Results 31 to 40 of about 4,602 (229)
The metric dimension of Cayley digraphs
Discrete Mathematics, 2006 A vertex x in a digraph D is said to resolve a pair u, v of vertices of D if the distance from u to x does not equal the distance from v to x. A set S of vertices of D is a resolving set for D if every pair of vertices of D is resolved by some vertex of ...
Shonda Gosselin, Ortrud R Oellermann
exaly +2 more sources
Cognitive Analysis of Neural Networks Using Fractional Metric Dimension and Applications
IEEE AccessFractional versions of metric related parameters have been introduced as an equivalent to solve linear optimization problems which have applications in various fields like computer science and chemistry.
Faiza Jamil +5 more
doaj +2 more sources
IEEE AccessFractional metric parameters were introduced to address linear programming optimization problems and thereby have application in telecommunication, computer networking and linear optimization theory.
Faiza Jamil +4 more
doaj +2 more sources
On the Fractional Metric Dimension of Convex Polytopes
Mathematical Problems in Engineering, 2021 In order to identify the basic structural properties of a network such as connectedness, centrality, modularity, accessibility, clustering, vulnerability, and robustness, we need distance-based parameters. A number of tools like these help computer and chemical scientists to resolve the issues of informational and chemical structures.
M. K. Aslam +3 more
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Study of Convexo-Symmetric Networks via Fractional Dimensions
IEEE Access, 2022 For having an in-depth study and analysis of various network’s structural properties such as interconnection, extensibility, availability, centralization, vulnerability and reliability, we require distance based graph theoretic parameters ...
Muhammad Kamran Aslam +3 more
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The Metric Dimension and Local Metric Dimension of Relative Prime Graph
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 This study aims to determine the value of metric dimensions and local metric dimensions of relative prime graphs formed from modulo integer rings, namely . As a vertex set is and if and are relatively prime.
Inna Kuswandari +2 more
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The fractional k-metric dimension of graphs
Applicable Analysis and Discrete Mathematics, 2019 Let G be a graph with vertex set V (G). For any two distinct vertices x and y of G, let R{x,y} denote the set of vertices z such that the distance from x to z is not equal to the distance from y to z in G. For a function g defined on V (G) and for U ? V (G), let g(U)= ? s?U g(s). Let k(G) = min{|R{x,y}|: x ? y and x,y ? V (G)}.
Ismael Yero, Eunjeong Yi, Cong Kang
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Concentration phenomena for the fractional Q-curvature equation in dimension 3 and fractional Poisson formulas [PDF]
, 2021 We study the compactness properties of metrics of prescribed fractional $Q$-curvature of order $3$ in $R^3$. We will use an approach inspired from conformal geometry, seeing a metric on a subset of $R^3$ as the restriction of a metric on $R^4_+$ with ...
Martinazzi L. +3 more
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Mathematics, 2021 This article presents a novel four-dimensional autonomous fractional-order chaotic system (FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors, equilibrium points, fractal dimension, Lyapunov exponent, and bifurcation ...
Zain-Aldeen S. A. Rahman +5 more
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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 +3 more
openaire +1 more source