True 3-D displays for avionics and mission crewstations
Elizabeth A. Sholler, Frederick M. Meyer, et al.
SPIE AeroSense 1997
A solution to the following fundamental communication problem is presented. Suppose that n tokens are arbitrarily distributed among n processors with no processor having more than K tokens. The problem is to specify a bounded-degree network topology and an algorithm that can distribute the tokens uniformly among the processors. The first result is a tight Θ(K + log n) bound on the complexity of this problem. It is also shown that an approximate version of this problem can be solved deterministically in O(K + log n) on any expander graph with sufficiently large expansion factor. In the second part of this work, it is shown how to extend the solution for the approximate distribution problem to an optimal probabilistic algorithm for the exact distribution problem on a similar class of expander graphs. These results have direct applications to the efficient implementation of many-to-one and one-to-many communication requests, as well as to the solution of load-balancing problems in distributed systems.
Elizabeth A. Sholler, Frederick M. Meyer, et al.
SPIE AeroSense 1997
Michael C. McCord, Violetta Cavalli-Sforza
ACL 2007
Pradip Bose
VTS 1998
Liqun Chen, Matthias Enzmann, et al.
FC 2005