27 citations · 68 across the 17 of their papers we have counts for
20 papers
On the consistency of score sheets of a round-robin football tournament
Bogdan Ichim, Julio José Moyano-Fernández
In this paper we introduce the submonoids , resp. , of the monoid of ordered score sheets of a robin-round tournament played by te…
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…
Polytope volume by descent in the face lattice and applications in social choice
Winfried Bruns, Bogdan Ichim
We describe the computation of polytope volumes by descent in the face lattice, its implementation in Normaliz, and the connection to reverse-lexicographic triangulations. The effi…
Computations of volumes and Ehrhart series in four candidates elections
Winfried Bruns, Bogdan Ichim, Christof Söger
We describe several experimental results obtained in four candidates social choice elections. These include the Condorcet and Borda paradoxes, as well as the Condorcet efficiency o…
On the behavior of the size of a monomial ideal
Bogdan Ichim, Andrei Zarojanu
In this paper we study the behavior of the size of a monomial ideal under polarization and under generic deformations. As an application, we extend a result relating the size and t…
On the score sheets of a round-robin football tournament
Bogdan Ichim, Julio José Moyano-Fernández
The set of (ordered) score sheets of a round-robin football tournament played between teams together with the pointwise addition has the structure of an affine monoid. In this…