{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:18:21Z","timestamp":1753881501695,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,7,15]],"date-time":"2021-07-15T00:00:00Z","timestamp":1626307200000},"content-version":"vor","delay-in-days":195,"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":["11871077"],"award-info":[{"award-number":["11871077"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003995","name":"Natural Science Foundation of Anhui Province","doi-asserted-by":"publisher","award":["1808085MA04"],"award-info":[{"award-number":["1808085MA04"]}],"id":[{"id":"10.13039\/501100003995","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>A pancyclic graph of order <jats:italic>n<\/jats:italic> is a graph with cycles of all possible lengths from 3 to <jats:italic>n<\/jats:italic>. In fact, it is NP\u2010complete that deciding whether a graph is pancyclic. Because the spectrum of graphs is convenient to be calculated, in this study, we try to use the spectral theory of graphs to study this problem and give some sufficient conditions for a graph to be pancyclic in terms of the spectral radius and the signless Laplacian spectral radius of the graph.<\/jats:p>","DOI":"10.1155\/2021\/3630245","type":"journal-article","created":{"date-parts":[[2021,7,15]],"date-time":"2021-07-15T17:20:07Z","timestamp":1626369607000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Spectral Sufficient Conditions on Pancyclic Graphs"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6484-522X","authenticated-orcid":false,"given":"Guidong","family":"Yu","sequence":"first","affiliation":[]},{"given":"Tao","family":"Yu","sequence":"additional","affiliation":[]},{"given":"Xiangwei","family":"Xia","sequence":"additional","affiliation":[]},{"given":"Huan","family":"Xu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,7,15]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_10_1_2","DOI":"10.1155\/2021\/8821020"},{"doi-asserted-by":"publisher","key":"e_1_2_10_2_2","DOI":"10.4028\/www.scientific.net\/amm.336-338.2329"},{"doi-asserted-by":"publisher","key":"e_1_2_10_3_2","DOI":"10.1016\/j.laa.2009.01.005"},{"key":"e_1_2_10_4_2","article-title":"Spectral condition for a graph to be Hamiltonian with respect to normalized laplacian","volume":"1","author":"Fan Y. Z.","year":"2012","journal-title":"Mathematics"},{"doi-asserted-by":"publisher","key":"e_1_2_10_5_2","DOI":"10.1016\/j.laa.2017.03.006"},{"doi-asserted-by":"publisher","key":"e_1_2_10_6_2","DOI":"10.1080\/03081087.2016.1151854"},{"doi-asserted-by":"publisher","key":"e_1_2_10_7_2","DOI":"10.1016\/j.laa.2014.11.017"},{"doi-asserted-by":"publisher","key":"e_1_2_10_8_2","DOI":"10.1016\/j.laa.2012.05.021"},{"doi-asserted-by":"publisher","key":"e_1_2_10_9_2","DOI":"10.1007\/s10587-016-0301-y"},{"doi-asserted-by":"publisher","key":"e_1_2_10_10_2","DOI":"10.1155\/2014\/305164"},{"doi-asserted-by":"publisher","key":"e_1_2_10_11_2","DOI":"10.1016\/j.laa.2009.09.004"},{"key":"e_1_2_10_12_2","first-page":"31","article-title":"Some sufficient conditions on Hamiltonian and traceable graphs","volume":"47","author":"Zhou Q. N.","year":"2018","journal-title":"Advances in Mathematics"},{"doi-asserted-by":"publisher","key":"e_1_2_10_13_2","DOI":"10.1080\/03081087.2014.947984"},{"unstructured":"FengX.andWangG. The least signless Laplacian eigenvalue of the complements of bicyclic graphs 2019 https:\/\/arxiv.org\/abs\/1907.04798.","key":"e_1_2_10_14_2"},{"doi-asserted-by":"publisher","key":"e_1_2_10_15_2","DOI":"10.1016\/0095-8956(74)90043-4"},{"doi-asserted-by":"publisher","key":"e_1_2_10_16_2","DOI":"10.1016\/0024-3795(88)90183-8"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/3630245.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/3630245.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/3630245","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T21:43:54Z","timestamp":1723239834000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/3630245"}},"subtitle":[],"editor":[{"given":"Shaohui","family":"Wang","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/3630245"],"URL":"https:\/\/doi.org\/10.1155\/2021\/3630245","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-05-06","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-06-30","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-07-15","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"3630245"}}