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On the Genus of Star Graphs
June 1994 (vol. 43 no. 6)
pp. 755-759

The star graph has recently been suggested as an alternative to the hypercube. The star graph has a rich structure and symmetry properties as well as desirable fault-tolerant characteristics. The star graph's maximum vertex degree and diameter, viewed as functions of network size, grow less rapidly than the corresponding measures in a hypercube. We investigate the genus of the star graph and compare it with the genus of the hypercube.

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Index Terms:
hypercube networks; fault tolerant computing; reliability; genus of star graphs; hypercube; symmetry properties; fault-tolerant characteristics; maximum vertex degree.
Citation:
D.A. Hoelzeman, S. Bettayeb, "On the Genus of Star Graphs," IEEE Transactions on Computers, vol. 43, no. 6, pp. 755-759, June 1994, doi:10.1109/12.286309
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