2021/12/17 by Winfried Bruns, Bruns, Winfried · 1 citation
Economics, Econometrics and Finance · Mathematics · #52A38 #52B55 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Game Theory and Voting Systems
paper · pdf · doi:10.48550/arxiv.2112.09518
openalex publication_date 2021/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We survey the computation of polytope volumes by the algorithms of Normaliz to which the Lawrence algorithm has recently been added. It has enabled us to master volume computations for polytopes from social choice in dimension 119. This challenge required a sophisticated implementation of the Lawrence algorithm.