Trees are a common structure to represent the inter-task communication pattern of a parallel algorithm. In this paper, we consider the problem of embedding a complete binary tree in a star graph with the objective of minimizing congestion and dilation. We develop a congestion-free, dilation-2, load-1 embedding of a level-p binary tree into an n-dimensional star graph, where p=Σi=2n [log i] and k is any positive integer. The result offers a tree of size comparable or superior to existing results, but with less congestion and dilation
Published in:
Algorithms and Architectures for Parallel Processing, 1997. ICAPP 97., 1997 3rd International Conference on
Date of Conference: 10-12 Dec 1997