If G is a connected graph with vertex set V , then the eccentric connectivity of G, ξ C (G), is defined as v∈V deg(v) ec(v) where deg(v) is the degree of a vertex v and ec(v) is its eccentricity. We obtain an exact lower bound on ξ C (G) in terms of order, and show that this bound is satisfied by the star graph. An asymptotically sharp upper bound is also derived. In addition, for trees of give...

introduction: strength training has an important role in the exercise programs of normal individuals and athletes and it also has numerous benefits on the health of human body and spirit. one of the types of these exercise is eccentric resistance exercise which is associated with negative physiological changes. thus: this study examined the effects of a single bout of eccentric resistance exerc...

In this paper, a novel eccentric neighborhood degree-based topological indices, termed Zagreb have been conceptualized and its discriminating power investigated with regard to the predictability of boiling point chemical substances. The indices was compared that Wiener connectivity indices. Some explicit results for those new some graphs graph operations such as join, disjunction, composition, ...

Polynomial interpolation can be used to obtain closed formulas for topological indices of infinite series of molecular graphs. The method is discussed and its advantages and limitations are pointed out. This is illustrated on fullerenes C12k+4 and four topological indices: the Wiener index, the edge Wiener index, the eccentric connectivity index, and the reverse Wiener index. The results for th...

For a nontrivial graph G, its first Zagreb coindex is defined as the sum of degree sum over all non-adjacent vertex pairs in G and the second Zagreb coindex is defined as the sum of degree product over all non-adjacent vertex pairs in G. Till now, established results concerning Zagreb coindices are mainly related to composite graphs and extremal values of some special graphs. The existing liter...

conclusions the findings suggest that estrogen supplementation increases damage in testicular tissue due to eccentric exercise. results conventional light microscopic results revealed that testes tissues of the eccentric exercise administered group and the estrogen supplemented group exhibited slight impairment. in groups that were both eccentrically exercised and estrogen supplemented, more de...

For a connected graph G, the eccentric connectivity index (ECI) and the first Zagreb eccentricity index of G are defined as ( ) ( ) deg ( ) ( ) i c G i G i v V G ξ G v ε v   and ( 2 1 ) ( ) ( ) i G i v G V E G ε v   , respectively, where deg ( ) G i v is the degree of i v in G and ( ) G i ε v denotes the eccentricity of vertex i v in G. In this paper we compare the eccentric connectivity ...