{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T15:04:04Z","timestamp":1773068644438,"version":"3.50.1"},"reference-count":11,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,10,5]],"date-time":"2006-10-05T00:00:00Z","timestamp":1160006400000},"content-version":"vor","delay-in-days":5697,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1991,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A vertex set <jats:italic>Y<\/jats:italic> in a (hyper)graph is called <jats:italic>k<\/jats:italic>\u2010independent if in the sub(hyper)\u2010graph induced by <jats:italic>Y<\/jats:italic> every vertex is incident to less than <jats:italic>k<\/jats:italic> edges. We prove a lower bound for the maximum cardinality of a <jats:italic>k<\/jats:italic>\u2010independent set\u2014in terms of degree sequences\u2014which strengthens and generalizes several previously known results, including Tur\u00e1n's theorem.<\/jats:p>","DOI":"10.1002\/jgt.3190150110","type":"journal-article","created":{"date-parts":[[2007,6,8]],"date-time":"2007-06-08T06:48:57Z","timestamp":1181285337000},"page":"99-107","source":"Crossref","is-referenced-by-count":56,"title":["Improved lower bounds on <i>k<\/i>\u2010independence"],"prefix":"10.1002","volume":"15","author":[{"given":"Yair","family":"Caro","sequence":"first","affiliation":[]},{"given":"Zsolt","family":"Tuza","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,5]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02579451"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01788542"},{"key":"e_1_2_1_4_2","volume-title":"New results on the independence number. Technical Report","author":"Caro Y.","year":"1979"},{"key":"e_1_2_1_5_2","unstructured":"Y.CaroandZs.Tuza Large independent sets and local coverings. In preparation."},{"key":"e_1_2_1_6_2","first-page":"159","article-title":"k\u2010domination and k\u2010independence in graphs","volume":"25","author":"Favaron O.","year":"1988","journal-title":"Ars Combinatoria"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(76)90062-5"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190100108"},{"key":"e_1_2_1_9_2","first-page":"144","article-title":"Ensembles stables maximaux dans les hypergraphes","volume":"274","author":"Meyer J.\u2010C.","year":"1972","journal-title":"CR Acad. Sci. Paris"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(83)90273-X"},{"key":"e_1_2_1_11_2","first-page":"436","article-title":"On an extremal problem in graph theory [in Hungarian]","volume":"48","author":"Tur\u00e1n P.","year":"1941","journal-title":"Math Fiz. Lapok"},{"key":"e_1_2_1_12_2","unstructured":"V. K.Wei A lower bound on the stability number of a simple graph. Technical Memorandum TM 81\u201011217\u20109 Bell Laboratories (1981)."}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190150110","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190150110","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T23:04:36Z","timestamp":1698015876000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190150110"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,3]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1991,3]]}},"alternative-id":["10.1002\/jgt.3190150110"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190150110","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,3]]}}}