[HTML][HTML] Sharp bounds on partition dimension of hexagonal Möbius ladder

M Azeem, M Imran, MF Nadeem - Journal of King Saud University-Science, 2022 - Elsevier
Complex networks are not easy to decode and understand to work on it, similarly, the
Möbius structure is also considered as a complex structure or geometry. But making a graph …

On the partition dimension of tri-hexagonal α-boron nanotube

A Shabbir, M Azeem - IEEE Access, 2021 - ieeexplore.ieee.org
The production of low-cost, small in size, and high in efficiency objects is the topic of
research in almost all scientific fields, especially of engineering. In this scenario …

On sharp bounds on partition dimension of convex polytopes

YM Chu, MF Nadeem, M Azeem, MK Siddiqui - IEEE access, 2020 - ieeexplore.ieee.org
Let be a connected graph and for a given-ordered partition of vertices of a connected graph
is represented as. The representation of a vertex is the vector. The partition is a resolving …

[PDF][PDF] On bounded partition dimension of different families of convex polytopes with pendant edges

A Khali, SKS Husain, MF Nadeem - AIMS Mathematics, 2022 - aimspress.com
Let ψ=(V, E) be a simple connected graph. The distance between ρ1, ρ2∈ V (ψ) is the
length of a shortest path between ρ1 and ρ2. Let Γ={Γ1, Γ2,..., Γj} be an ordered partition of …

Partition dimension of generalized petersen graph

H Raza, JB Liu, M Azeem, MF Nadeem - Complexity, 2021 - Wiley Online Library
Let G=(VG, EG) be the connected graph. For any vertex i∈ VG and a subset B⊆ VG, the
distance between i and B is d (i; B)= min {d (i, j)| j∈ B}. The ordered k‐partition of VG is …

[PDF][PDF] Cardinality bounds on subsets in the partition resolving set for complex convex polytope-like graph

ANA Koam, A Khalil, A Ahmad, M Azeem - AIMS Mathematics, 2024 - aimspress.com
Let G=(V, E) be a simple, connected graph with vertex set V (G) and E (G) edge set of G. For
two vertices a and b in a graph G, the distance d (a, b) from a to b is the length of shortest …

The bridge graphs partition dimension

A Amrullah, A Syahrul, M Turmuzi… - Journal of Physics …, 2021 - iopscience.iop.org
Finding the partition dimension of graph is still an open problem in the graph theory.
Therefore, several researchers investigate the problem in several operations of the graph …

Dimensi Metrik Pada Graf Subdivisi Kincir K_1+ [mK] _3

V Sugiarty, E Kurniawan, N Hikmah - Jurnal Pendidikan, Sains …, 2024 - jpfis.unram.ac.id
Dimensi metrik merupakan konsep penting dalam teori graf yang banyak digunakan dalam
berbagai bidang, diataranya navigasi, lokalisasi jaringan, dan desain jaringan. Konsep …

[PDF][PDF] Partition dimension of generalized Peterson and Harary graphs

AJM Khalafa, MF Nadeemb, M Azeemc… - Journal of Prime …, 2021 - researchgate.net
The distance of a connected, simple graph P is denoted by d (α1, α2), which is the length of
a shortest path between the vertices α1, α2∈ V (P), where V (P) is the vertex set of P. The l …

The partition dimension of graphs and their subdivisions for order n≤ 5

A Amrullah, A Arjudin, L Hayati… - AIP Conference …, 2023 - pubs.aip.org
To find the partition dimension, several researchers investigate the graph in various ways,
such as the graph operations or structure of the graph. In this paper, we use the subdivision …