{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T22:26:35Z","timestamp":1649024795341},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1990,9,1]],"date-time":"1990-09-01T00:00:00Z","timestamp":652147200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[1990,9]]},"DOI":"10.1007\/bf01787572","type":"journal-article","created":{"date-parts":[[2005,6,19]],"date-time":"2005-06-19T07:26:38Z","timestamp":1119165998000},"page":"207-222","source":"Crossref","is-referenced-by-count":1,"title":["The Borsuk dimension of a graph and Borsuk's partition conjecture for finite sets"],"prefix":"10.1007","volume":"6","author":[{"given":"Philip L.","family":"Bowers","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF01787572_CR1","doi-asserted-by":"crossref","first-page":"177","DOI":"10.4064\/fm-20-1-177-190","volume":"20","author":"K. Borsuk","year":"1933","unstructured":"Borsuk, K.:Drei S\u00e4tze \u00fcber die n-dimensionale euklidische Sph\u00e4re. Fundam. Math.20, 177\u2013190 (1933)","journal-title":"Fundam. Math."},{"key":"BF01787572_CR2","first-page":"247","volume":"11","author":"K. Borsuk","year":"1978","unstructured":"Borsuk, K.:Some remarks on covering of bounded subsets of the euclidean n-space with sets of smaller diameter. Demonstr. Math.11, 247\u2013251 (1978)","journal-title":"Demonstr. Math."},{"key":"BF01787572_CR3","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/BF01864150","volume":"4","author":"F. Buckley","year":"1988","unstructured":"Buckley, F., Harary, H.:On the euclidean dimension of a wheel. Graphs and Combinatorics4, 23\u201330 (1988)","journal-title":"Graphs and Combinatorics"},{"key":"BF01787572_CR4","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1080\/00029890.1946.11991674","volume":"53","author":"P. Erd\u00f6s","year":"1946","unstructured":"Erd\u00f6s, P.:On sets of distances of n points. Amer. Math. Monthly53, 248\u2013250 (1946)","journal-title":"Amer. Math. Monthly"},{"key":"BF01787572_CR5","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1112\/S0025579300005222","volume":"12","author":"P. Erd\u00f6s","year":"1965","unstructured":"Erd\u00f6s, P., Harary, F., Tutte, W.:On the dimension of a graph. Mathematika12, 118\u2013122 (1965)","journal-title":"Mathematika"},{"key":"BF01787572_CR6","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1090\/pspum\/007\/0154183","volume":"7","author":"B. Gr\u00fcnbaum","year":"1963","unstructured":"Gr\u00fcnbaum, B.:Borsuk's problem and related questions. Proc. Symp. Pure Math.7, 271\u2013284 (1963)","journal-title":"Proc. Symp. Pure Math."},{"key":"BF01787572_CR7","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1007\/BF02020540","volume":"7","author":"A. Heppes","year":"1957","unstructured":"Heppes, A.:Beweis einer Vermutung von A. V\u00e1zsonji, Acta Math. Acad. Sci. Hung.7, 463\u2013466 (1957)","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"BF01787572_CR8","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/BF02028200","volume":"7","author":"A. Heppes","year":"1956","unstructured":"Heppes, A., R\u00e9v\u00e9sz, P.:Zum Borsukschen Zerteilungsproblem. Acta Math. Acad. Sci. Hung.7, 159\u2013162 (1956)","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"BF01787572_CR9","first-page":"449","volume":"30","author":"M. Lassak","year":"1982","unstructured":"Lassak, M.:An estimate concerning Borsuk partition problem. Bull. Acad. Pol. Sci.30, 449\u2013451 (1982)","journal-title":"Bull. Acad. Pol. Sci."},{"key":"BF01787572_CR10","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1007\/BF01900515","volume":"6","author":"H. Lenz","year":"1955","unstructured":"Lenz, H.:Zur Zerlegung von Punktmengen in solche kleineren Durchmessers. Arch. Math.6, 413\u2013416 (1955)","journal-title":"Arch. Math."},{"key":"BF01787572_CR11","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/BF01864152","volume":"4","author":"H. Maehara","year":"1988","unstructured":"Maehara, H., Reiterman, J., R\u00f6dl, V., Sinajov\u00e1, E.:Embedding of trees in euclidean spaces. Graphs and Combinatorics4, 43\u201347 (1988)","journal-title":"Graphs and Combinatorics"},{"key":"BF01787572_CR12","first-page":"39","volume":"5","author":"S. Straszewicz","year":"1957","unstructured":"Straszewicz, S.:Sur un probl\u00e8me g\u00e9ometrique de P. Erd\u00f6s. Bull. Acad. Pol. Sci. C1. III5, 39\u201340 (1957)","journal-title":"Bull. Acad. Pol. Sci. C1. III"}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01787572.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01787572\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01787572","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T09:12:18Z","timestamp":1557479538000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01787572"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,9]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1990,9]]}},"alternative-id":["BF01787572"],"URL":"https:\/\/doi.org\/10.1007\/bf01787572","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"value":"0911-0119","type":"print"},{"value":"1435-5914","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,9]]}}}