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math.CO2021
Zero sum cycles in complete digraphs
Tamás Mészáros, Raphael Steiner
Given a non-trivial finite Abelian group , let be the smallest integer such that for every labelling of the arcs of the bidirected complete graph of order $n(A)…
math.CO2021
Subspace coverings with multiplicities
Anurag Bishnoi, Simona Boyadzhiyska, Shagnik Das +1
We study the problem of determining the minimum number of affine subspaces of codimension that are required to cover all points of $\mathbb{F}_2^n\setminus \{\vec{0}…
math.CO2021
Complete minors in digraphs with given dichromatic number
Tamás Mészáros, Raphael Steiner
The dichromatic number of a digraph is the smallest for which it admits a -coloring where every color class induces an acyclic subgraph. Inspired by Hadwiger'…