Results 31 to 40 of about 25,428 (269)

Prompt-to-Problems in Graph Theory: Generating Novel Open Problems on Metric Dimension

Geneson, Jesse
openaire   +2 more sources

Computing Edge Version of Resolvability and Double Resolvability of a Graph

Journal of Chemistry, 2022
The field of graph theory is extensively used to investigate structure models in biology, computer programming, chemistry, and combinatorial optimization. In order to work with the chemical structure, chemists require a mathematical form of the compound.
Muhammad Ahmad, Zohaib Zahid, Tabasam Rashid, Juan Luis Garcia Guirao   +3 more
doaj   +1 more source

Local Partition Dimension of Grid Graph and Its Application to the Coordinates of Potential Disaster Areas in Jember Regency

JTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Partition dimension was introduced as a part of interesting topic in graph theory. It was focus to observe about distance. The local partition dimension is an expansion of the partition dimension by adding certain conditions to the representation of the ...
Ilham Saifudin, Reni Umilasari, Nanang Saiful Rizal   +2 more
doaj   +1 more source

Scrambling in Yang-Mills

Journal of High Energy Physics, 2021
Acting on operators with a bare dimension ∆ ∼ N 2 the dilatation operator of U(N) N $$ \mathcal{N} $$ = 4 super Yang-Mills theory defines a 2-local Hamiltonian acting on a graph.
Robert de Mello Koch, Eunice Gandote, Augustine Larweh Mahu   +2 more
doaj   +1 more source

Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid

Mathematics, 2021
Geometric arrangements of hexagons into six sides of benzenoids are known as coronoid systems. They are organic chemical structures by definition. Hollow coronoids are divided into two types: primitive and catacondensed coronoids.
Ali N. A. Koam, Ali Ahmad, Muhammad Ibrahim, Muhammad Azeem   +3 more
doaj   +1 more source

A central local metric dimension on acyclic and grid graph

AIMS Mathematics, 2023
The local metric dimension is one of many topics in graph theory with several applications. One of its applications is a new model for assigning codes to customers in delivery services. Let $ G $ be a connected graph and $ V(G) $ be a vertex set of $ G $.
Yuni Listiana, Liliek Susilowati, Slamin Slamin, Fadekemi Janet Osaye   +3 more
doaj   +1 more source

A Central Local Metric Dimension of Generalized Fan Graph, Generalized Broken Fan Graph, and Cm ⊙ K¯m [PDF]

E3S Web of Conferences
The central local metric dimension is a new variation of local metric dimension that introduced in 2023. The central local metric dimension is a new concept that enriches research studies in graph theory, especially in the field of metric dimension. This
Listiana Yuni, Susilowati Liliek, Slamin
doaj   +1 more source

Metric and Fault-Tolerant Metric Dimension of Hollow Coronoid

IEEE Access, 2021
Coronoid systems actually arrangements of hexagons into six sides of benzenoids. By nature, it is an organic chemical structure. Hollow coronoids are primitive and catacondensed coronoids. It is also known as polycyclic conjugated hydrocarbons.
Ali N. A. Koam, Ali Ahmad, Mohammed Eltahir Abdelhag, Muhammad Azeem   +3 more
doaj   +1 more source

The Application of Fault-Tolerant Partition Resolvability in Cycle-Related Graphs

Applied Sciences, 2022
The concept of metric-related parameters permeates all of graph theory and plays an important role in diverse networks, such as social networks, computer networks, biological networks and neural networks.
Kamran Azhar, Sohail Zafar, Agha Kashif, Amer Aljaedi, Umar Albalawi   +4 more
doaj   +1 more source

THE METRIC DIMENSION OF CYCLE BOOK GRAPHS B_(C_(m,n) ) FORMED BY A COMMON PATH P_2

Barekeng
This paper investigates the metric dimension of a class of graphs known as cycle books, denoted ​, which feature a shared path ​ across multiple cycles.
Jaya Santoso, Darmaji Darmaji, Ana Muliyana, Asido Saragih   +3 more
doaj   +1 more source