Graph clustering with a constraint on cluster sizes


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Resumo

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.

Sobre autores

V. Il’ev

Sobolev Institute of Mathematics; Dostoevsky Omsk State University

Autor responsável pela correspondência
Email: iljev@mail.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; pr. Mira 55-A, Omsk, 644077

S. Il’eva

Dostoevsky Omsk State University

Email: iljev@mail.ru
Rússia, pr. Mira 55-A, Omsk, 644077

A. Navrotskaya

Sobolev Institute of Mathematics; Dostoevsky Omsk State University

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

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