caa a22 4500 465825095 CHVBK 20180323112147.0 cr unu---uuuuu 170327e19900401xx s 000 0 eng 10.1007/BF01833145 doi (NATIONALLICENCE)springer-10.1007/BF01833145 Chilakamarri Kiran Department of Mathematics, Ohio State University, 100 Mathematics Building, 213 West 18th Ave, 43210-1174, Columbus, OH, USA aut On the chromatic number of rational five-space [Elektronische Daten] [Kiran Chilakamarri] Summary: The chromatic number of rational five-space is the chromatic number of the infinite graph whose vertex set is the set of all those five-dimensional vectors with all the coordinates being rational numbers and with two vertices forming an edge iff the Euclidean distance is exactly one. In this paper it is shown that the chromatic number of rational five-space is at least six. Birkhäuser Verlag, 1990 Primary 05C15 nationallicence aequationes mathematicae Birkhäuser-Verlag 39/2-3(1990-04-01), 146-148 0001-9054 39:2-3<146 1990 39 10 https://doi.org/10.1007/BF01833145 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01833145 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chilakamarri Kiran Department of Mathematics, Ohio State University, 100 Mathematics Building, 213 West 18th Ave, 43210-1174, Columbus, OH, USA aut NATIONALLICENCE 773 0- aequationes mathematicae Birkhäuser-Verlag 39/2-3(1990-04-01), 146-148 0001-9054 39:2-3<146 1990 39 10 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer