Optimization of quadruple circulant networks
Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 3, pp. 58-64

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The problem of maximization of the number of nodes for a fixed degree and diameter for circulant networks is considered. The known lower bound for the maximum order of quadruple circulant networks is improved by $O(\frac32d^3)$ for any odd diameter $d>1$. A family of circulant networks is found at which the obtained estimate is attained. Tabl. 1, bibl. 7.
Keywords: circulant networks, diameter, the maximum order of a graph.
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È. A. Monakhova. Optimization of quadruple circulant networks. Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 3, pp. 58-64. http://geodesic.mathdoc.fr/item/DA_2008_15_3_a5/