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Local Fractional Metric Dimensions of Rotationally Symmetric and Planar Networks [PDF]
IEEE Access, 2020 Mathematical modeling, coding or labeling with the help of numeric numbers based on the parameter of distance plays a vital role in the studies of the structural properties of the networks such as accessibility, centrality, clustering, complexity ...
Jia-Bao Liu +2 more
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On the Fractional Metric Dimension of Convex Polytopes [PDF]
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.
Muhammad Kamran Aslam +3 more
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Sharp Bounds of Local Fractional Metric Dimensions of Connected Networks [PDF]
IEEE Access, 2020 Metric dimension is a distance based parameter which is used to determine the locations of machines (or robots) with respect to minimum consumption of time, shortest distance among the destinations and lesser number of the utilized nodes as places of the
Muhammad Javaid +3 more
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The Fractional Local Metric Dimension of Graphs [PDF]
Contributions to Discrete MathematicsThe fractional versions of graph-theoretic invariants multiply the range of applications in scheduling, assignment and operational research problems. For this interesting aspect of fractional graph theory, we introduce the fractional version of local metric dimension of graphs.
Imran Javaid +2 more
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Bounds on Fractional-Based Metric Dimension of Petersen Networks [PDF]
Computer Modeling in Engineering & Sciences, 2022 Dalal Awadh Alrowali +2 more
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On the fractional metric dimension of graphs
Discrete Applied Mathematics, 2014 In [S. Arumugam, V. Mathew and J. Shen, On fractional metric dimension of graphs, preprint], Arumugam et al. studied the fractional metric dimension of the cartesian product of two graphs, and proposed four open problems. In this paper, we determine the fractional metric dimension of vertex-transitive graphs, in particular, the fractional metric ...
Min Feng, Benjian Lv, Kaishun Wang
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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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The fractional $k$-truncated metric dimension of graphs [PDF]
, 2021 14 pages, 2 ...
Eunjeong Yi
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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
Cong X. Kang +2 more
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Fractional metric dimension of generalized prism graph
Proyecciones (Antofagasta), 2022 Fractional metric dimension of connected graph $G$ was introduced by Arumugam et al. in [Discrete Math. 312, (2012), 1584-1590] as a natural extension of metric dimension which have many applications in different areas of computer sciences for example optimization, intelligent systems, networking and robot navigation.
Nosheen Goshi +2 more
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