Abstract
A procedure for definition of neighborhood and fault free subcubes in a faulty hypercube is developed in this study. The cube algebra operations are used for proposed procedure. With this, we can increase the number of faulty elements In the hypercube. Which is obstacle for effective data processing and communication processes in such a system.
Highlights
\'crtex to other vertex In hypercube [I] To discard the faulty components 1I'01ll thc hvpelulbc the subtraction operation may be used By means of the coordinate product operation the following operations Illay be realized I) Definition of the IIalllming di"tance bet\\ecn the cubes
The coordinate subtraction operation was applied to finding the local prime implicants of the switching functions It was later known that. this operation is a good too\ fur defInition of complete nonfaulty subcubes of hypercube with fault\ ur prohibitIon \·ertlccs. for definition of the paths. including the shortest path from an\
\'crtex to other vertex In hypercube [I] To discard the faulty components 1I'01ll thc hvpelulbc the subtraction operation may be used By means of the coordinate product operation the following operations Illay be realized I) Definition of the IIalllming di"tance bet\\ecn the cubes. which is the number of links between them along the "hoflcsl path
Summary
\'crtex to other vertex In hypercube [I] To discard the faulty components 1I'01ll thc hvpelulbc the subtraction operation may be used By means of the coordinate product operation the following operations Illay be realized I) Definition of the IIalllming di"tance bet\\ecn the cubes. The intcl,cction llperation is ven useful for determination of the common parts of cubes At iirSl It \\as applied to definition of the parts of some prime implicant for switching functions which are common with other prime implicants This allowed answering the question is the given prime implicant extreme') From the point of routing In hypercube the coordinate intersection operation can be used for revelation of the COIllmun parts of cube~ with the aim of defining the parts of passage fi'om one subcube to another
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