43 citations · 147 across the 33 of their papers we have counts for
4 papers · 1 filter
On the intersection of infinite matroids
Elad Aigner-Horev, Johannes Carmesin, Jan-Oliver Fröhlich
We show that the infinite matroid intersection conjecture of Nash-Williams implies the infinite Menger theorem proved recently by Aharoni and Berger. We prove that this conjecture…
Infinite matroid union
Elad Aigner-Horev, Johannes Carmesin, Jan-Oliver Fröhlich
We consider the problem of determining whether the union of two infinite matroids is a matroid. We introduce a superclass of the finitary matroids, the nearly finitary matroids, an…
A characterization of the locally finite networks admitting non-constant harmonic functions of finite energy
Johannes Carmesin
We characterize the locally finite networks admitting non-constant harmonic functions of finite energy. Our characterization unifies the necessary existence criteria of Thomassen a…
Connectivity and tree structure in finite graphs
Johannes Carmesin, Reinhard Diestel, Fabian Hundertmark +1
Considering systems of separations in a graph that separate every pair of a given set of vertex sets that are themselves not separated by these separations, we determine conditions…