the degree kirchhoff index of a connected graph $g$ is defined as‎ ‎the sum of the terms $d_i,d_j,r_{ij}$ over all pairs of vertices‎, ‎where $d_i$ is the‎ ‎degree of the $i$-th vertex‎, ‎and $r_{ij}$ the resistance distance between the $i$-th and‎ ‎$j$-th vertex of $g$‎. ‎bounds for the degree kirchhoff index of the line and para-line‎ ‎graphs are determined‎. ‎the special case of regular grap...

ABSTRACT Introduction: Long jump is a technically complex sport. Its technique encompasses running, jumping, and landing. It has high speed, fast pace, high-intensity characteristics. Objective: Study the effect of long training on bone repair rehabilitation human fatigue injury in lower limbs young athletes. Methods: A scientific literature search, experimental comparison, mathematical statist...

Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine ...

BACKGROUND Long-term endurance sport practice leads to eccentric left ventricular hypertrophy (LVH). We aimed to compare the new 4-tiered classification (4TC) for LVH with the established 2-tiered classification (2TC) in a cohort of normotensive non-elite endurance athletes. METHODS Male participants of a 10-mile race were recruited and included when blood pressure (BP) was normal (<140/90 mm...

The Canberra distance is the sum of absolute values of the differences between ranks divided by their sum, thus it is a weighted version of the L1 distance. As a metric on permutation groups, the Canberra distance is a measure of disarray for ranked lists, where rank differences in top positions need to pay higher penalties than movements in the bottom part of the lists. Here we describe the di...

From the analysis of the recent CCFR Collaboration data for the structure function xF3(x,Q ) (0.015 < x < 0.65 and 1.2 GeV 2 < |Q| < 501 GeV ) of the deep inelastic neutrino nucleon scattering we conclude that probably part of the nucleon baryon number is due to the vacuum polarization effects. The deep inelastic lepton nucleon scattering processes (DIS) occurring at small distances characteriz...