On the Volume of Lattice Polyhedra
From MaRDI portal
Publication:3248076
DOI10.1112/plms/s3-7.1.378zbMath0080.26701OpenAlexW2038902093MaRDI QIDQ3248076
Publication date: 1957
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-7.1.378
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06)
Related Items
Valuations on Lattice Polytopes, Lattice point simplices, Integral points in rational polygons: a numerical semigroup approach, The fiber dimension of a graph, An upper estimate for the lattice point enumerator, McMullen’s formula and a multidimensional analog of the Weierstrass ζ-function, The boundary characteristic and Pick's theorem in the Archimedean planar tilings, On sizes and shapes of lattice figures, Elementary geometry on the integer lattice, Unimodular triangulations of dilated 3-polytopes, An odd formula for the volume of three-dimensional lattice polyhedra, A new formula for the volume of lattice polyhedra, Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity, Area-Optimal Simple Polygonalizations: The CG Challenge 2019, Very ample but not normal lattice polytopes, Eine Ungleichung zwischen Volumen, Oberfläche und Gitterpunktanzahl konvexer Mengen imR 3, Non-linear angle-sum relations for polyhedral cones and polytopes, On the maximal width of empty lattice simplices, Exploiting symmetry in integer convex optimization using core points, Areas of lattice figures in the planar tilings with congruent regular polygons, Continuum surface energy from a lattice model, The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes, Combinatorial reciprocity theorems, Polynomials and spatial Pick-type theorems, Discrete volumes of lattice polyhedra via vector analysis, On the integer points in a lattice polytope: \(n\)-fold Minkowski sum and boundary, Counting parallel segments: new variants of Pick's area theorem, CUTTING PLANE WITH NON-UNIFORM DISTRIBUTIONS, Existence of unimodular triangulations — positive results, The finiteness threshold width of lattice polytopes, Zur Gitterpunktanzahl auf dem Rand konvexer Körper, Planar lattices and equilateral polygons, Ehrhart Polynomials and Successive Minima, THE BOUNDARY VOLUME OF A LATTICE POLYTOPE, On odd points and the volume of lattice polyhedra, On the volume of lattice manifolds, The boundary characteristic and the volume of lattice polyhedra, Lattice distances in 3-dimensional quantum jumps, Toric varieties, lattice points and Dedekind sums, Finitely many smooth \(d\)-polytopes with \(n\) lattice points
