{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:46:56Z","timestamp":1740109616332,"version":"3.37.3"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,3,8]],"date-time":"2016-03-08T00:00:00Z","timestamp":1457395200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100004421","name":"Politechnika Warszawska","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004421","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2016,4]]},"DOI":"10.1007\/s00454-016-9769-3","type":"journal-article","created":{"date-parts":[[2016,3,8]],"date-time":"2016-03-08T09:05:24Z","timestamp":1457427924000},"page":"594-609","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Fractional and j-Fold Coloring of the Plane"],"prefix":"10.1007","volume":"55","author":[{"given":"Jaros\u0142aw","family":"Grytczuk","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Konstanty","family":"Junosza-Szaniawski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joanna","family":"Sok\u00f3\u0142","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Krzysztof","family":"W\u0119sek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,3,8]]},"reference":[{"key":"9769_CR1","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/s00454-004-1092-8","volume":"33","author":"G Exoo","year":"2005","unstructured":"Exoo, G.: $$\\varepsilon $$ \u03b5 -Unit distance graphs. Discrete Comput. Geom. 33, 117\u2013123 (2005)","journal-title":"Discrete Comput. Geom."},{"key":"9769_CR2","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0097-3165(81)90014-5","volume":"31","author":"KJ Falconer","year":"1981","unstructured":"Falconer, K.J.: The realization of distances in measurable subsets covering $$\\mathbb{R}^n$$ R n . J. Comb. Theory, Ser. A 31, 187\u2013189 (1981)","journal-title":"J. Comb. Theory, Ser. A"},{"issue":"1","key":"9769_CR3","first-page":"8","volume":"2","author":"D Fisher","year":"1992","unstructured":"Fisher, D., Ullman, D.: The fractional chromatic number of the plane. Geombinatorics 2(1), 8\u201312 (1992)","journal-title":"Geombinatorics"},{"key":"9769_CR4","first-page":"103","volume":"16","author":"H Hadwiger","year":"1961","unstructured":"Hadwiger, H.: Ungel\u00f6ste Probleme. Elem. Math. 16, 103\u2013104 (1961)","journal-title":"Elem. Math."},{"issue":"4","key":"9769_CR5","first-page":"83","volume":"3","author":"R Hochberg","year":"1993","unstructured":"Hochberg, R., O\u2019Donnell, P.: A large independent set in the unit distance graph. Geombinatorics 3(4), 83\u201384 (1993)","journal-title":"Geombinatorics"},{"key":"9769_CR6","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.endm.2007.07.026","volume":"29","author":"LL Ivanov","year":"2007","unstructured":"Ivanov, L.L.: On the chromatic numbers of $$\\mathbb{R}^2$$ R 2 and $$\\mathbb{R}^3$$ R 3 with intervals of forbidden distances. Electron. Notes Discrete Math. 29, 159\u2013162 (2007)","journal-title":"Electron. Notes Discrete Math."},{"key":"9769_CR7","first-page":"187","volume":"4","author":"L Moser","year":"1961","unstructured":"Moser, L., Moser, W.: Solution for problem 10. Can. Bull. Math. 4, 187\u2013189 (1961)","journal-title":"Can. Bull. Math."},{"issue":"4","key":"9769_CR8","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1023\/A:1006520219668","volume":"74","author":"MJ Nielsen","year":"1997","unstructured":"Nielsen, M.J.: Approximating monochromatic triangles in a two-colored plane. Acta Math. Hung. 74(4), 279\u2013286 (1997)","journal-title":"Acta Math. Hung."},{"key":"9769_CR9","volume-title":"Fractional Graph Theory","author":"ER Scheinerman","year":"2008","unstructured":"Scheinerman, E.R., Ullman, D.H.: Fractional Graph Theory. Wiley, New York (2008)"},{"key":"9769_CR10","volume-title":"The Mathematical Coloring Book","author":"A Soifer","year":"2008","unstructured":"Soifer, A.: The Mathematical Coloring Book. Springer, New York (2008)"},{"key":"9769_CR11","doi-asserted-by":"crossref","unstructured":"Walczak, Z., Wojciechowski, J.M.: Transmission scheduling in packet radio networks using graph coloring algorithm, wireless and mobile communications. In: ICWMC \u201906 (2006)","DOI":"10.1109\/ICWMC.2006.91"},{"issue":"4","key":"9769_CR12","first-page":"279","volume":"74","author":"DR Woodall","year":"1997","unstructured":"Woodall, D.R.: Distances realized by sets covering the plane. J. Comb. Theory, Ser. A 74(4), 279\u2013286 (1997)","journal-title":"J. Comb. Theory, Ser. A"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-016-9769-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-016-9769-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-016-9769-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,5]],"date-time":"2019-09-05T05:43:20Z","timestamp":1567662200000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-016-9769-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3,8]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,4]]}},"alternative-id":["9769"],"URL":"https:\/\/doi.org\/10.1007\/s00454-016-9769-3","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2016,3,8]]}}}