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<p>Let <i>G</i> be a finite group and <i>H</i> be a subgroup of <i>G</i>. In this paper, we defined two graphs <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Omega _{tic}(G)\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\Omega _{d,tic}(G)\)</EquationSource> </InlineEquation> on a finite group <i>G</i>. Further, we give a characterization of normal subgroup of <i>G</i>.</p>

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On Trans-Isotopic-Class Graphs

  • 期刊论文

  • 发表日期：

    2026年1月9日

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  • Chandan Singh Kharvar,
  • R. P. Shukla

摘要

Let G be a finite group and H be a subgroup of G. In this paper, we defined two graphs \(\Omega _{tic}(G)\) and \(\Omega _{d,tic}(G)\) on a finite group G. Further, we give a characterization of normal subgroup of G.