MATI

MATI

On the Harmonic Energy and Estrada index of Graphs

Yazarlar: Akbar JAHANBANİ, Hassan HEKMATYAN RAZ

Cilt 1 , Sayı 1 , 2019 , Sayfalar 1 - 20

Konular:-

Anahtar Kelimeler:Eigenvalue of graph,Energy,Harmonic Estrada index

Özet: Let G be a graph with n vertices and di is the degree of its i-th vertex( di is the degree of vi), then the Harmonic matrix of G is the square matrix of order n whose (i; j)-entry is equal to 2 di+dj if the i-th and j-th vertex of G are adjacent, and zero otherwise. The main purposes of this paper are to introduce the Harmonic Estrada index of a graph. In addition we establish upper and lower bounds for these energy and index separately also we investigate the relations between the Harmonic Estrada index and the Harmonic energy.


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BibTex
KOPYALA
@article{2019, title={On the Harmonic Energy and Estrada index of Graphs}, volume={1}, number={1}, publisher={MATI}, author={Akbar JAHANBANİ,Hassan HEKMATYAN RAZ}, year={2019}, pages={1–20} }
APA
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Akbar JAHANBANİ,Hassan HEKMATYAN RAZ. (2019). On the Harmonic Energy and Estrada index of Graphs (Vol. 1, pp. 1–20). Vol. 1, pp. 1–20. MATI.
MLA
KOPYALA
Akbar JAHANBANİ,Hassan HEKMATYAN RAZ. On the Harmonic Energy and Estrada Index of Graphs. no. 1, MATI, 2019, pp. 1–20.