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English version:
Journal of Applied and Industrial Mathematics, 2016, 10:3, 341–348

Volume 23, No 3, 2016, P. 5-20

UDC 519.8
V. P. Il’ev, S. D. Il’eva, and A. A. Navrotskaya
Graph clustering with a constraint on cluster sizes

Abstract:
A graph clustering problem (also known as the graph approximation problem) with a constraint on cluster sizes is studied. A new approximation algorithm is presented for this problem and performance guarantee of this algorithm is obtained. It is shown that the problem belongs to class APX for every fixed $p$, where $p$ is the upper bound on the cluster sizes.
Ill. 2, bibliogr. 20.

Keywords: clustering, approximation, graph, approximation algorithm, performance guarantee.

DOI: 10.17377/daio.2016.23.521

Victor P. Il’ev 1,2
Svetlana D. Il’eva 2

Anna A. Navrotskaya 1,2
1. Sobolev Institute of Mathematics,
4 Koptyug Ave., 630090 Novosibirsk, Russia
2. Omsk State University,
55-A Mir Ave., 644077 Omsk, Russia
e-mail: iljev@mail.ru, nawrocki@ya.ru

Revised 28 March 2016

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