{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T06:40:38Z","timestamp":1698043238296},"reference-count":8,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2006,10,6]],"date-time":"2006-10-06T00:00:00Z","timestamp":1160092800000},"content-version":"vor","delay-in-days":5818,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1990,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We characterize graphs <jats:italic>H<\/jats:italic> with the following property: Let <jats:italic>G<\/jats:italic> be a graph and <jats:italic>F<\/jats:italic> be a subgraph of <jats:italic>G<\/jats:italic> such that (i) each component of <jats:italic>F<\/jats:italic> is isomorphic to <jats:italic>H<\/jats:italic> or <jats:italic>K<\/jats:italic><jats:sub>2<\/jats:sub>, (ii) the order of <jats:italic>F<\/jats:italic> is maximum, and (iii) the number of <jats:italic>H<\/jats:italic>\u2010components in <jats:italic>F<\/jats:italic> is minimum subject to (ii). Then a maximum matching of <jats:italic>F<\/jats:italic> is also a maximum matching of <jats:italic>G.<\/jats:italic> This result is motivated by an analogous property of fractional matchings discovered independently by J. P. Uhry and E. Balas.<\/jats:p>","DOI":"10.1002\/jgt.3190140512","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T12:50:10Z","timestamp":1180183810000},"page":"623-628","source":"Crossref","is-referenced-by-count":2,"title":["Graphs with the balas\u2014uhry property"],"prefix":"10.1002","volume":"14","author":[{"given":"M.","family":"Kano","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Poljak","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,6]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190090103"},{"key":"e_1_2_1_3_2","first-page":"1","article-title":"Integer and fractional matchings","volume":"11","author":"Balas E.","year":"1981","journal-title":"Ann. Discrete Math."},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6377(82)90016-5"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(86)90085-7"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(88)90042-1"},{"key":"e_1_2_1_7_2","series-title":"KAM Ser.","first-page":"87","volume-title":"Efficient subgraph packing","author":"Loebl L.","year":"1987"},{"key":"e_1_2_1_8_2","volume-title":"Matching Theory","author":"Lov\u00e1sz L.","year":"1986"},{"key":"e_1_2_1_9_2","first-page":"13","article-title":"Sur le Probleme du Couplage Maximal","volume":"9","author":"Uhry J. P.","year":"1975","journal-title":"RAIRO"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190140512","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190140512","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T19:06:27Z","timestamp":1698001587000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190140512"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,11]]},"references-count":8,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1990,11]]}},"alternative-id":["10.1002\/jgt.3190140512"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190140512","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,11]]}}}