# Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

__Mittagsseminar Talk Information__ | |

**Date and Time**: Tuesday, February 19, 2019, 12:15 pm

**Duration**: 30 minutes

**Location**: OAT S15/S16/S17

**Speaker**: Luis Barba

## Time-Space Trade-Offs for Computing Euclidean Minimum Spanning Trees

In the limited-workspace model, we assume that the input of size n lies in a random access read-only memory. The output has to be reported sequentially, and it cannot be accessed or modified. In addition, there is a read-write workspace of O(s) words, where s in {1, ..., n} is a given parameter. In a time-space trade-off, we are interested in how the running time of an algorithm improves as s varies from 1 to n. In this talk, we present a time-space trade-off for computing the Euclidean minimum spanning tree of a set V of n sites in the plane. Our running time is O(n^3 log s / s^2) time using O(s) words of workspace which smoothly transitions between the current best O(n^3)-time algorithm with O(1) words of space, and the well-known unconstrained O(n log n)-time algorithm with O(n) words of space. Joint work with Bahareh Banyassady and Wolfgang Mulzer from Freie Universität Berlin.

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