Computing metric dimension and metric basis of 2D lattice of alpha-boron nanotubes

Z Hussain, M Munir, M Chaudhary, SM Kang - Symmetry, 2018 - mdpi.com
Concepts of resolving set and metric basis has enjoyed a lot of success because of multi-
purpose applications both in computer and mathematical sciences. For a connected graph G …

Metric basis and metric dimension of 1-pentagonal carbon nanocone networks

Z Hussain, M Munir, A Ahmad, M Chaudhary… - Scientific Reports, 2020 - nature.com
Resolving set and metric basis has become an integral part in combinatorial chemistry and
molecular topology. It has a lot of applications in computer, chemistry, pharmacy and …

[PDF][PDF] Computing Connected Resolvability of Graphs Using Binary Enhanced Harris Hawks Optimization.

B Mohamed, L Mohaisen, M Amin - Intelligent Automation & Soft …, 2023 - researchgate.net
In this paper, we consider the NP-hard problem of finding the minimum connected resolving
set of graphs. A vertex set B of a connected graph G resolves G if every vertex of G is …

Fault‐Tolerant Metric Dimension of Generalized Wheels and Convex Polytopes

ZB Zheng, A Ahmad, Z Hussain, M Munir… - Mathematical …, 2020 - Wiley Online Library
For a graph G, an ordered set S⊆ V (G) is called the resolving set of G, if the vector of
distances to the vertices in S is distinct for every v∈ V (G). The minimum cardinality of S is …

Computing metric dimension of power of total graph

S Nawaz, M Ali, MA Khan, S Khan - IEEE Access, 2021 - ieeexplore.ieee.org
For a connected graph, the distance between any two vertices, is defined as; ie the minimum
length of path connecting any two vertices. Two vertices, of a graph are said to be resolved …

Localisation of honeycomb rectangular torus

M Nazar, M Azeem, M Kamran Jamil - Molecular Physics, 2024 - Taylor & Francis
The localisation of a network is the process of gaining access to a node's precise location or
position. Using this technology, it is possible to determine the exact position of each network …

A hybrid optimization algorithms for solving metric dimension problem

B Mohamed, M Amin - Available at SSRN 4504670, 2023 - papers.ssrn.com
In this paper, we consider the NP-hard problem of finding the minimum resolving set of
graphs. A vertex set B of a connected graph G resolves G if every vertex of G is uniquely …

Resolving-power domination number of probabilistic neural networks

S Prabhu, S Deepa, M Arulperumjothi… - Journal of Intelligent …, 2022 - content.iospress.com
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 …

Bounds for partition dimension of M-wheels

Z Hussain, SM Kang, M Rafique, M Munir, U Ali… - Open Physics, 2019 - degruyter.com
Resolving partition and partition dimension have multipurpose applications in computer,
networking, optimization, mastermind games and modelling of chemical substances. The …

Sharp bounds for partition dimension of generalized Möbius ladders

Z Hussain, JA Khan, M Munir, MS Saleem… - Open …, 2018 - degruyter.com
The concept of minimal resolving partition and resolving set plays a pivotal role in diverse
areas such as robot navigation, networking, optimization, mastermind games and coin …