Results 31 to 40 of about 29,241 (278)

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

The forcing dimension of a graph [PDF]

, 2000
summary:For an ordered set $W=\lbrace w_1, w_2, \cdots , w_k\rbrace $ of vertices and a vertex $v$ in a connected graph $G$, the (metric) representation of $v$ with respect to $W$ is the $k$-vector $r(v|W)$ = ($d(v, w_1),d(v, w_2),\cdots , d(v, w_k ...
Ping Zhang, Chartrand, Gary, Zhang, Ping, Gary Chartrand   +3 more
core   +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

The local metric dimension of a graph [PDF]

, 2010
summary:For an ordered set $W= \{w_1,w_2,\ldots ,w_k\}$ of $k$ distinct vertices in a nontrivial connected graph $G$, the metric code of a vertex $v$ of $G$ with respect to $W$ is the $k$-vector \[ \mathop {\rm code}(v)= ( d(v,w_1),d(v,w_2),\cdots ,d(v ...
Okamoto, Futaba, Zhang, Ping, Phinezy, Bryan   +2 more
core   +1 more source

Graded K -theory, filtered K -theory and the classification of graph algebras

, 2022
We prove that an isomorphism of graded Grothendieck groups K gr 0 of two Leavitt path algebras induces an isomorphism of a certain quotient of algebraic filtered K- theory and consequently an isomorphism of filtered K-theory of their associated graph C ...
Hazrat, Roozbeh (R16959), Ara, Pere, Li, Huanhuan   +2 more
core   +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

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

Symmetry in Graph Theory [PDF]

, 2019
This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of ""Graph Theory"". Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in ...
Rodriguez, Jose M., Rodríguez García, José Manuel   +1 more
core   +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