3 papers
math.CO2025
Matchings in hypercubes extend to long cycles
JiÅà Fink, Torsten Mütze
The -dimensional hypercube graph has as vertices all subsets of , 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 Mütze, Francesco Verciani
The associahedron is the graph that has as nodes all triangulations of a convex -gon, and an edge between any two triangulations that differ in a flip operation.…
cs.DM2024
Listing spanning trees of outerplanar graphs by pivot-exchanges
Nastaran Behrooznia, Torsten Mütze
We prove that the spanning trees of any outerplanar triangulation can be listed so that any two consecutive spanning trees differ in an exchange of two edges that share an end…