100 citations · 291 across the 51 of their papers we have counts for
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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…
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…
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…
Castelnuovo-Mumford regularity and powers
Winfried Bruns, Aldo Conca, Matteo Varbaro
This note has two goals. The first is to give a short and self contained introduction to the Castelnuovo-Mumford regularity for standard graded ring over a general base ring. T…