Physical Sciences and Mathematics Commons^™

Work-Preserving Real-Time Emulation Of Meshes On Butterfly Networks, Alf-Christian Achilles

Theses

The emulation of a guest network G on a host network H is work-preserving and real-time if the inefficiency, that is the ratio W_G/W_H of the amounts of work done in both networks, and the slowdown of the emulation are O(1).

In this thesis we show that an infinite number of meshes can be emulated on a butterfly in a work-preserving real-time manner, despite the fact that any emulation of an s x s-node mesh in a butterfly with load 1 has a dilation of Ω(logs).

The recursive embedding of a mesh in a butterfly presented by …