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On some combinatorial properties of meshes

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1 Author(s)
Sarbazi-Azad, H. ; Dept. of Comput. Eng., Sharif Univ. of Technol., Tehran, Iran

The mesh structure has been used as the underlying topology for many practical multicomputers, and has been extensively studied in the past. In this paper, we investigate some topological properties of meshes. In particular, we study the problem of finding the number of nodes located at a given distance from a given node (surface area) and the number of nodes located within a given distance from a given node (volume), and have derived some expressions calculating these numbers.

Published in:

Parallel Architectures, Algorithms and Networks, 2004. Proceedings. 7th International Symposium on

Date of Conference:

10-12 May 2004