3 papers
cs.CG2025
Entropy-Bounded Computational Geometry Made Easier and Sensitive to Sortedness
David Eppstein, Michael T. Goodrich, Abraham M. Illickan +1
We study entropy-bounded computational geometry, that is, geometric algorithms whose running times depend on a given measure of the input entropy. Specifically, we introduce a meas…
cs.DS2025
Bandwidth vs BFS Width in Matrix Reordering, Graph Reconstruction, and Graph Drawing
David Eppstein, Michael T. Goodrich, Songyu Liu
We provide the first approximation quality guarantees for the Cuthull-McKee heuristic for reordering symmetric matrices to have low bandwidth, and we provide an algorithm for recon…
cs.CG2024
Drawing Planar Graphs and 1-Planar Graphs Using Cubic Bézier Curves with Bounded Curvature
David Eppstein, Michael T. Goodrich, Abraham M. Illickan
We study algorithms for drawing planar graphs and 1-planar graphs using cubic Bézier curves with bounded curvature. We show that any n-vertex 1-planar graph has a 1-planar RAC draw…