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math.CO2021
Polytope volume in Normaliz
Winfried Bruns
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…
math.CO2021
Automorphism groups and normal forms in Normaliz
Winfried Bruns
We discuss the computation of automorphism groups and normal forms of cones and polyhedra in Normaliz, and indicate its implementation via nauty. The types of automorphisms include…
math.CO2021
Computations of volumes in five candidates elections
Winfried Bruns, Bogdan Ichim
We describe several analytical results obtained in five candidates social choice elections under the assumption of the Impartial Anonymous Culture. These include the Condorcet and…