Local Fractional Strong Metric Dimension of Certain Rotationally Symmetric Planer Networks [PDF]
IEEE Access, 2021 Fractional versions of metric based networks invariants widen the scope of application in fields of intelligent systems, computer science and chemistry including, robot navigation, sensor networking, linear optimization problems, scheduling, assignment ...
Faiza Jamil +4 more
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Classification of Upper Bound Sequences of Local Fractional Metric Dimension of Rotationally Symmetric Hexagonal Planar Networks [PDF]
Journal of Mathematics, 2021 The term metric or distance of a graph plays a vital role in the study to check the structural properties of the networks such as complexity, modularity, centrality, accessibility, connectivity, robustness, clustering, and vulnerability.
Shahbaz Ali +3 more
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On the Upper Bounds of Fractional Metric Dimension of Symmetric Networks [PDF]
Journal of Mathematics, 2021 Distance-based numeric parameters play a pivotal role in studying the structural aspects of networks which include connectivity, accessibility, centrality, clustering modularity, complexity, vulnerability, and robustness.
Muhammad Javaid +2 more
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Cognitive Analysis of Neural Networks Using Fractional Metric Dimension and Applications [PDF]
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
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Metric Dimension of Nonplanar Networks by Fractional Technique With Application
IEEE AccessThe fractional versions of graph-theoretic invariants expand the range of applications like connectivity, scheduling, assignment, and operational research.
Arooba Fatima +2 more
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The fractional $k$-truncated metric dimension of graphs [PDF]
, 2021 14 pages, 2 ...
Eunjeong Yi
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Local Fractional Metric Dimensions of Generalized Petersen Networks [PDF]
IEEE 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
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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
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On the metric dimension and fractional metric dimension for hierarchical product of graphs [PDF]
Applicable Analysis and Discrete Mathematics, 2013 A set of vertices W resolves a graph G if every vertex of G is uniquely determined by its vector of distances to the vertices in W. The metric dimension for G, denoted by dim(G), is the minimum cardinality of a resolving set of G. In order to study the metric dimension for the hierarchical product Gu22 ? Gu11 of two rooted graphs Gu22 and Gu11, we
Min Feng, Kaishun Wang
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The fractional k-metric dimension of graphs
Applicable Analysis and Discrete Mathematics, 2018 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)}.
Cong X. Kang +2 more
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