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math.CO2024
Local Shearer bound
Anders Martinsson, Raphael Steiner
We prove the following local strengthening of Shearer's classic bound on the independence number of triangle-free graphs: For every triangle-free graph there exists a probabili…
math.CO2024
Improved bounds for zero-sum cycles in
Micha Christoph, Charlotte Knierim, Anders Martinsson +1
For a finite Abelian group , let denote the smallest positive integer such that for each labelling of the arcs of the complete digraph of order using elements…
math.CO2024
Resolution of the Kohayakawa-Kreuter conjecture
Micha Christoph, Anders Martinsson, Raphael Steiner +1
A graph is said to be Ramsey for a tuple of graphs if every -coloring of the edges of contains a monochromatic copy of in color , for some …