Results 21 to 30 of about 4,602 (229)

Local Fractional Metric Dimensions of Generalized Petersen Networks [PDF]

open access: yesIEEE Access, 2021
Metric dimension is a distance-based tool that is used in the different fields of computer science and chemistry such as navigation, combinatorial optimization, pattern recognition, image processing, integer programming and formation of chemical ...
Mohsin Raza   +2 more
doaj   +5 more sources

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

open access: yesSymmetry
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.
Shahbaz Ali   +2 more
exaly   +3 more sources

Fractional metric dimension of generalized prism graph

open access: yesProyecciones (Antofagasta), 2022
Fractional metric dimension of connected graph $G$ was introduced by Arumugam et al. in [Discrete Math. 312, (2012), 1584-1590] as a natural extension of metric dimension which have many applications in different areas of computer sciences for example ...
Rashid, Tabasam   +2 more
core   +3 more sources

The Fractional Local Metric Dimension of Graphs

open access: yesContributions 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 ...
Javaid, Imran   +2 more
core   +5 more sources

Relativistic Fractional-Dimension Gravity

open access: yesUniverse, 2021
This paper presents a relativistic version of Newtonian Fractional-Dimension Gravity (NFDG), an alternative gravitational model recently introduced and based on the theory of fractional-dimension spaces.
Gabriele U. Varieschi
doaj   +3 more sources

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

open access: yesIEEE 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 ...
Jia-Bao Liu   +2 more
doaj   +2 more sources

The Fractional Strong Metric Dimension of Graphs

open access: yesLecture Notes in Computer Science, 2013
For any two vertices x and y of a graph G, let S{x, y} denote the set of vertices z such that either x lies on a y − z geodesic or y lies on a x − z geodesic. For a function g defined on V(G) and U ⊆ V(G), let g(U) = ∑ x ∈ Ug(x). A function g: V(G) → [0,1] is a strong resolving function of G if g(S{x, y}) ≥ 1, for every pair of distinct vertices x, y ...
Cong X Kang, Eunjeong Yi, Yi Eunjeong
exaly   +3 more sources

The fractional strong metric dimension in three graph products [PDF]

open access: yesDiscrete Applied Mathematics, 2016
For any two distinct vertices $x$ and $y$ of a graph $G$, let $S\{x, y\}$ denote the set of vertices $z$ such that either $x$ lies on a $y-z$ geodesic or $y$ lies on an $x-z$ geodesic.
Yi, Eunjeong   +2 more
core   +2 more sources

Metric Based Fractional Dimension of Toeplitz Networks

open access: yesPunjab University Journal of Mathematics, 2023
Metric dimension is one of the distance based graph - theoreticparameters which is widely used in the various disciplines of sciences suchas computer science, chemistry, and engineering.
Muhammad Javaid; Department of Mathematics, School of Science, University of Management and Technology, Lahore, 54770,   +1 more
core   +2 more sources

Distance-Based Fractional Dimension of Certain Wheel Networks

open access: yesJournal 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   +2 more
doaj   +2 more sources

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