{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T13:43:45Z","timestamp":1706190225320},"reference-count":19,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1974,1,1]],"date-time":"1974-01-01T00:00:00Z","timestamp":126230400000},"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":14442,"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":[[1974]]},"DOI":"10.1016\/0012-365x(74)90022-3","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T19:41:28Z","timestamp":1034278888000},"page":"93-115","source":"Crossref","is-referenced-by-count":33,"title":["The existence of certain planar maps"],"prefix":"10.1016","volume":"10","author":[{"given":"Branko","family":"Gr\u00fcnbaum","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joseph","family":"Zaks","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(74)90022-3_BIB1","first-page":"20","article-title":"Sur quelques configurations poly\u00e9drales","author":"Brunel","year":"1897","journal-title":"Prov. verb. s\u00e9ances Soc. Sci. phys. nat. Bordeaux"},{"key":"10.1016\/0012-365X(74)90022-3_BIB2","first-page":"2","article-title":"Configurations sp\u00e9ciales trac\u00e9es sur les surfaces de genre 0","author":"Brunel","year":"1899","journal-title":"Proc. verb. s\u00e9ances Soc. Sci. phys. nat. Bordeaux"},{"key":"10.1016\/0012-365X(74)90022-3_BIB3","series-title":"Zur Morphologie der Polyeder","author":"Eberhard","year":"1891"},{"key":"10.1016\/0012-365X(74)90022-3_BIB4","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/S0012-365X(74)80020-8","article-title":"An existence theorem for simple convex polyhedra","volume":"7","author":"Fisher","year":"1974","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(74)90022-3_BIB5","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/BF01895990","article-title":"Signierte Zellenzerlegungen","volume":"22","author":"Gallai","year":"1971","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"10.1016\/0012-365X(74)90022-3_BIB6","first-page":"51","article-title":"Plane homogeneous graphs of degree three without Hamiltonian circuits","volume":"4","author":"Grinberg","year":"1968"},{"key":"10.1016\/0012-365X(74)90022-3_BIB7","series-title":"Convex Polytopes","author":"Gr\u00fcnbaum","year":"1967"},{"key":"10.1016\/0012-365X(74)90022-3_BIB8","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1007\/BF02771220","article-title":"Some analogues of Eberhard's theorem in convex polytopes","volume":"6","author":"Gr\u00fcnbaum","year":"1968","journal-title":"Israel J. Math."},{"key":"10.1016\/0012-365X(74)90022-3_BIB9","doi-asserted-by":"crossref","first-page":"1131","DOI":"10.1090\/S0002-9904-1970-12601-5","article-title":"Polytopes, graphs, and complexes","volume":"76","author":"Gr\u00fcnbaum","year":"1970","journal-title":"Bull. Am. Math. Soc."},{"key":"10.1016\/0012-365X(74)90022-3_BIB10","doi-asserted-by":"crossref","first-page":"744","DOI":"10.4153\/CJM-1963-071-3","article-title":"The number of hexagons and the simplicity of geodesics on certain polyhedra","volume":"15","author":"Gr\u00fcnbaum","year":"1963","journal-title":"Can. J. Math."},{"key":"10.1016\/0012-365X(74)90022-3_BIB11","first-page":"53","article-title":"On the face vector of a 4-valent 3-polytope","volume":"8","author":"Jucovi\u010d","year":"1973","journal-title":"Stud. Sci. Math. Hungar."},{"key":"10.1016\/0012-365X(74)90022-3_BIB12","first-page":"422","article-title":"Review of [1]","volume":"29","author":"Lampe","year":"1898","journal-title":"Jahrbuch Fortschritte Math."},{"key":"10.1016\/0012-365X(74)90022-3_BIB13","series-title":"Ph.D. Thesis","article-title":"Properties of planar graphs with uniform vertex and face structure","author":"Malkevitch","year":"1969"},{"key":"10.1016\/0012-365X(74)90022-3_BIB14","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1111\/j.1749-6632.1970.tb56481.x","article-title":"3-valent 3-polytopes with faces having fewer than 7 edges","volume":"175","author":"Malkevitch","year":"1970","journal-title":"Ann. N.Y. Acad. Sci."},{"key":"10.1016\/0012-365X(74)90022-3_BIB15","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1073\/pnas.52.1.44","article-title":"The evenness of the number of edges of a convex polyhedron","volume":"52","author":"Motzkin","year":"1964","journal-title":"Proc. Natl. Acad. Sci. U.S.A."},{"key":"10.1016\/0012-365X(74)90022-3_BIB16","series-title":"Combinatorial Mathematics and its Applications","first-page":"191","article-title":"Possible directions in graph theory","author":"Nash-Williams","year":"1971"},{"key":"10.1016\/0012-365X(74)90022-3_BIB17","series-title":"M. Sci. Thesis","article-title":"An extension of Eberhard's theorem","author":"Rowland","year":"1968"},{"key":"10.1016\/0012-365X(74)90022-3_BIB18","series-title":"Vorlesungen \u00fcber die Theorie der Polyeder","author":"Steinitz","year":"1934"},{"key":"10.1016\/0012-365X(74)90022-3_BIB19","unstructured":"J. Zaks, 6-valent analogues of Eberhard's theorem, to appear."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X74900223?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X74900223?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,11]],"date-time":"2019-04-11T07:54:48Z","timestamp":1554969288000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X74900223"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1974]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1974]]}},"alternative-id":["0012365X74900223"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(74)90022-3","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1974]]}}}