Dendrimers are the unique chemical trees with maximum spectral radius
Citation
Bıyıkoğlu, T. & Leydold, J. (2012). Dendrimers are the unique chemical trees with maximum spectral radius. MATCH-Communications in Mathematical and in Computer Chemistry, 68(3), 851-854.Abstract
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.