Sw. Graham et Sr. Seidel, THE COST OF BROADCASTING ON STAR GRAPHS AND KAPPA-ARY HYPERCUBES, I.E.E.E. transactions on computers, 42(6), 1993, pp. 756-759
It is shown that, for two common broadcasting problems, a star graph p
erforms better than a k-ary hypercube with a comparable number of node
s only in networks consisting of impractically large numbers of nodes.
This result is based on a comparison of the costs of known solutions
to the one-to-all broadcast and the complete broadcast problems for ea
ch network. The cost of solutions to these common problems is a better
indication of the expected performance of an interconnection network
than is a comparison of scalar measures such as the diameter and degre
e.