On Kirchhoff Index and Resistance-Distance Energy of a Graph

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Tarih

2012

Dergi Başlığı

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Yayıncı

Univ Kragujevac, Fac Science

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We report lower hounds for the Kirchhoff index of a connected (molecular) graph in terms of its structural parameters such as the number of vertices (atoms), the number of edges (bonds), maximum vertex degree (valency), second maximum vertex degree and minimum vertex degree. Also we give the Nordhaus-Gaddum-type result for Kirchhoff index. In this paper we define the resistance distance energy as the sum of the absolute values of the eigenvalues of the resistance distance matrix and also we obtain lower and upper bounds for this energy.

Açıklama

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Kaynak

Match-communications in Mathematical and in Computer Chemistry

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

67

Sayı

2

Künye

Das, K. C., Güngör, A. D., Çevik, A. S., (2012). On Kirchhoff Index and Resistance-Distance Energy of a Graph. Match-communications in Mathematical and in Computer Chemistry, 67(2), 541-556.