Abstract

The packet routing problem plays an essential role in communication networks. It consists in transferring data from some origins to some destinations within a reasonable amount of time. In the (l, k)-routing problem, each node can send at most l packets and receive at most k packets. Permutation routing is the particular case l = k = 1. In the r-central routing problem, all nodes at distance at most r from a fixed node v want to send a packet to v. Here, we survey the results on permutation routing, the r-central routing, and the general (l, k)-routing problems on regular plane grids, that is, square grids, triangular grids, and hexagonal grids. We assume the store-and-forward Δ-port model with synchronous transmission, and we consider both full and half-duplex networks.

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