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cs.DM2026
The Gallai Vertex Problem is -Complete
Amir Nikabadi, Eva Rotenberg, Lasse Wulf
When a graph admits a vertex that is contained in all its longest paths, we call a Gallai vertex. These are named after Gallai, who in 1966 asked the question if it is…
cs.CC2026
Completeness in the Polynomial Hierarchy and PSPACE for many natural problems derived from NP
Christoph Grüne, Berit Johannes, James B. Orlin +1
Many natural optimization problems derived from admit bilevel and multilevel extensions in which decisions are made sequentially by multiple players with conflicting objec…
cs.CG2026
The Presort Hierarchy for Geometric Problems
Ivor van der Hoog, Eva Rotenberg, Jack Spalding-Jamieson +1
Many fundamental problems in computational geometry admit no algorithm running in time for planar input points, via classical reductions from sorting. Prominent e…