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cs.DS2024
Bidirectional Dijkstra's Algorithm is Instance-Optimal
Bernhard Haeupler, Richard Hladík, Vaclav Rozhon +2
Although Dijkstra's algorithm has near-optimal time complexity for the problem of finding a shortest path from a given vertex to a given vertex , in practice other algorithm…
cs.DS2024
Fast and Simple Sorting Using Partial Information
Bernhard Haeupler, Richard Hladík, John Iacono +3
We consider the problem of sorting items, given the outcomes of pre-existing comparisons. We present a simple and natural deterministic algorithm that runs in $O(m + \log T…