2 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
Collision Detection is Instance ptimal Under the Birthday Threshold
Omri Ben-Eliezer, Tomer Grossman, Václav Rozhoň +1
Can structural knowledge about a hash function help accelerate the (black box) detection of collisions in it? This question is fundamental to cryptography theory given the importan…
Instance-Optimality in I/O-Efficient Sampling and Sequential Estimation
Shyam Narayanan, Václav Rozhoň, Jakub Tětek +1
Suppose we have a memory storing s and s and we want to estimate the frequency of s by sampling. We want to do this I/O-efficiently, exploiting that each read gives a bloc…
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…
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…
Universal Optimality of Dijkstra via Beyond-Worst-Case Heaps
Bernhard Haeupler, Richard Hladík, Václav Rozhoň +2
In this paper we prove that Dijkstra's shortest-path algorithm, if implemented with a sufficiently efficient heap, is universally optimal in its running time, and with suitable sma…