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A study on graphs that are derived from graphs based on the intersection of all k-paths of a graph G is initiated. The \((P_{k},\mathcal {I})\) transformation graph of paths, cycles, \(P_{n} \odot pK_{1}\) and \(C_{n}\odot pK_{1}\) is discussed. Also, certain structural properties of the newly constructed graph are also discussed.

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The \((P_{k},\mathcal {I})\) Transformation Graph of a Graph

  • 会议论文

  • 发表日期：

    2026年

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  • Vinny Susan Prebhath,
  • Sudev Naduvath

摘要

A study on graphs that are derived from graphs based on the intersection of all k-paths of a graph G is initiated. The \((P_{k},\mathcal {I})\) transformation graph of paths, cycles, \(P_{n} \odot pK_{1}\) and \(C_{n}\odot pK_{1}\) is discussed. Also, certain structural properties of the newly constructed graph are also discussed.