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An upper bound for the Hosoya index of trees
Hosoya index of graphs tree eigenvalue of graphs
2010/9/13
The Hosoya index of a graph G is defined as the sum of all the numbers of k - matchings (k ≥ 0) in G. An upper bound for the Hosoya index of trees is presented in this note.
A New Upper Bound of the Logarithmic Mean
Logarithmic mean Power mean Heron mean Best constant
2008/7/3
A New Upper Bound of the Logarithmic Mean.
On an Upper Bound for the Deviations from the Mean Value
Arithmetic mean Square mean Cauchy-Schwarz-Buniakovski inequality Triangle inequality
2008/6/30
A completely elementary proof of a known upper bound for the deviations from the mean value is given. Related inequalities are also discussed. Applications to triangle inequalities provide characteriz...
On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders
uniformly elliptic operators of any orders
2007/12/10
r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].
