On The Independence Number Of Some Strong Products Of Cycle-Powers

Abstract

In the paper we give some theoretical and computational results on the third strong power of cycle-powers, for example, we have found the independence numbers α((C102)√3) = 30 and α((C144)√3) = 14. A number of optimizations have been introduced to improve the running time of our exhaustive algorithm used to establish the independence number of the third strong power of cycle-powers. Moreover, our results establish new exact values and/or lower bounds on the Shannon capacity of noisy channels.

Keywords

• strong product
• exhaustive search algorithm
• independence number
• shannon capacity