In this article, we focus on solving the power dominating set problem and its connected
version. These problems are frequently used for finding optimal placements of phasor …

A topological index is a numeric quantity assigned to a graph that characterizes the structure
of a graph. Topological indices and physico‐chemical properties such as atom‐bond …

The power domination number arises from the monitoring of electrical networks and its
determination is an important problem. Upper bounds for power domination numbers can be …

Topological Properties and Computation of Silicate Networks Using Graph-Invariants Page 1
MATCH Communications in Mathematical and in Computer Chemistry MATCH Commun. Math …

Power utilities must track their power networks to respond to changing demand and
availability conditions to ensure effective and efficient operation. As a result, several power …

Dendrimers are hyper-branched macromolecules having various applications in diverse
fields like supra-molecular chemistry, drug delivery and nanotechnology etc. The certain …

Metric dimension is an essential parameter in graph theory that aids in addressing issues
pertaining to information retrieval, localization, network design, and chemistry through the …

For a graph G (V, E) that models a facility or a multi-processor network, detection devices
can be placed at vertices so as to identify the location of an intruder such as a thief or fire or …

To monitor electrical activity throughout the power grid and mitigate outages, sensors known
as phasor measurement units can installed. Due to implementation costs, it is desirable to …

Abstract Let G=(V, E) be a graph and F be a family of graphs; a subset (S⊆ V (G)) is said to
be an F-isolating set if G [V (G)∖ NG [S]] does not contain F as a subgraph for all F∈ F. The …