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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Fractional Metric Dimension of Generalized Jahangir Graph [PDF]
Mathematics, 2019 Arumugam and Mathew [Discret. Math. 2012, 312, 1584–1590] introduced the notion of fractional metric dimension of a connected graph. In this paper, a combinatorial technique is devised to compute it. In addition, using this technique the fractional
Jia-Bao Liu +3 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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Computing Sharp Bounds of Metric Based Fractional Dimensions for the Sierpinski Networks
Mathematics, 2022 The concept of metric dimension is widely applied to solve various problems in the different fields of computer science and chemistry, such as computer networking, integer programming, robot navigation, and the formation of chemical structuring.
Arooba Fatima +2 more
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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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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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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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On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs [PDF]
Symmetry, 2023 The smallest set of vertices needed to differentiate or categorize every other vertex in a graph is referred to as the graph’s metric dimension. Finding the class of graphs for a particular given metric dimension is an NP-hard problem. This concept
Amal S Alali +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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