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20112024
most citedPareto Sums of Pareto Sets: Lower Bounds and Algorithms

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

cs.DS2024★ 1 cited

Pareto Sums of Pareto Sets: Lower Bounds and Algorithms

Daniel Funke, Demian Hespe, Peter Sanders +2

In bi-criteria optimization problems, the goal is typically to compute the set of Pareto-optimal solutions. Many algorithms for these types of problems rely on efficient merging or…

cs.DS2023

A Sweep-plane Algorithm for Calculating the Isolation of Mountains

Daniel Funke, Nicolai Hüning, Peter Sanders

One established metric to classify the significance of a mountain peak is its isolation. It specifies the distance between a peak and the closest point of higher elevation. Peaks w…

cs.CG2023

Efficient Yao Graph Construction

Daniel Funke, Peter Sanders

Yao graphs are geometric spanners that connect each point of a given point set to its nearest neighbor in each of cones drawn around it. Yao graphs were introduced to construct…

cs.DS2019

Load-Balancing for Parallel Delaunay Triangulations

Daniel Funke, Peter Sanders, Vincent Winkler

Computing the Delaunay triangulation (DT) of a given point set in is one of the fundamental operations in computational geometry. Recently, Funke and Sanders (2017)…

cs.DC2017

Communication-free Massively Distributed Graph Generation

Daniel Funke, Sebastian Lamm, Ulrich Meyer +5

Analyzing massive complex networks yields promising insights about our everyday lives. Building scalable algorithms to do so is a challenging task that requires a careful analysis…

cs.LO2011

Deciding Reachability for 3-Dimensional Multi-Linear Systems

Olga Tveretina, Daniel Funke

This paper deals with the problem of point-to-point reachability in multi-linear systems. These systems consist of a partition of the Euclidean space into a finite number of region…