{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T04:56:45Z","timestamp":1754110605280},"reference-count":17,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1980,1,1]],"date-time":"1980-01-01T00:00:00Z","timestamp":315532800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":12251,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1980]]},"DOI":"10.1016\/0012-365x(90)90280-u","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:33:13Z","timestamp":1027654393000},"page":"1-11","source":"Crossref","is-referenced-by-count":3,"title":["Hadwiger's conjecture for graphs on the Klein bottle"],"prefix":"10.1016","volume":"29","author":[{"given":"Michael O.","family":"Albertson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joan P.","family":"Hutchinson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(90)90280-U_BIB1","series-title":"Graph Theory and Related Topics","first-page":"35","article-title":"Hadwiger's conjecture and six-chromatic toroidal graphs","author":"Albertson","year":"1979"},{"key":"10.1016\/0012-365X(90)90280-U_BIB2","doi-asserted-by":"crossref","unstructured":"M.O. Albertson and J.P. Hutchinson, On six-chromatic toroidal graphs, Proc. London Math. Soc., to appear.","DOI":"10.1112\/plms\/s3-41.3.533"},{"key":"10.1016\/0012-365X(90)90280-U_BIB3","first-page":"7","article-title":"The three excluded cases of Dirac's map-color theorem","volume":"Vol. 319","author":"Albertson","year":"1979"},{"key":"10.1016\/0012-365X(90)90280-U_BIB4_1","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1215\/ijm\/1256049011","article-title":"Every planar map is four colorable. Parts I & II","volume":"21","author":"Appel","year":"1977","journal-title":"Illinois J. Math."},{"key":"10.1016\/0012-365X(90)90280-U_BIB4_2","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1215\/ijm\/1256049012","article-title":"Every planar map is four colorable. Parts I & II","volume":"21","author":"Appel","year":"1977","journal-title":"Illinois J. Math."},{"key":"10.1016\/0012-365X(90)90280-U_BIB5","doi-asserted-by":"crossref","first-page":"480","DOI":"10.4153\/CJM-1952-043-9","article-title":"Map-colour theorems","volume":"4","author":"Dirac","year":"1952","journal-title":"Canad. J. Math."},{"key":"10.1016\/0012-365X(90)90280-U_BIB6","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1112\/jlms\/s1-31.4.460","article-title":"Map colour theorems related to the Heawood color formula","volume":"31","author":"Dirac","year":"1956","journal-title":"J. London Math. Soc."},{"key":"10.1016\/0012-365X(90)90280-U_BIB7","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1112\/jlms\/s1-32.4.436","article-title":"Map colour theorems related to the Heawood colour formula (II)","volume":"32","author":"Dirac","year":"1957","journal-title":"J. London Math. Soc."},{"key":"10.1016\/0012-365X(90)90280-U_BIB8","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1112\/jlms\/s1-27.1.85","article-title":"A property of 4-chromatic graphs and some remarks on critical graphs","volume":"27","author":"Dirac","year":"1952","journal-title":"J. London Math. Soc."},{"key":"10.1016\/0012-365X(90)90280-U_BIB9","doi-asserted-by":"crossref","first-page":"225","DOI":"10.4153\/CJM-1957-027-2","article-title":"Short proof of a map colour theorem","volume":"9","author":"Dirac","year":"1957","journal-title":"Canad. J. Math."},{"key":"10.1016\/0012-365X(90)90280-U_BIB10","series-title":"Proof Techniques in Graph Theory","article-title":"Problems and results in chromatic graph theory","author":"Erd\u00f6s","year":"1969"},{"key":"10.1016\/0012-365X(90)90280-U_BIB11","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1002\/sapm1934131363","article-title":"A six color problem","volume":"13","author":"Franklin","year":"1934","journal-title":"J. Math Phys."},{"key":"10.1016\/0012-365X(90)90280-U_BIB12","series-title":"Initiation to Combinatorial Topology","author":"Fr\u00e9chet","year":"1967"},{"key":"10.1016\/0012-365X(90)90280-U_BIB13","first-page":"133","article-title":"\u00dcber eine Klassifikation der Streckenkomplexe","volume":"88","author":"Hadwiger","year":"1943","journal-title":"Vierteljahresschr. Naturforsch. Ges. Zurich"},{"key":"10.1016\/0012-365X(90)90280-U_BIB14","series-title":"Map Color Theorem","author":"Ringel","year":"1974"},{"key":"10.1016\/0012-365X(90)90280-U_BIB15","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1073\/pnas.60.2.438","article-title":"Solution to the Heawood map coloring problem","volume":"60","author":"Ringel","year":"1968","journal-title":"Proc. Nat. Acad. Sci. USA"},{"key":"10.1016\/0012-365X(90)90280-U_BIB16","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1007\/BF01594196","article-title":"\u00dcber eine Eigenschaft der Ebenen Komplexe","volume":"114","author":"Wagner","year":"1937","journal-title":"Math. Ann."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9090280U?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9090280U?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T10:12:28Z","timestamp":1580897548000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X9090280U"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1980]]}},"alternative-id":["0012365X9090280U"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(90)90280-u","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1980]]}}}