On a~construction of quadruple circulant networks with the maximal number of nodes for any diameter
Prikladnaâ diskretnaâ matematika, no. 3 (2013), pp. 76-85.

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For undirected circulant networks, the maximization problem for the number of nodes under given degree and diameter of a graph is considered. A new lower estimate is obtained for the attainable number of nodes in the circulant graphs of dimension 4 and any diameter. Some new infinite families of circulants reaching this estimate are constructed. For graphs of these families, some analytical descriptions are given.
Keywords: undirected circulant graphs, diameter, maximum order of a graph.
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E. A. Monakhova. On a~construction of quadruple circulant networks with the maximal number of nodes for any diameter. Prikladnaâ diskretnaâ matematika, no. 3 (2013), pp. 76-85. http://geodesic.mathdoc.fr/item/PDM_2013_3_a7/

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