A Survey on Graphs Extremal with Respect to Distance–Based Topological Indices Page 1 A
Survey on Graphs Extremal with Respect to Distance–Based Topological Indices Kexiang Xua …

Introduction to Chemical Graph Theory is a concise introduction to the main topics and
techniques in chemical graph theory, specifically the theory of topological indices. These …

The Wiener index (ie, the total distance or the transmission number), defined as the sum of
distances between all unordered pairs of vertices in a graph, is one of the most popular …

The eccentric connectivity index $\xi^ c $ is a distance--based molecular structure descriptor
that was recently used for mathematical modeling of biological activities of diverse nature …

We study that over a certain type of trees (eg, all trees or all binary trees) with a given
number of vertices, which trees minimize or maximize the total number of subtrees (or …

The Wiener index of a graph is the sum of the distances between all pairs of vertices, it has
been one of the main descriptors that correlate a chemical compound's molecular graph with …

Let G be a molecular graph. The eccentric connectivity index ξc (G) is defined as ξc (G)=∑
u∈ V (G) degG (u) εG (u), where degG (u) denotes the degree of vertex u and εG (u) is the …

The Wiener index is the sum of topological distances between all pairs of vertices in a
connected graph such as represents the structural formula of a molecule. Firstly, we …

The Randić index R (G) of a graph G=(V, E) is the sum of (d (u) d (v))− 1/2 over all edges
uv∈ E of G. Bollobás and Erdős (Ars Combin. 50 (1998) 225) proved that the Randić index …

Chemical graphs, as other ones, are regular if all their vertices have the same degree.
Otherwise, they are irregular, and it is of interest to measure their irregularity both for …