Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks

被引:0
|
作者
Javaid, Muhammad [1 ]
Aslam, Muhammad Kamran [1 ]
Asjad, Muhammad Imran [1 ]
Almutairi, Bander N. [2 ]
Inc, Mustafa [3 ,4 ,5 ]
Almohsen, Bandar [2 ]
机构
[1] Univ Management & Technol, Sch Sci, Dept Math, Lahore 54700, Pakistan
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Biruni Univ, Dept Comp Engn, TR-34025 Istanbul, Turkey
[4] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
关键词
fractional metric dimension; web-related networks; resolving neighbourhoods; GRAPHS;
D O I
10.3390/fractalfract5040276
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 such as navigation, image processing, pattern recognition, integer programming, optimal transportation models and drugs discovery. In particular, it is used to find the locations of robots with respect to shortest distance among the destinations, minimum consumption of time, lesser number of the utilized nodes, and to characterize the chemical compounds, having unique presentations in molecular networks. After the arrival of its weighted version, known as fractional metric dimension, the rectification of distance-related problems in the aforementioned fields has revived to a great extent. In this article, we compute fractional as well as local fractional metric dimensions of web-related networks called by subdivided QCL, 2-faced web, 3-faced web, and antiprism web networks. Moreover, we analyse their final results using 2D and 3D plots.
引用
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页数:24
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