Torsten Mütze

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math.CO2025

Matchings in hypercubes extend to long cycles

JiÅÃ Fink, Torsten MÃ¼tze

The $d$ -dimensional hypercube graph $Q_{d}$ has as vertices all subsets of ${1, \dots, d}$ , and an edge between any two sets that differ in a single element. The Ruskey-Savage conje…

math.CO2025

Flips in colorful triangulations

Rohan Acharya, Torsten MÃ¼tze, Francesco Verciani

The associahedron is the graph $G_{N}$ that has as nodes all triangulations of a convex $N$ -gon, and an edge between any two triangulations that differ in a flip operation.…

math.CO2024

Combinatorial Gray codes-an updated survey

Torsten MÃ¼tze

A combinatorial Gray code for a class of objects is a listing that contains each object from the class exactly once such that any two consecutive objects in the list differ only by…