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articleNo Access
THE ISOPERIMETRIC NUMBER OF d–DIMENSIONAL k–ARY ARRAYS
- M. CEMIL AZIZOĞLU and
- ÖMER EĞECIOĞLU
International Journal of Foundations of Computer Science01 Sep 1999
Preview Abstract
The d–dimensional k-ary array is the d–fold Cartesian product graph of the path graph P_k with k vertices. We show that the (edge) isoperimetric number of is given by and identify the cardinalities and the structure of the isoperimetric sets. For odd k, the cardinalities of isoperimetric sets in are , whereas every isoperimetric set for k even has cardinality .

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