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Toplam kayıt 3, listelenen: 1-3
Graphs with given degree sequence and maximal spectral radius
(Electronic Journal of Combinatorics, 2008-09-15)
We describe the structure of those graphs that have largest spectral radius in the class of all connected graphs with a given degree sequence. We show that in such a graph the degree sequence is non-increasing with respect ...
Semiregular trees with minimal Laplacian spectral radius
(Elsevier Inc, 2010-04-15)
A semiregular tree is a tree where all non-pendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency/Laplacian) spectral radius is a caterpillar. Counter ...
Dendrimers are the unique chemical trees with maximum spectral radius
(Univ Kragujevac, 2012)
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 ...