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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 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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Keywords

Details

Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
Foundations of Computing and Decision Sciences no. 40, pages 133 - 141,
ISSN: 0867-6356
Language:
English
Publication year:
2015
Bibliographic description:
Jurkiewicz M., Kubale M., Ocetkiewicz K.: On the independence number of some strong products of cycle-powers// Foundations of Computing and Decision Sciences. -Vol. 40., nr. 2 (2015), s.133-141
DOI:
Digital Object Identifier (open in new tab) 10.1515/fcds-2015-0009
Verified by:
Gdańsk University of Technology

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