On the Genus of Star Graphs

  • Authors:
  • D. A. Hoelzeman;S. Bettayeb

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1994

Quantified Score

Hi-index 14.98

Visualization

Abstract

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.