An $\tilde{O}(n^{2.5})$-Time Algorithm for Online Topological Ordering

Computer Science – Computer Science and Game Theory

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Better results have been proposed in the following paper: Haeupler, Kavitha, Mathew, Sen, Tarjan: Faster Algorithms for Increm

Scientific paper

We present an $\tilde{O}(n^{2.5})$-time algorithm for maintaining the
topological order of a directed acyclic graph with $n$ vertices while inserting
$m$ edges.

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