{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T15:05:26Z","timestamp":1777993526931,"version":"3.51.4"},"reference-count":8,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,10,5]],"date-time":"2006-10-05T00:00:00Z","timestamp":1160006400000},"content-version":"vor","delay-in-days":5605,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1991,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let \u03b3(<jats:italic>G<\/jats:italic>) and <jats:italic>i<\/jats:italic>(<jats:italic>G<\/jats:italic>) be the domination number and independent domination number of a graph <jats:italic>G<\/jats:italic>, respectively. Sumner and Moore [8] define a graph G to be domination perfect if \u03b3(<jats:italic>H<\/jats:italic>) = <jats:italic>i<\/jats:italic>(<jats:italic>H<\/jats:italic>), for every induced subgraph <jats:italic>H<\/jats:italic> of <jats:italic>G.<\/jats:italic> In this article, we give a finite forbidden induced subgraph characterization of domination perfect graphs.<\/jats:p><jats:p>Bollob\u00e1s and Cockayne [4] proved an inequality relating \u03b3(<jats:italic>G<\/jats:italic>) and <jats:italic>i<\/jats:italic>(<jats:italic>G<\/jats:italic>) for the class of K<jats:sup>1,<jats:italic>k<\/jats:italic><\/jats:sup> \u2010free graphs. It is shown that the same inequality holds for a wider class of graphs.<\/jats:p>","DOI":"10.1002\/jgt.3190150202","type":"journal-article","created":{"date-parts":[[2007,6,8]],"date-time":"2007-06-08T06:48:48Z","timestamp":1181285328000},"page":"109-114","source":"Crossref","is-referenced-by-count":11,"title":["A characterization of domination perfect graphs"],"prefix":"10.1002","volume":"15","author":[{"given":"I. E.","family":"Zverovich","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V. E.","family":"Zverovich","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,5]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(78)90105-X"},{"key":"e_1_2_1_3_2","volume-title":"Theory of Graphs and its Applications","author":"Berge C.","year":"1962"},{"key":"e_1_2_1_4_2","volume-title":"Graphs and Hypergraphs","author":"Berge C.","year":"1973"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190030306"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.21236\/AD0705364"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0092276"},{"key":"e_1_2_1_8_2","article-title":"Theory of Graphs","volume":"38","author":"Ore O.","year":"1962","journal-title":"Am. Math. Soc. Colloq. Publ."},{"key":"e_1_2_1_9_2","first-page":"A\u2010569","article-title":"Domination perfect graphs","volume":"26","author":"Sumner D.","year":"1979","journal-title":"Notices Am. Math. Soc."}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190150202","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190150202","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T04:42:20Z","timestamp":1698036140000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190150202"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,6]]},"references-count":8,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1991,6]]}},"alternative-id":["10.1002\/jgt.3190150202"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190150202","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,6]]}}}