouwer A, Haemers W (2012) Spectra of graphs. Springer, New York"},{"key":"3313_CR4","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/0024-3795(85)90092-8","volume":"65","author":"RA Brualdi","year":"1985","unstructured":"Brualdi RA, Hoffman AJ (1985) On the spectral radius of $$(0,1)$$-matrices. Linear Algebra Appl 65:13\u2013146","journal-title":"Linear Algebra Appl"},{"key":"3313_CR5","doi-asserted-by":"crossref","unstructured":"Chen F, Yuan X (2024) Brualdi\u2013Hoffman\u2013Tur\u00e1n problem of the gem. arXiv:2411.08345v1","DOI":"10.1016\/j.disc.2025.114528"},{"key":"3313_CR6","doi-asserted-by":"publisher","first-page":"103420","DOI":"10.1016\/j.ejc.2021.103420","volume":"99","author":"S Cioab\u01ce","year":"2022","unstructured":"Cioab\u01ce S, Desai DN, Tait M (2022) The spectral radius of graphs with no odd wheels. Eur J Comb 99:103420","journal-title":"Eur J Comb"},{"key":"3313_CR7","doi-asserted-by":"publisher","first-page":"2295","DOI":"10.1007\/s00373-016-1729-4","volume":"32","author":"M Cream","year":"2016","unstructured":"Cream M, Faudree RJ, Gould RJ, Hirohata K (2016) Chorded cycles. Graphs Comb 32:2295\u20132313","journal-title":"Graphs Comb"},{"key":"3313_CR8","doi-asserted-by":"publisher","first-page":"2482","DOI":"10.1016\/j.disc.2019.05.028","volume":"342","author":"Y Gao","year":"2019","unstructured":"Gao Y, Lin X, Wang H (2019) Vertex-disjoint double chorded cycles in bipartite graphs. Discrete Math 342:2482\u20132492","journal-title":"Discrete Math"},{"key":"3313_CR9","doi-asserted-by":"crossref","unstructured":"Gould RJ (2022) Results and problems on chorded cycles: a survey. Graphs Comb 38:189","DOI":"10.1007\/s00373-022-02586-9"},{"key":"3313_CR10","doi-asserted-by":"publisher","first-page":"2051","DOI":"10.1016\/j.disc.2015.05.010","volume":"338","author":"RJ Gould","year":"2015","unstructured":"Gould RJ, Hirohata K, Horn P (2015) On independent doubly chorded cycles. Discrete Math 338:2051\u20132071","journal-title":"Discrete Math"},{"key":"3313_CR11","doi-asserted-by":"publisher","first-page":"103966","DOI":"10.1016\/j.ejc.2024.103966","volume":"120","author":"X Li","year":"2024","unstructured":"Li X, Zhai M, Shu J (2024) A Brualdi\u2013Hoffman\u2013Tur\u00e1n problem on cycles. Eur J Comb 120:103966","journal-title":"Eur J Comb"},{"key":"3313_CR12","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1016\/j.laa.2022.01.016","volume":"640","author":"G Min","year":"2022","unstructured":"Min G, Lou Z, Huang Q (2022) A sharp upper bound on the spectral radius of $$C_5$$-free\/$$C_6$$-free graphs with given size. Linear Algebra Appl 640:162\u2013178","journal-title":"Linear Algebra Appl"},{"issue":"6","key":"3313_CR13","doi-asserted-by":"publisher","first-page":"564","DOI":"10.1016\/j.orl.2010.09.007","volume":"38","author":"S Qiao","year":"2010","unstructured":"Qiao S, Zhang S (2010) Vertex-disjoint chorded cycles in a graph. Oper Res Lett 38(6):564\u2013566","journal-title":"Oper Res Lett"},{"key":"3313_CR14","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1112\/blms\/22.3.209","volume":"22","author":"P Rowlinson","year":"1990","unstructured":"Rowlinson P (1990) More on graph perturbations. Bull Lond Math Soc 22:209\u2013216","journal-title":"Bull Lond Math Soc"},{"issue":"2","key":"3313_CR15","first-page":"217","volume":"15","author":"M Santana","year":"2024","unstructured":"Santana M, Van Bonn M (2024) Sharp minimum degree conditions for disjoint doubly chorded cycles. J Comb 15(2):217\u2013282","journal-title":"J Comb"},{"key":"3313_CR16","doi-asserted-by":"publisher","first-page":"324","DOI":"10.1016\/j.disc.2006.11.046","volume":"308","author":"SK Simi\u0107","year":"2008","unstructured":"Simi\u0107 SK, Li Marzi EM, Belardo F (2008) On the index of caterpillars. Discrete Math 308:324\u2013330","journal-title":"Discrete Math"},{"key":"3313_CR17","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/S0012-365X(97)00236-7","volume":"187","author":"H Wang","year":"1997","unstructured":"Wang H (1997) Vertex-disjoint hexagons with chords in a bipartite graph. Discrete Math 187:221\u2013231","journal-title":"Discrete Math"},{"key":"3313_CR18","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1007\/s00373-024-02839-9","volume":"40","author":"L Xu","year":"2024","unstructured":"Xu L, Zhou B (2024) Answers to Gould\u2019s question concerning the existence of chorded cycles. Graphs Comb 40:105","journal-title":"Graphs Comb"},{"key":"3313_CR19","doi-asserted-by":"crossref","unstructured":"Yu L, Li Y, Peng Y (2025) Spectral extremal graphs for fan graphs. arXiv:2404.03423","DOI":"10.1016\/j.disc.2024.114391"},{"key":"3313_CR20","doi-asserted-by":"publisher","first-page":"114171","DOI":"10.1016\/j.disc.2024.114171","volume":"347","author":"T Zhang","year":"2024","unstructured":"Zhang T, Wang L (2024) On the spectral radius of graphs without a gem. Discrete Math 347:114171","journal-title":"Discrete Math"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03313-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-025-03313-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03313-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,9]],"date-time":"2025-09-09T05:04:53Z","timestamp":1757394293000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-025-03313-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,9]]},"references-count":20,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2025,10]]}},"alternative-id":["3313"],"URL":"https:\/\/doi.org\/10.1007\/s40314-025-03313-9","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2025,7,9]]},"assertion":[{"value":"15 November 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 May 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 July 2025","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 declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"350"}}