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<p>The notion of the distance energy of a graph is computed as the sum of the absolute values of its distance eigenvalues. This article focuses on determining the distance energy of the Indu–Bala product of two regular graphs, which results in a non-regular graph. Furthermore, we establish some relationships between the distance energy of the Indu–Bala product of two regular graphs and the energy of a graph. As a result, we provide a characterization for constructing non-regular distance equienergetic graphs.</p>

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Distance Energy of Indu–Bala Product of Graphs

  • 期刊论文

  • 发表日期：

    2025年8月21日

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  • B. Parvathalu,
  • Keerthi G. Mirajkar,
  • Shobha R. Konnur,
  • Roopa S. Naikar

摘要

The notion of the distance energy of a graph is computed as the sum of the absolute values of its distance eigenvalues. This article focuses on determining the distance energy of the Indu–Bala product of two regular graphs, which results in a non-regular graph. Furthermore, we establish some relationships between the distance energy of the Indu–Bala product of two regular graphs and the energy of a graph. As a result, we provide a characterization for constructing non-regular distance equienergetic graphs.