{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T13:31:52Z","timestamp":1698672712382},"reference-count":9,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2006,10,5]],"date-time":"2006-10-05T00:00:00Z","timestamp":1160006400000},"content-version":"vor","delay-in-days":6182,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1989,11]]},"abstract":"Abstract<\/jats:title>In this paper, we study mixed conditions on the binding number and the minimum degree of a graph G<\/jats:italic> that guarantee the existence of a k<\/jats:italic>\u2010factor in G<\/jats:italic>. Among others, we prove that a graph G<\/jats:italic> of order n<\/jats:italic> with \u03b4(G)<\/jats:italic> \u2a7e cn<\/jats:italic> and bind(G)<\/jats:italic> > (2 \u2212 3c<\/jats:italic>)\/(1 \u2212 c<\/jats:italic>), where c<\/jats:italic> is any fixed number, has a 2\u2010factor.<\/jats:p>","DOI":"10.1002\/jgt.3190130511","type":"journal-article","created":{"date-parts":[[2007,6,8]],"date-time":"2007-06-08T18:17:11Z","timestamp":1181326631000},"page":"607-617","source":"Crossref","is-referenced-by-count":6,"title":["Binding number and minimum degree for k\u2010factors"],"prefix":"10.1002","volume":"13","author":[{"given":"Norihide","family":"Tokushige","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,5]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(71)90041-4"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0013091500009809"},{"key":"e_1_2_1_4_2","unstructured":"Y.EgawaandH.Enomoto Sufficient conditions for the existence ofk\u2010factors. Preprint."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02880991"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/38.2.221"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1952-028-2"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(73)90038-5"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(78)90037-0"},{"key":"e_1_2_1_10_2","unstructured":"D. R.Woodall k\u2010Factors and neighbourhoods of independent sets in graphs. Preprint."}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190130511","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190130511","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T02:21:18Z","timestamp":1697941278000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190130511"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,11]]},"references-count":9,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1989,11]]}},"alternative-id":["10.1002\/jgt.3190130511"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190130511","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1989,11]]}}}