Graph clustering with a constraint on cluster sizes


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A graph clustering problem is under study (also known as the graph approximation problem) with a constraint on cluster sizes. Some new approximation algorithm is presented for this problem, and performance guarantee of the algorithm is obtained. It is shown that the problem belongs to the class APX for every fixed p, where p is the upper bound on the cluster sizes.

作者简介

V. Il’ev

Sobolev Institute of Mathematics; Dostoevsky Omsk State University

编辑信件的主要联系方式.
Email: iljev@mail.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; pr. Mira 55-A, Omsk, 644077

S. Il’eva

Dostoevsky Omsk State University

Email: iljev@mail.ru
俄罗斯联邦, pr. Mira 55-A, Omsk, 644077

A. Navrotskaya

Sobolev Institute of Mathematics; Dostoevsky Omsk State University

Email: iljev@mail.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; pr. Mira 55-A, Omsk, 644077

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