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HE HUANG1, HANYUAN DENG1,*
The resistance distance r(u,v) between vertices u and v of a connected (molecular) graph G is computed as the effective resistance between nodes u and v in the corresponding network constructed from G by replacing each edge of G with a unit resistor. The Kirchhoff index Kf(G) is the sum of resistance distances between all pairs of vertices. In this work, an explicit closed-form formula for Kirchhoff index of the nanostar dendrimer NS[n] is derived according to a recursive relation of resistance distances, and the Kirchhoff index of NS[n] is approximately to 7/9 of its Wiener index and 7/15 of its detour index, respectively..
Resistance distance, Kirchhoff index, Nanostar dendrimer.
HE HUANG, HANYUAN DENG, Kirchhoff index of the nanostar dendrimer NS[n], Optoelectronics and Advanced Materials - Rapid Communications, 6, 1-2, January-February 2012, pp.188-190 (2012).
Submitted at: Sept. 7, 2011
Accepted at: Feb. 20, 2012
Optoelectronics and Advanced Materials - Rapid Communications
(2022): 0.5 - 2022 Journal Citation Reports (Clarivate Analytics, 2023)
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