Journal ArticleDOI
Ehrhart, E., Polynômes arithmétiques et Méthode des Polyèdres en Combinatorie. Basel‐Stuttgart. Birkhäuser Verlag. 1977. 165 S., sFr. 32.– (ISNM 35)
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This article is published in Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik.The article was published on 1978-01-01. It has received 30 citations till now.read more
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On the Complexity of Some Basic Problems in Computational Convexity
Peter Gritzmann,Victor Klee +1 more
TL;DR: The second part of a broader survey of computational convexity as mentioned in this paper is concerned with computing volumes and mixed volumes of convex polytopes, and more general convex bodies.
Journal ArticleDOI
On the volume of the polytope of doubly stochastic matrices
Clara S. Chan,David P. Robbins +1 more
TL;DR: In this paper, the authors studied the volume of the polytope Bn of n × n doubly stochastic matrices (real nonnegative matrices with row and column sums equal to one).
Journal ArticleDOI
A generating function for all semi-magic squares and the volume of the Birkhoff polytope
TL;DR: In this article, a multivariate generating function for all n×n nonnegative integral matrices with all row and column sums equal to a positive integer t, the so called semi-magic squares, was presented.
Book ChapterDOI
Experiences with enumeration of integer projections of parametric polytopes
TL;DR: This paper shows how to reduce the enumeration of the integer projection of parametric polytopes to the enumerated set, which can solve problems that were considered very difficult to solve analytically.
Journal ArticleDOI
Vector partition functions and generalized dahmen and micchelli spaces
TL;DR: In this article, the authors discuss algebraic and combinatorial issues related to partition functions and the index theory of transversally elliptic operators, and investigate the cohomological formulas generated by this theory.