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Toplam kayıt 3, listelenen: 1-3
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 ...
Four-cycled graphs with topological applications
(Birkhauser Verlag AG, 2012-03)
We call a simple graph G a 4-cycled graph if either it has no edges or every edge of it is contained in an induced 4-cycle of G. Our interest on 4-cycled graphs is motivated by the fact that their clique complexes play an ...
Graphs of given order and size and minimum algebraic connectivity
(Elsevier Science Inc, 2012-04-01)
The structure of connected graphs of given size and order that have minimal algebraic connectivity is investigated. It is shown that they must consist of a chain of cliques. Moreover, an upper bound for the number of maximal ...