Question: Subject: Parallel and Distributed Computing Question 1: Show how to embed a p -node three-dimensional mesh into a p -node hypercube. What are the allowable

Subject: Parallel and Distributed Computing

Question 1: Show how to embed a p-node three-dimensional mesh into a p-node hypercube.

What are the allowable values of p for your embedding?

Question 2: Show how to embed a p-node mesh of trees into a p-node hypercube.

Question 3: Consider a complete binary tree of 2d - 1 nodes in which each node is a processing

node. What is the minimum-dilation mapping of such a tree onto a d-dimensional?

hypercube?

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