On the weak-integrity of trees

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Tarih

2003

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper the concept of weak-integrity is introduced as a new measure of the stability of a graph G and it is defined as $I_w(G)= min_{S \subset V (G)} \{ |S| + m_e(G-S) \}$, where $m_e$(G-S) denotes the number of edges of a largest component of G-S. We investigate the weak-integrity of trees and compute the weak-integrity of a binomial tree and all the trees with at most 7 vertices. We also give some results about the weak-integrity of graphs obtained from binary operations.
In this paper the concept of weak-integrity is introduced as a new measure of the stability of a graph G and it is defined as $I_w(G)= min_{S \subset V (G)} \{ |S| + m_e(G-S) \}$, where $m_e$(G-S) denotes the number of edges of a largest component of G-S. We investigate the weak-integrity of trees and compute the weak-integrity of a binomial tree and all the trees with at most 7 vertices. We also give some results about the weak-integrity of graphs obtained from binary operations.

Açıklama

Anahtar Kelimeler

Matematik

Kaynak

Turkish Journal of Mathematics

WoS Q Değeri

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Cilt

27

Sayı

3

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