Abstract
In this paper, we undertake a comparative study of two important interconnection network topologies: the star graph and the hypercube, from the graph theory point of view. Topological properties are derived for the star graph and are compared with the corresponding properties of the hypercube. Among other results, we determine necessary and sufficient conditions for shortest path routing and we characterize maximum-sized families of parallel paths between any two nodes of the star graph. These parallel paths are proven of minimum length within a small additive constant. We also define greedy and asymptotically balanced spanning trees to support broadcasting and personalized communication on the star graph. These results confirm the already claimed topological superiority of the star graph over the hypercube.
| Original language | English |
|---|---|
| Pages (from-to) | 31-38 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Parallel and Distributed Systems |
| Volume | 5 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1994 |
| Externally published | Yes |
Keywords
- Balanced trees hypercubes parallel paths routing spanning trees star graphs topology
- Index Terms
ASJC Scopus subject areas
- Signal Processing
- Hardware and Architecture
- Computational Theory and Mathematics