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math.CO2022
Combinatorial generation via permutation languages. V. Acyclic orientations
Jean Cardinal, Hung P. Hoang, Arturo Merino +2
In 1993, Savage, Squire, and West described an inductive construction for generating every acyclic orientation of a chordal graph exactly once, flipping one arc at a time. We provi…
math.CO2019
Combinatorial generation via permutation languages. II. Lattice congruences
Hung Phuc Hoang, Torsten Mütze
This paper deals with lattice congruences of the weak order on the symmetric group, and initiates the investigation of the cover graphs of the corresponding lattice quotients. Thes…