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Prikl. Diskr. Mat. Suppl., 2015, Issue 8, Pages 127–128 (Mi pdma211)  

Applied Theory of Coding, Automata and Graphs

On the diversity of balls in a graph of a given diameter

T. I. Fedoryaeva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: The diversity vectors for balls in connected graphs are asymptotically studied. Here for a graph, the $i$th component of the vector is equal to the number of different balls of radius $i$ in the graph. The asymptotic behavior of the number of graphs with a special (in particular with the local) diversity of balls is researched. The diversity of balls of large radii in a graph of a given diameter is described.

Keywords: graph, balls, radius of ball, the diversity vector for balls.

DOI: https://doi.org/10.17223/2226308X/8/48

Full text: PDF file (524 kB)
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UDC: 519.1+519.173

Citation: T. I. Fedoryaeva, “On the diversity of balls in a graph of a given diameter”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 127–128

Citation in format AMSBIB
\Bibitem{Fed15}
\by T.~I.~Fedoryaeva
\paper On the diversity of balls in a~graph of a~given diameter
\jour Prikl. Diskr. Mat. Suppl.
\yr 2015
\issue 8
\pages 127--128
\mathnet{http://mi.mathnet.ru/pdma211}
\crossref{https://doi.org/10.17223/2226308X/8/48}


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