3 citations · 8 across the 3 of their papers we have counts for
5 papers · 1 filter
Cooperative games on simplicial complexes
Ivan Martino
In this work, we define cooperative games on simplicial complexes, generalizing the study of probabilistic values of Weber and quasi-probabilistic values of Bilbao, Driessen, Jimén…
Efficiency Axioms for simplicial complexes
Ivan Martino
We study the notion of efficiency for cooperative games on simplicial complexes. In such games, the grand coalition may be forbidden, and, thus, it is a non-trivial problem t…
Probabilistic values for simplicial complexes
Ivan Martino
In this manuscript, we define and study probabilistic values for cooperative games on simplicial complexes. Inspired by the work of Weber "Probabilistic values for games", we estab…
Set of independencies and Tutte polynomial of matroids over a domain
Alessio Borzì, Ivan Martino
In this work, we study matroids over a domain and several classical combinatorial and algebraic invariants related. We define their Grothendieck-Tutte polynomial $T_{\mathcal{M}}(x…
Face module for realizable Z-matroids
Ivan Martino
In this work, we define the face module for a realizable matroid over Z. Its Hilbert series is, indeed, the expected specialization of the Grothendieck - Tutte polynomial defined b…