Published January 1, 2012 | Version v1
Journal article Open

Dendrimers are the Unique Chemical Trees with Maximum Spectral Radius

  • 1. Isik Univ, Dept Math, TR-34980 Istanbul, Turkey
  • 2. WU Vienna Univ Econ & Business, Inst Stat & Math, A-1090 Vienna, Austria

Description

It is shown that dendrimers have maximum spectral radius and maximum Collatz-Sinogowitz index among all chemical trees of given size. The result is also generalized for the class of chemical trees with prescribed number of pendant vertices.

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