14 citations · 51 across the 15 of their papers we have counts for
4 papers · 1 filter
A Mathematica package to cope with partially ordered sets
Pietro Codara
Mathematica offers, by way of the package Combinatorics, many useful functions to work on graphs and ordered structures, but none of these functions was specific enough to meet the…
Making simple proofs simpler
Pietro Codara, Ottavio M. D'Antona, Francesco Marigo +1
An open partition π [Cod09a, Cod09b] of a tree T is a partition of the vertices of T with the property that, for each block B of π, the upset of B is a union of blocks of π. This p…
Building Bricks with Bricks, with Mathematica
Pietro Codara, Ottavio M. D'Antona, Daniele Filaretti
In this work we solve a special case of the problem of building an n-dimensional parallelepiped using a given set of n-dimensional parallelepipeds. Consider the identity x^3 = x(x-…
Investigating independent subsets of graphs, with Mathematica
Pietro Codara, Ottavio M. D'Antona
With this work we aim to show how Mathematica can be a useful tool to investigate properties of combinatorial structures. Specifically, we will face enumeration problems on indepen…