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Local Fractional Metric Dimensions of Generalized Petersen Networks [PDF]

open access: yesIEEE 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
doaj   +7 more sources

Classification of Upper Bound Sequences of Local Fractional Metric Dimension of Rotationally Symmetric Hexagonal Planar Networks [PDF]

open access: yesJournal 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
doaj   +3 more sources

On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs [PDF]

open access: yesSymmetry, 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 has applications in many different domains, including graph theory, network architecture, and facility ...
Delfim F M Torres   +2 more
exaly   +6 more sources

On Rotationally Symmetrical Planar Networks and Their Local Fractional Metric Dimension

open access: yesSymmetry, 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
exaly   +4 more sources

Local Fractional Strong Metric Dimension of Certain Rotationally Symmetric Planer Networks [PDF]

open access: yesIEEE 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
doaj   +4 more sources

Fractional Local Metric Dimension of Comb Product Graphs [PDF]

open access: yesمجلة بغداد للعلوم, 2020
The local resolving neighborhood  of a pair of vertices  for  and  is if there is a vertex  in a connected graph  where the distance from  to  is not equal to the distance from  to , or defined by .
Siti Aisyah   +2 more
doaj   +3 more sources

Local Fractional Strong Metric Dimension of Certain Complex Networks

open access: yesComplexity, 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
doaj   +3 more sources

Bounds of Fractional Metric Dimension and Applications with Grid-Related Networks

open access: yesMathematics, 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
doaj   +4 more sources

Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks [PDF]

open access: yesFractal 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
doaj   +4 more sources

Sharp Bounds of Local Fractional Metric Dimensions of Connected Networks

open access: yesIEEE 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
doaj   +3 more sources

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