{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T09:33:32Z","timestamp":1697794412185},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":9347,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1981,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A generalized type of graph covering, called a \u201cWrapped quasicovering\u201d (wqc) is defined. If <jats:italic>K, L<\/jats:italic> are graphs dually embedded in an orientable surface <jats:italic>S<\/jats:italic>, then we may lift these embeddings to embeddings of dual graphs K\u0303,L\u0303 in orientable surfaces S\u0303, such that S\u0303 are branched covers of <jats:italic>S<\/jats:italic> and the restrictions of the branched coverings to K\u0303,L\u0303 are wqc's of <jats:italic>K, L.<\/jats:italic> the theory is applied to obtain genus embeddings of composition graphs <jats:italic>G<\/jats:italic>[<jats:italic>nK<\/jats:italic><jats:sub>1<\/jats:sub>] from embeddings of \u201cquotient\u201d graphs <jats:italic>G<\/jats:italic>.<\/jats:p>","DOI":"10.1002\/jgt.3190050104","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T10:52:30Z","timestamp":1180176750000},"page":"55-77","source":"Crossref","is-referenced-by-count":10,"title":["A duality theorem for graph embeddings"],"prefix":"10.1002","volume":"5","author":[{"given":"Brad","family":"Jackson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T. D.","family":"Parsons","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Toma\u017e","family":"Pisanski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"86","volume-title":"Triangular embeddings into surfaces of a join of equicardinal independent sets following an Eulerian graph","author":"Bouchet A.","year":"1976"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","DOI":"10.1515\/9781400879915","volume-title":"Algebraic Geometry and Topology: A Symposium in Honor of S. Lefschetz","author":"Fox R. 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To appear."},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(80)90170-3"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65759-7"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.60.2.438"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190020106"},{"key":"e_1_2_1_15_2","volume-title":"Graphs, Groups, and Surfaces","author":"White A. T.","year":"1973"},{"key":"e_1_2_1_16_2","first-page":"165","volume-title":"Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference","author":"White A. T.","year":"1977"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190050104","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190050104","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190050104","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,24]],"date-time":"2023-09-24T17:00:49Z","timestamp":1695574849000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190050104"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,3]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1981,3]]}},"alternative-id":["10.1002\/jgt.3190050104"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190050104","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1981,3]]}}}