Work-preserving real-time emulation of meshes on butterfly networks

Author

Alf-Christian Achilles, New Jersey Institute of Technology

Document Type

Thesis

Date of Award

8-31-1991

Degree Name

Master of Science in Computer Science - (M.S.)

Department

Computer and Information Science

First Advisor

Bruce David Parker

Abstract

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 Koch et al. (STOC 1989), which forms the basis for our work, is corrected and generalized by relaxing unnecessary constraints. An algorithm determining the parameter for each stage of the recursion is described and a rigorous analysis of the resulting emulation shows that it is work-preserving and real-time for an infinite number of meshes.

Data obtained from simulated embeddings suggests possible improvements to achieve a truly work-preserving emulation of the class of meshes on the class of butterflies.

Recommended Citation

Achilles, Alf-Christian, "Work-preserving real-time emulation of meshes on butterfly networks" (1991). Theses. 2351.
https://digitalcommons.njit.edu/theses/2351