The Voronoi Conjecture for Parallelohedra with Simply Connected $$\delta $$ δ -Surfaces-Reference-Cited by-同舟云学术

The Voronoi Conjecture for Parallelohedra with Simply Connected $$\delta $$ δ -Surfaces

Published:2015-02-07 Issue:2 Volume:53 Page:245-260
ISSN:0179-5376
Container-title:Discrete & Computational Geometry
language:en
Short-container-title:Discrete Comput Geom

Author:

Garber A.,Gavrilyuk A.,Magazinov A.

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/s00454-014-9660-z.pdf

Reference20 articles.

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2. Delone, B.: Sur la sphère vide. A la mémoire de Georges Voronoi. Bull. Acad. Sci. URSS. Cl. Sci. Math. 6, 793–800 (1934)

3. Deza, M., Grishukhin, V.: Properties of parallelotopes equivalent to Voronoi’s conjecture. Eur. J. Comb. 25, 517–533 (2004)

4. Dienst, T.: Fedorov’s five parallelohedra in $$\mathbb{R}^3$$ R 3 . http://www.matha.mathematik.uni-dortmund.de/thilo/contents/fedorov.htm

5. Erdahl, R.: Zonotopes, dicings, and Voronoi’s conjecture on parallelohedra. Eur. J. Comb. 20(6), 527–549 (1999)

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