Distance between vertices of lattice polytopes
Author:
Funder
Natural Sciences and Engineering Research Council of Canada
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization
Link
http://link.springer.com/content/pdf/10.1007/s11590-018-1338-7.pdf
Reference21 articles.
1. Acketa, D., Žunić, J.: On the maximal number of edges of convex digital polygons included into an $$m\times {m}$$-grid. J. Comb. Theory A 69, 358–368 (1995)
2. Balog, A., Bárány, I.: On the convex hull of the integer points in a disc. In: Proceedings of the Seventh Annual Symposium on Computational Geometry, pp. 162–165 (1991)
3. Barnette, D.: An upper bound for the diameter of a polytope. Discret. Math. 10, 9–13 (1974)
4. Chadder, N., Deza, A.: Computational determination of the largest lattice polytope diameter. Proc. IX Lat. Amer. Algorithms, Gr. Optim. Symp. Electron. Notes Discret. Math. 62, 105–110 (2017)
5. Del Pia, A., Michini, C.: On the diameter of lattice polytopes. Discret. Comput. Geom. 55, 681–687 (2016)
Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Computational determination of the largest lattice polytope diameter;Discrete Applied Mathematics;2020-07
2. Correction to: Distance between vertices of lattice polytopes;Optimization Letters;2020-01-30
3. Diameter, Decomposability, and Minkowski Sums of Polytopes;Canadian Mathematical Bulletin;2018-12-17
4. Small Primitive Zonotopes;Discrete Geometry and Symmetry;2018
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