INTERNATIONAL RESEARCH JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY

( Online- ISSN 2454 -3195 ) New DOI : 10.32804/RJSET

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STUDY OF LOGICAL OPERATIONS BETWEEN THE VECTORS OF A HYPER CUBE

    3 Author(s):  SUNIL TIWARI, JYOTSNA TIWARI, RAKESH KUMAR KATARE

Vol -  12, Issue- 1 ,         Page(s) : 26 - 32  (2022 ) DOI : https://doi.org/10.32804/RJSET

Abstract

This paper explore topological properties to find a node containing mirror image of node (ni) for interconnection network called hypercube and also present a symmetry relation in hypercube in the form of lemma. Hypercube has some remarkable features such as balance between degree and diameter, regularity, symmetry, scalability and simple communication pattern. Structural relations between the nodes of a hypercube is represented in the form of relation matrix is shown in this paper.

[1] Katare, R.K ., Chaudhari, N.S., “A Comparative Study of Hypercube and Perfect Difference Network for Parallel and Distributed System and its Application to Sparse Linear System.” Varahmihir journal of Computer and Information Sciences Sandipani Academic, Ujjain (M P) India, Vol. 2, pp.13-30, 2007.
[2] Behrooz,  Parhami., and Mikhail, Rakov., “Performance, Algorithmic, and Robustness Attributes of Perfect Difference Networks”, IEEE transactions on parallel and distributed systems, vol. 16, no. 8, pp 725-736.2, August 2005.
[3] Singer, James., “A Theorem in Finite Projective Geometry and Some Applications to Number Theory”, Trans. American Mathematical Society, Vol. 43, pp. 377-385, 1938.

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