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<p>Graph invariants are a very useful tool for studying the basic characteristics of graphs. Fault-tolerant metric dimension as a graph invariant have a variety of uses in diverse domains such as robustness in network optimization, robot navigation and sensor networking among intelligent systems. In this research article, we will discuss about the fault-tolerant metric dimension of generalized Petersen graphs <i>P</i>(<i>n</i>,&#xa0;<i>m</i>) for <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(n\ge 7\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(m=3\)</EquationSource> </InlineEquation>. Furthermore, we will discuss about certain extensions of these graphs.</p>

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Fault-Tolerant Metric Dimension of Generalised Petersen Graph P(n,3)

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Sahil Sharma,
  • Vijay Kumar Bhat

摘要

Graph invariants are a very useful tool for studying the basic characteristics of graphs. Fault-tolerant metric dimension as a graph invariant have a variety of uses in diverse domains such as robustness in network optimization, robot navigation and sensor networking among intelligent systems. In this research article, we will discuss about the fault-tolerant metric dimension of generalized Petersen graphs P(n, m) for \(n\ge 7\) and \(m=3\) . Furthermore, we will discuss about certain extensions of these graphs.