Results 11 to 20 of about 1,561,879 (232)
Computing Bounds of Fractional Metric Dimension of Metal Organic Graphs [PDF]
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 +3 more
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Characterization of (Molecular) Graphs with Fractional Metric Dimension as Unity [PDF]
Journal of Chemistry, 2021 Distance-based dimensions provide the foreground for the identification of chemical compounds that are chemically and structurally different but show similarity in different reactions.
Muhammad Javaid +3 more
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Studies of Connected Networks via Fractional Metric Dimension
Journal of Mathematics, 2022 Metric dimension is an effective tool to study different distance-based problems in the field of telecommunication, robotics, computer networking, integer programming, chemistry, and electrical networking.
Hassan Zafar +2 more
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Metric-Based Fractional Dimension of Rotationally-Symmetric Line Networks
Symmetry, 2023 The parameter of distance plays an important role in studying the properties symmetric networks such as connectedness, diameter, vertex centrality and complexity. Particularly different metric-based fractional models are used in diverse fields of computer science such as integer programming, pattern recognition, and in robot navigation.
Muhammad Javaid, Rashad Ismail
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The fractional strong metric dimension in three graph products [PDF]
Discrete Applied Mathematics, 2018 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. Let $g: V(G) \rightarrow [0,1]$ be a real valued function and, for any $U \subseteq V(G)$, let $g(U)=\sum_{v \in U}g(v)$. The function $g$ is a strong resolving function
Ismael G Yero, Eunjeong Yi, Cong X Kang
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On Rotationally Symmetrical Planar Networks and Their Local Fractional Metric Dimension
Symmetry, 2023 The metric dimension has various applications in several fields, such as computer science, image processing, pattern recognition, integer programming problems, drug discovery, and the production of various chemical compounds. The lowest number of vertices in a set with the condition that any vertex can be uniquely identified by the list of distances ...
Hanen Karamti +2 more
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The fractional metric dimension of graphs [PDF]
Discrete Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Subramanian Arumugam, Varughese Mathew
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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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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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Fractional Metric Dimension of Tree and Unicyclic Graph [PDF]
Procedia Computer Science, 2015 AbstractA vertex v in a simple connected graph G resolves two vertices x and y in G if the distance from x to v is not equal to distance from y to v. The vertex set R{x, y} is defined as the set of vertices in G which resolve x and y. A function f : V(G) → [0,1] is called a resolving function of G if f (R{x, y}) ≥ 1 for any two distinct vertices x and ...
Suhadi Wido Saputro
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