Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, March 30, 2023, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Julian Portmann

Sublinear Time Arboricity Approximation

The arboricity arb(G) of a graph G is the minimum number of forests needed to cover all its edges. Recently, Eden, Mossel, and Ron [SODA'22] gave a randomized sublinear time algorithm for computing a O(log²n) approximation of arboricity with (near-optimal) Õ(n / arb(G)) queries, where a query is reading the degree or the i-th neighbor of a given vertex.

In this talk, I will present a simple randomized algorithm that improves this approximation to O(log n) with the same number of queries. This is joint work with Mohsen Ghaffari.

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