Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

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

Mittagsseminar Talk Information

Date and Time: Thursday, April 28, 2022, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Lasse Wulf (TU Graz)

Non-preemptive tree packing

An instance of the non-preemptive tree packing problem consists of an undirected graph together with a weight w(e) for every edge. The goal is to activate every edge e for some time interval of length w(e), such that the activated edges keep G connected for the longest possible overall time. This problem can be understood as a variant of the classical tree-packing problem of Nash-Williams, with an additional constraint that enforces "non-preemptiveness". We derive a variety of results on this problem. The problem is strongly NP-hard even on graphs of treewidth 2, and it does not allow a polynomial time approximation scheme (unless P = NP). Furthermore, we discuss the performance of a simple greedy algorithm, and we construct and analyze a number of parameterized and exact algorithms.

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