In this paper we propose two new topologies for on-chip networks that we have denoted as king mesh and king torus. These are a higher degree evolution of the classical mesh and torus topologies. In a king network packets can traverse the networks using orthogonal and diagonal movements like the king on a chess board. First we present a topological study addressing distance properties, bisection bandwidth and path diversity as well as a folding scheme. Second we analyze different routing mechanisms. Ranging from minimal distance routings to missrouting techniques which exploit the topological richness of these networks. Finally we make an exhaustive performance evaluation comparing the new king topologies with their classical counterparts. The experimental results show a performance improvement, that allow us to present these new topologies as better alternative to classical topologies.
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