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math.CO2026
Torsoids in Path-Like Graphs without nontrivial even 2-separation
Nathan Bowler, Florian Reich, Qiuzhenyu Tao
Bowler et al. introduced the concept of torsoids that describes the 1-separations of a directed graph in a canonical way building on previous progress by Lov{á}sz. To fully underst…
math.CO2026
On the Possibilities of Defining Infinite Oriented Matroids
Nathan Bowler, Winfried Hochstättler, Stefan Kaspar
Is it possible to define cryptomorphic axiom systems for infinite oriented matroids by lifting some of the axiom systems for finite oriented matroids to the infinite setting while…