The Mostar index is a recently introduced bond-additive distance-based graph invariant that
measures the degree of peripherality of particular edges and of the graph as a whole. It …

Every branch of mathematics employs some notion of a product that enables the com-
bination or decomposition of its elemental structures. In graph theory there are four main …

Cycloarene molecules are benzene-ring-based polycyclic aromatic hydrocarbons that have
been fused in a circular manner and are surrounded by carbon–hydrogen bonds that point …

The Wiener index W is the sum of distances between all pairs of vertices of a (connected)
graph. The paper outlines the results known for W of trees: methods for computation of W …

The Wiener index W is the sum of distances between all pairs of vertices of a (connected)
graph. Hexagonal systems (HS's) are a special type of plane graphs in which all faces are …

We propose and investigate a new bond-additive structural invariant as a measure of
peripherality in graphs. We first determine its extremal values and characterize extremal …

The entire world is struggling to control the spread of coronavirus (COVID‐19) as there are
no proper drugs for treating the disease. Under clinical trials, some of the repurposed …

The article surveys structural characterizations of several graph classes defined by distance
properties, which have in part a general algebraic flavor and can be interpreted as subdirect …

The Wiener number W (G) of a graph G is the sum of distances between all pairs of vertices
of G. If (G, w) is a vertex-weighted graph, then the Wiener number W (G, w) of (G, w) is the …

Nanostructures are tiny objects at the molecular and microscopic scale, with carbon
nanotubes being the most notable among them. The elements possess exceptional …