Some results on harmonic index of root square mean graphs

S.S. Sandhya; H. Aswathy

doi:10.26637/MJM0804/0163

Abstract

The Harmonic index \(H(G)\) of a graph \(G\) is defined as the sum of weights \(\frac{2}{d(u)+d(v)}\) of all edges \(u v\) of \(G\), where \(d(u)\) denotes the degree of a vertex \(u\) in \(G\). In this paper, we introduce harmonic index of some root square mean graphs.

Keywords:

Root square mean graphs, Harmonic index, Crown, Dragon, Kite

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S.S. Sandhya Department of Mathematics, Sree Ayyappa College for Women, Chunkankadai, Kanyakumari District, Tamil Nadu, India. Affiliated to Manonmaniam Sundaranar University, Abishekapatti-Tirunelveli-627012.
H. Aswathy Department of Mathematics, Sree Ayyappa College for Women, Chunkankadai, Kanyakumari District, Tamil Nadu, India. Affiliated to Manonmaniam Sundaranar University, Abishekapatti-Tirunelveli-627012.

Pages: 2277-2281
Date Published: 23-11-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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