6 citations · 11 across the 21 of their papers we have counts for
9 papers · 1 filter
Disjoint cycles with length constraints in digraphs of large connectivity or minimum degree
Raphael Steiner
A conjecture by Lichiardopol states that for every there exists an integer such that every digraph of minimum out-degree at least contains vertex-disjoi…
Even Circuits in Oriented Matroids
Karl Heuer, Raphael Steiner, Sebastian Wiederrecht
In this paper we generalise the even directed cycle problem, which asks whether a given digraph contains a directed cycle of even length, to orientations of regular matroids. We de…
Theta functions, fourth moments of eigenforms, and the sup-norm problem I
Ilya Khayutin, Raphael S. Steiner
We give sharp point-wise bounds in the weight-aspect on fourth moments of modular forms on arithmetic hyperbolic surfaces associated to Eichler orders. Therefore we strengthen a re…
Oriented cycles in digraphs of large outdegree
Lior Gishboliner, Raphael Steiner, Tibor Szabó
In 1985, Mader conjectured that for every acyclic digraph there exists such that every digraph with minimum out-degree at least contains a subdivision of .…
Dichromatic number and forced subdivisions
Lior Gishboliner, Raphael Steiner, Tibor Szabó
We investigate bounds on the dichromatic number of digraphs which avoid a fixed digraph as a topological minor. For a digraph , denote by the smallest…
Coloring Drawings of Graphs
Christoph Hertrich, Felix Schröder, Raphael Steiner
We consider cell colorings of drawings of graphs in the plane. Given a multi-graph together with a drawing in the plane with only finitely many crossings, we define a ce…