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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Algebraic Approach to Transformations on Hypercube System

by
Ş. Ş. Kahramanlı
1,* and
N. M. Allahverdi
2
1
Section of Computer Progamming, Teknik Bilimler Meslek Yuksekokulu, Seleuk University, 42031, Konya, Turkey
2
Department of Computers and Systems, Azerbaijan Technical University, 370622 Baku, Azerbaijan
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 1996, 1(1), 50-59; https://doi.org/10.3390/mca1010050
Published: 1 June 1996
Versions Notes

Abstract

In this study some algebraic transformations on hypercube system are proposed. The presented transformations of forbidden subcubes provide defining set of all maximal and nonfaulty subcubes, and subset of minimal and nonfaulty subcubes included certain given vertices. It provides formal and simple findings of all the current sources and targets of information, and also the pathways between them. The correctness of all these transformations is proved by the aid of three theorems. In the proposed transformations there were three special operations of cube algebra applied, as subtraction, product and intersection on coordinates.
Keywords: Hypercube; fault tolerance; cube algebra; nonfauhy and maximal subcubes Hypercube; fault tolerance; cube algebra; nonfauhy and maximal subcubes

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MDPI and ACS Style

Kahramanlı, Ş.Ş.; Allahverdi, N.M. Algebraic Approach to Transformations on Hypercube System. Math. Comput. Appl. 1996, 1, 50-59. https://doi.org/10.3390/mca1010050

AMA Style

Kahramanlı ŞŞ, Allahverdi NM. Algebraic Approach to Transformations on Hypercube System. Mathematical and Computational Applications. 1996; 1(1):50-59. https://doi.org/10.3390/mca1010050

Chicago/Turabian Style

Kahramanlı, Ş. Ş., and N. M. Allahverdi. 1996. "Algebraic Approach to Transformations on Hypercube System" Mathematical and Computational Applications 1, no. 1: 50-59. https://doi.org/10.3390/mca1010050

APA Style

Kahramanlı, Ş. Ş., & Allahverdi, N. M. (1996). Algebraic Approach to Transformations on Hypercube System. Mathematical and Computational Applications, 1(1), 50-59. https://doi.org/10.3390/mca1010050

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