Analysis of dominating subset with minimal weight problem

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Küçük Resim

Tarih

2011

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Selcuk University Research Center of Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The paper deals with the analysis of the combinatorial problem "dominating subset with minimal weight" problem that is equivalent to a subproblem in the cutting angle method which has been developed for solving a broad class of global optimization problems. An example is given for a more clear expression of the problem and its presentation is supported by simple graph notation. Then the complexity of the problem is discussed. It is proven that the problem is strongly NP-Complete by using the weighted set covering problem. Finally analysis of dominating subset with minimal weight problem is expressed for problems in small dimensions.

Açıklama

URL: http://sjam.selcuk.edu.tr/sjam/article/view/278

Anahtar Kelimeler

Combinatorial optimization, Set covering problem, Weighted set covering problem, Kombinatoryal optimizasyon, Kaplama problemini ayarlama, Ağırlıklı set kaplama problemi

Kaynak

Selcuk Journal of Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

Cilt

12

Sayı

Künye

Ordin, B., Nuriyeva, F. (2011). Analysis of dominating subset with minimal weight problem. Selcuk Journal of Applied Mathematics, 12 (1), 43-52.