Metric dimension is a distance based parameter which is used to determine the locations of
machines (or robots) with respect to minimum consumption of time, shortest distance among …

Arumugam and Mathew [Discret. Math. 2012, 312, 1584–1590] introduced the notion of
fractional metric dimension of a connected graph. In this paper, a combinatorial technique is …

Mathematical modeling, coding or labeling with the help of numeric numbers based on the
parameter of distance plays a vital role in the studies of the structural properties of the …

In order to identify the basic structural properties of a network such as connectedness,
centrality, modularity, accessibility, clustering, vulnerability, and robustness, we need …

In this paper, a new family of rotationally symmetric planar graphs is described based on an
edge coalescence of planar chorded cycles. Their local fractional metric dimension is …

Let N=(V (N), E (N)) be a connected network with vertex V (N) and edge set E (N)⊆(V (N), E
(N)). For any two vertices a and b, the distance d (a, b) is the length of the shortest path …

Metric dimension of networks is a distance based parameter that is used to rectify the
distance related problems in robotics, navigation and chemical strata. The fractional metric …

All graphs in this paper are nontrivial and connected simple graphs. For a set W={s1, s2,...,
sk} of verticesof G, the multiset representation of a vertex v of G with respect to W is r (v …

The parameter of distance in the theory of networks plays a key role to study the different
structural properties of the understudy networks or graphs such as symmetry, assortative …

Metal organic graphs are hollow structures of metal atoms that are connected by ligands,
where metal atoms are represented by the vertices and ligands are referred as edges. A …