Abstract

In this paper, we study the problem of channel assignment for wireless networks modelled as d-dimensional grids. In particular, for d-dimensional square grids, we present optimal assignments that achieve a channel separation of 2 for adjacent stations where the reuse distance is 3 or 4. We also introduce the notion of a colouring schema for d- dimensional square grids, and present an algorithm that assigns colours to the vertices of the grid satisfying the schema constraints.KeywordsWireless NetworkChannel AssignmentAdjacent VertexHamiltonian PathColouring SchemeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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