New Papers on Euclidean Ramsey Theory

This post is in response to a comment I got asking about new results in Ramsey theory especially the newer ones.

One thing I would recommend is reading the papers of Ronald Graham on Euclidean Ramsey theory and looking at the bibliographies of these papers and looking at the papers there. His papers are here.
I think there is a preprint on Euclidean Ramsey theory that is submitted. It is a survey on open problems in the field.

Some other recent papers:

“A Note on Euclidean Ramsey Theory”
by James H. Schmerl
Discrete and Computational Geometry
Volume 38, Number 1 / July, 2007
Springer New York

“An Improvement to “A Note on Euclidean Ramsey Theory”
by James H. Schmerl
Discrete and Computational Geometry
Volume 43, Number 2 / March, 2010

“On the chromatic numbers of small-dimensional Euclidean spaces”
by A.B. Kupavskii1, and A.M. Raigorodskii
Electronic Notes
in Discrete Mathematics
Volume 34, 1 August 2009, Pages 435-439

“The chromatic number of the plane: The bounded case”
by Clyde P. Kruskala,
Journal of Computer and System Sciences
Volume 74, Issue 4, June 2008, Pages 598-627

and also one by me:

“All regular polytopes are Ramsey”
by Kristal Cantwell
Journal of Combinatorial Theory, Series A
Volume 114, Issue 3, April 2007, Pages 555-562

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3 Responses to “New Papers on Euclidean Ramsey Theory”

  1. Hiroki Says:

    Thank you.

  2. PiterJankovich Says:

    My name is Piter Jankovich. oOnly want to tell, that your blog is really cool
    And want to ask you: is this blog your hobby?
    P.S. Sorry for my bad english

  3. andrescaicedo Says:

    Thanks!

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