Results 11 to 20 of about 7,298,028 (211)

On Local Fractional Topological Indices and Entropies for Hyper-Chordal Ring Networks Using Local Fractional Metric Dimension

Symmetry
An algebraic graph is defined in terms of graph theory as a graph with related algebraic structures or characteristics. If the vertex set of a graph G is a group, a ring, or a field, then G is called an algebraic structure graph. This work uses an algebraic structure graph based on the modular ring Zn, known as a hyper-chordal ring network.
Shahbaz Ali, Shahzaib Ashraf, Amal S Alali   +2 more
exaly   +3 more sources

Computing Bounds of Fractional Metric Dimension of Metal Organic Graphs

Journal of Chemistry, 2021
Metal organic graphs are hollow structures of metal atoms that are connected by ligands, where metal atoms are represented by the vertices and ligands are referred as edges. A vertex x resolves the vertices u and v of a graph G if du,x≠dv,x. For a pair u,
Mohsin Raza, Dalal Awadh Alrowaili, Muhammad Javaid, Khurram Shabbir   +3 more
doaj   +2 more sources

Upper Bound Sequences of Rotationally Symmetric Triangular Prism Constructed as Halin Graph Using Local Fractional Metric Dimension [PDF]

VFAST Transactions on Mathematics, 2021
In this paper, we consider rotationally symmetric traingular planar network with possible planar symmetries. We find local fractional metric dimension of planar symmetries. The objective is to search sequences of local fractional metric dimension of triangular prism planar networks by joining different copies. We propose and prove generalized formulas of
Mamoona Farooq, Asif Abd ul Rehman, M. Khalid Mahmood, Daud Ahmad   +3 more
core   +3 more sources

The Fractional Local Metric Dimension of Graphs [PDF]

Contributions to Discrete Mathematics
The fractional versions of graph-theoretic invariants multiply the range of applications in scheduling, assignment and operational research problems. For this interesting aspect of fractional graph theory, we introduce the fractional version of local metric dimension of graphs.
Imran Javaid, Hira Benish, Muhammad Murtaza   +2 more
core   +6 more sources

Metric Dimension of Nonplanar Networks by Fractional Technique With Application

IEEE Access
The fractional versions of graph-theoretic invariants expand the range of applications like connectivity, scheduling, assignment, and operational research.
Arooba Fatima, Muhammad Javaid, Mamo Abebe Ashebo   +2 more
doaj   +2 more sources

Fractional Metric Dimension of Generalized Sunlet Networks

Journal of Mathematics, 2021
Let N=VN,EN be a connected network with vertex VN and edge set EN⊆VN,EN. For any two vertices a and b, the distance da,b is the length of the shortest path between them.
Muhammad Javaid, Hassan Zafar, Ebenezer Bonyah   +2 more
doaj   +2 more sources

Distance-Based Fractional Dimension of Certain Wheel Networks

Journal of Mathematics
Metric dimension is one of the distance-based parameters which are used to find the position of the robot in a network space by utilizing lesser number of notes and minimum consumption of time. It is also used to characterize the chemical compounds.
Hassan Zafar, Muhammad Javaid, Mamo Abebe Ashebo   +2 more
doaj   +2 more sources

Boundedness of Convex Polytopes Networks via Local Fractional Metric Dimension [PDF]

Mathematical Problems in Engineering, 2021
Metric dimension is one of the distance-based parameter which is frequently used to study the structural and chemical properties of the different networks in the various fields of computer science and chemistry such as image processing, pattern recognition, navigation, integer programming, optimal transportation models, and drugs discovery.
Muhammad Javaid, Hassan Zafar, Amer Aljaedi, Abdulaziz Mohammad Alanazi   +3 more
openaire   +1 more source

Local Fractional Metric Dimensions of Rotationally Symmetric and Planar Networks [PDF]

IEEE Access, 2020
Mathematical modeling, coding or labeling with the help of numeric numbers based on the parameter of distance plays a vital role in the studies of the structural properties of the networks such as accessibility, centrality, clustering, complexity, connectivity, modularity, robustness and vulnerability.
Jia-Bao Liu, Muhammad Kamran Aslam, Muhammad Javaid   +2 more
openaire   +3 more sources

Computing Sharp Bounds of Metric Based Fractional Dimensions for the Sierpinski Networks

Mathematics, 2022
The concept of metric dimension is widely applied to solve various problems in the different fields of computer science and chemistry, such as computer networking, integer programming, robot navigation, and the formation of chemical structuring.
Arooba Fatima, Ahmed Alamer, Muhammad Javaid   +2 more
doaj   +1 more source