Fractional metric dimension of metal-organic frameworks [PDF]
Main Group Metal Chemistry, 2021 Metal-organic frameworks (MOF(n)) are organic-inorganic hybrid crystalline porous materials that consist of a regular array of positively charged metal ions surrounded by organic ‘linker’ molecules.
Raza Mohsin +2 more
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Bounds of Fractional Metric Dimension and Applications with Grid-Related Networks [PDF]
Mathematics, 2021 Metric dimension of networks is a distance based parameter that is used to rectify the distance related problems in robotics, navigation and chemical strata. The fractional metric dimension is the latest developed weighted version of metric dimension and
Ali H. Alkhaldi +3 more
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Local Fractional Strong Metric Dimension of Certain Complex Networks [PDF]
Complexity, 2023 Fractional variants of distance-based parameters have application in the fields of sensor networking, robot navigation, and integer programming problems.
Faiza Jamil +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, 2012 A set of vertices $W$ {\em resolves} a graph $G$ if every vertex of $G$ is uniquely determined by its vector of distances to the vertices in $W$. The {\em metric dimension} for $G$, denoted by $\dim(G)$, is the minimum cardinality of a resolving set of ...
Feng, Min, Wang, Kaishun
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Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks [PDF]
Fractal and Fractional, 2021 The distance centric parameter in the theory of networks called by metric dimension plays a vital role in encountering the distance-related problems for the monitoring of the large-scale networks in the various fields of chemistry and computer science ...
Muhammad Javaid +5 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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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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Studies of Connected Networks via Fractional Metric Dimension [PDF]
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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Fractional Metric Dimension of Generalized Sunlet Networks [PDF]
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 +2 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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