3 papers
cs.DS2023
Exact Shortest Paths with Rational Weights on the Word RAM
Adam Karczmarz, Wojciech Nadara, Marek Sokołowski
Exact computation of shortest paths in weighted graphs has been traditionally studied in one of two settings. First, one can assume that the edge weights are real numbers and all t…
cs.DS2023
Fully dynamic approximation schemes on planar and apex-minor-free graphs
Tuukka Korhonen, Wojciech Nadara, Michał Pilipczuk +1
The classic technique of Baker [J. ACM '94] is the most fundamental approach for designing approximation schemes on planar, or more generally topologically-constrained graphs, and…
cs.DS2023
Dynamic treewidth
Tuukka Korhonen, Konrad Majewski, Wojciech Nadara +2
We present a data structure that for a dynamic graph that is updated by edge insertions and deletions, maintains a tree decomposition of of width at most under the p…