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RENFANG WU1, ZIKAI TANG1, HANYUAN DENG1,*
The Balaban and sum-Balaban indices of a connected graph G=(V,E) with m edges are uv E D u D vmJ G( ) ( )11( )and uv E D u D v m SJ G( ) ( )11 ( ) , where is the cyclomatic number of G and D(v) is the summation of all distances between a vertex v and all other vertices of G, respectively. In this paper, explicit formulas for the Balaban and sum-Balaban indices index of the nanostar dendrimer NS[n] is derived according to a recursive relation of distances. Numerical values show that the Balaban index of NS[n] is not more than two and is decreasing, and its sum-Balaban index is increasing on n..
Distance, The Balaban index, The sum-Balaban index, Nanostar dendrimer.
RENFANG WU, ZIKAI TANG, HANYUAN DENG, The Balaban and sum-Balaban indices of the nanostar dendrimer NS[n], Optoelectronics and Advanced Materials - Rapid Communications, 7, 11-12, November-December 2013, pp.997-1001 (2013).
Submitted at: Nov. 21, 2012
Accepted at: Nov. 7, 2013
Optoelectronics and Advanced Materials - Rapid Communications
(2022): 0.5 - 2022 Journal Citation Reports (Clarivate Analytics, 2023)
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