On Borsuk’s Conjecture for Two-Distance Sets

Author:

Bondarenko Andriy

Publisher

Springer Science and Business Media LLC

Subject

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

Reference22 articles.

1. Aigner, M., Ziegler, G.M.: Proofs from THE BOOK, 4th edn. Springer, Berlin, New York (2009)

2. Alon, N.: Discrete mathematics: methods and challenges. In: Proceedings of the International Congress of Mathematicians, Beijing, 2002, vol. 1, pp. 119–135. Higher Ed. Press, Beijing (2002)

3. Bamberg, J., de Clerck, F., Durante, N.: Intriguing sets in partial quadrangles. J. Comb. Des. 19, 217–245 (2011)

4. Borsuk, K.: Three theorems on the n-dimensional sphere. Fundam. Math. 20, 177–190 (1933) (in German)

5. Brass, P., Moser, W., Pach, J.: Research Problems in Discrete Geometry. Springer, Berlin (2005)

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1. Borsuk’s problem, Boltyanski’s illumination problem, and circumradius;Moscow Journal of Combinatorics and Number Theory;2023-09-23

2. On Boltyanski and Gohberg's partition conjecture;Bulletin of the London Mathematical Society;2023-09-06

3. Calculation of the Gromov–Hausdorff Distance Using the Borsuk Number;Moscow University Mathematics Bulletin;2023-02

4. Borsuk’s partition conjecture;Japanese Journal of Mathematics;2021-07-21

5. Partition Bounded Sets Into Sets Having Smaller Diameters;Results in Mathematics;2021-05-15

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