The augmented eccentric connectivity index of a graph which is a generalization of eccentric connectivity index is defined as the summation of the quotients of the product of adjacent vertex degrees and eccentricity of the concerned vertex of a graph. In this paper we established some relationships between augmented eccentric connectivity index and several other graph invariants like number of ...

Let [Formula: see text] be a graph. A set [Formula: see text] is a distance k-dominating set of G if for every vertex [Formula: see text], [Formula: see text] for some vertex [Formula: see text], where k is a positive integer. The distance k-domination number [Formula: see text] of G is the minimum cardinality among all distance k-dominating sets of G. The first Zagreb index of G is defined as ...

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, ...

Abstract In this paper, we give various lower and upper bounds for the energy of graphs in terms several topological indices graphs: first general multiplicative Zagreb index, Randić zeroth-order redefined indices, atom-bond connectivity index. Moreover, obtain new certain graph invariants as diameter, girth, algebraic radius.

Abstract A topological descriptor is a mathematical illustration of molecular construction that relates particular physicochemical properties primary structure as well its depiction. Topological co-indices are usually applied for quantitative actions relationships (QSAR) and structures property (QSPR). descriptors which considered the noncontiguous vertex set. We study accompanying some renowne...