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 A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, March 14, 2017, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Jara Uitto

Lower Bounds for the Ants Nearby Treasure Search (ANTS) Problem

Consider $k$ mobile agents placed at the origin of an infinite grid that collaboratively search for a treasure hidden in the grid by an adversary. The agents are controlled by either deterministic or randomized finite automata and, given that agents $a$ and $a'$ share a grid cell, they are able to communicate with each other through constant size messages. We show that the availability of random bits and the timing parameters of the execution environment have a direct impact on the minimum number of agents needed to find the treasure. The lower bounds on the number of agents are complemented with matching upper bounds.

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