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20092026
most citedProof of the middle levels conjecture

60 citations · 165 across the 31 of their papers we have counts for

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6 papers · 1 filter

cs.DM2026

A simple algorithm for computing Hamilton paths on independent set polytopes

Jean Cardinal, Pia Herkenrath, Torsten Mütze +1

The independent set polytope, or stable set polytope, of a graph is the 0/1-polytope defined by the convex hull of the characteristic vectors of all independent sets of . We…

cs.DM2023

Combinatorial generation via permutation languages. VI. Binary trees

Petr Gregor, Torsten Mütze, Namrata

In this paper we propose a notion of pattern avoidance in binary trees that generalizes the avoidance of contiguous tree patterns studied by Rowland and non-contiguous tree pattern…

cs.DM2023

Traversing combinatorial 0/1-polytopes via optimization

Arturo Merino, Torsten Mütze

In this paper, we present a new framework that exploits combinatorial optimization for efficiently generating a large variety of combinatorial objects based on graphs, matroids, po…

cs.DM2021★ 2 cited

Combinatorial generation via permutation languages. IV. Elimination trees

Jean Cardinal, Arturo Merino, Torsten Mütze

An elimination tree for a connected graph is a rooted tree on the vertices of obtained by choosing a root and recursing on the connected components of to produce…

cs.DM2019

Combinatorial generation via permutation languages. I. Fundamentals

Elizabeth Hartung, Hung Phuc Hoang, Torsten Mütze +1

In this work we present a general and versatile algorithmic framework for exhaustively generating a large variety of different combinatorial objects, based on encoding them as perm…

cs.DM2016

A constant-time algorithm for middle levels Gray codes

Torsten Mütze, Jerri Nummenpalo

For any integer a middle levels Gray code is a cyclic listing of all -element and -element subsets of such that any two consecutive subset…