On the Chromatic Number of $$\mathbb {R}^4$$ R 4-Reference-Cited by-同舟云学术

On the Chromatic Number of $$\mathbb {R}^4$$ R 4

Published:2014-08-09 Issue:2 Volume:52 Page:416-423
ISSN:0179-5376
Container-title:Discrete & Computational Geometry
language:en
Short-container-title:Discrete Comput Geom

Author:

Exoo Geoffrey,Ismailescu Dan,Lim Michael

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/s00454-014-9612-7.pdf

Reference15 articles.

1. Breláz, D.: New methods to color the vertices of a graph. Commun. ACM 22, 251–256 (1979)

2. Cantwell, K.: Finite Euclidean Ramsey theory. J. Comb. Theory Ser. A 73, 273–285 (1996)

3. Cibulka, J.: On the chromatic number of real and rational spaces. Geombinatorics 18, 53–65 (2008)

4. Coulson, D.: A $$15$$ 15 -colouring of $$3$$ 3 -space omitting distance one. Discrete Math. 256, 83–90 (2002)

5. de Bruijn, N.G., Erdős, P.: A colour problem for infinite graphs and a problem in the theory of relations. Ned. Akad. Wet. Proc. Ser. A 54, 371–373 (1951)

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