activity
19992024
most citedPerformance of a Quantum Annealer for Ising Ground State Computations on Chimera Graphs

34 citations · 62 across the 8 of their papers we have counts for

collaborators

10 papers

math.OC2024

Practical Experience with Stable Set and Coloring Relaxations

Dunja Pucher, Franz Rendl

The stable set problem and the graph coloring problem are classes of NP-hard optimization problems on graphs. It is well known that even near-optimal solutions for these problems a…

math.OC2022

Stable-Set and Coloring bounds based on 0-1 quadratic optimization

Dunja Pucher, Franz Rendl

We consider semidefinite relaxations of Stable-Set and Coloring, which are based on quadratic 0-1 optimization. Information about the stability number and the chromatic number is h…

math.OC2020★ 9 cited

A Computational Study of Exact Subgraph Based SDP Bounds for Max-Cut, Stable Set and Coloring

Elisabeth Gaar, Franz Rendl

The "exact subgraph" approach was recently introduced as a hierarchical scheme to get increasingly tight semidefinite programming relaxations of several NP-hard graph optimization…

cs.DS2019★ 34 cited

Performance of a Quantum Annealer for Ising Ground State Computations on Chimera Graphs

Michael Juenger, Elisabeth Lobe, Petra Mutzel +4

Quantum annealing is getting increasing attention in combinatorial optimization. The quantum processing unit by D-Wave is constructed to approximately solve Ising models on so-call…

math.OC2019★ 5 cited

Lower Bounds for the Bandwidth Problem

Franz Rendl, Renata Sotirov, Christian Truden

The Bandwidth Problem seeks for a simultaneous permutation of the rows and columns of the adjacency matrix of a graph such that all nonzero entries are as close as possible to the…

math.OC2019★ 5 cited

A Bundle Approach for SDPs with Exact Subgraph Constraints

Elisabeth Gaar, Franz Rendl

The 'exact subgraph' approach was recently introduced as a hierarchical scheme to get increasingly tight semidefinite programming relaxations of several NP-hard graph optimization…