Domination by computer

Duration: 11min 37sec Views: 1322 Submitted: 26.05.2020
Category: Mature
We study graph searching games where a number of cops try to capture a robber that is hiding in a system of tunnels modelled as a graph. While the current position of the robber is unknown to the cops, each cop can see a certain radius d around his position. We are primarily interested in questions concerning the complexity and monotonicity of these games. We show that dominating games are computationally much harder than standard graph searching games where the cops only see their own vertex and establish strong non-monotonicity results for various notions of monotonicity which arise naturally in the context of domination games.

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On Traffic Domination in Communication Networks | SpringerLink

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Milestones and Future Challenges pp Cite as. These matrices are explicitly considered in problem formulations for link dimensioning. However, many of these matrices are usually dominated by others so only a relatively small subset of matrices would be sufficient to obtain proper link capacity reservations, supporting all original traffic matrices.