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Cube-Connected Circulants as Efficient Models for Interconnection Networks
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We introduce cube-connected circulants as efficient models for communication networks. We give an algorithm for computing a shortest path between any pair of vertices in a cube-connected circulant. We give formulas for the diameter of a cube-connected circulant and the distance between any pair of vertices in such a graph. Then we give an embedding of cube-connected circulants into hypercubes, and an embedding of hypercubes into cube-connected circulants. We show cube-connected circulants outperform a few well-known network structures in several invariants.
Title: Cube-Connected Circulants as Efficient Models for Interconnection Networks
Description:
We introduce cube-connected circulants as efficient models for communication networks.
We give an algorithm for computing a shortest path between any pair of vertices in a cube-connected circulant.
We give formulas for the diameter of a cube-connected circulant and the distance between any pair of vertices in such a graph.
Then we give an embedding of cube-connected circulants into hypercubes, and an embedding of hypercubes into cube-connected circulants.
We show cube-connected circulants outperform a few well-known network structures in several invariants.
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