Abstract We investigate some properties of Lévy vectors vector series Σ n ∈ ω v . consider a generalization an example from [P. Klinga, Rearranging on small set, J. Math. Anal. Appl. , 424(2):966–974, 2015] proving that for special class series, there exists subseries has no convergent with the sum range equal to plane. To prove this result, we introduce useful notion supervector and its proper...

• Introduce several new distance-based global and local functions based the smallest distance which are related to eccentricity, center, sum of eccentricities in graphs trees. The values acompared with some sharp bounds established. difference between eccentricity uniformity behaves a very similar way as itself. Motivated from study trees, we introduce on vertex leaf (called “uniformity” at tha...