122 citations · 256 across the 36 of their papers we have counts for
4 papers · 1 filter
The single-crossing property on a tree
Adam Clearwater, Clemens Puppe, Arkadii Slinko
We generalize the classical single-crossing property to single-crossing property on trees and obtain new ways to construct Condorcet domains which are sets of linear orders which p…
Noncoherent initial ideals in exterior algebras
Dominic Searles, Arkadii Slinko
We construct a noncoherent initial ideal of an ideal in the exterior algebra of order 6, answering a question of D. Maclagan (2000). We also give a method for constructing noncoher…
On the Computation of Fully Proportional Representation
Nadja Betzler, Arkadii Slinko, Johannes Uhlmann
We investigate two systems of fully proportional representation suggested by Chamberlin Courant and Monroe. Both systems assign a representative to each voter so that the "sum of m…
Cloning in Elections: Finding the Possible Winners
Edith Elkind, Piotr Faliszewski, Arkadii Slinko
We consider the problem of manipulating elections by cloning candidates. In our model, a manipulator can replace each candidate c by several clones, i.e., new candidates that are s…