1 citations · 1 across the 4 of their papers we have counts for
9 papers
Matching variables to equations in infinite linear equation systems
J. Pascal Gollin, Attila Joó
A fundamental result in linear algebra states that if a homogenous linear equation system has only the trivial solution, then there are at most as many variables as equations. We p…
On generalisations of the Aharoni-Pouzet base exchange theorem
Zsuzsanna Jankó, Attila Joó
The Greene-Magnanti theorem states that if is a finite matroid, and are bases and is a partition, then there is a partition $ B_…
On the Packing/Covering Conjecture of Infinite Matroids
Attila Joó
The Packing/Covering Conjecture was introduced by Bowler and Carmesin motivated by the Matroid Partition Theorem by Edmonds and Fulkerson. A packing for a family o…
Greedoids from flames
Attila Joó
A digraph with is an -flame if for every , the in-degree of is equal to the local edge-connectivity . We show that for e…
Proof of Nash-Williams' Intersection Conjecture for countable matroids
Attila Joó
We prove that if and are finitary matroids on a common countable edge set then they admit a common independent set such that there is a bipartition $ E=E_{M}…
Reducing the dichromatic number via cycle reversions in infinite digraphs
Paul Ellis, Attila Joó, Dániel T. Soukup
We prove the following conjecture of S. Thomassé: for every (potentially infinite) digraph it is possible to iteratively reverse directed cycles in such a way that the dichro…