On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy

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Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

SPRINGEROPEN

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The main purpose of this paper is to define and investigate the Kirchhoff matrix, a new Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a graph. In addition, we establish upper and lower bounds for these new indexes and energy. In the final section, we point out a new possible application area for graphs by considering this new Kirchhoff matrix. Since graph theoretical studies (including graph parameters) consist of some fixed point techniques, they have been applied in the fields such as chemistry (in the meaning of atoms, molecules, energy etc.) and engineering (in the meaning of signal processing etc.), game theory, and physics.

Açıklama

Anahtar Kelimeler

Kirchhoff matrix, Kirchhoff Estrada index, Kirchhoff energy, lower and upper bounds

Kaynak

JOURNAL OF INEQUALITIES AND APPLICATIONS

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

Sayı

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