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Gdańsk University of Technology

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On the independence number of some strong products of cycle-powers

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 alpha((C^2_10)^⊠3) = 30 and alpha((C^4 _14)^⊠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.

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DOI
Digital Object Identifier link open in new tab 10.1515/fcds-2015-0009
Category
Publikacja w czasopiśmie
Type
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Language
angielski
Publication year
2015

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