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A Note on Some Bounds of the - Estrada Index of Graphs

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  • Yang Yang
  • Lizhu Sun
  • Changjiang Bu

Abstract

Let be a simple graph with vertices. Let , where and and denote the adjacency matrix and degree matrix of , respectively. is called the - Estrada index of , where denote the eigenvalues of . In this paper, the upper and lower bounds for are given. Moreover, some relations between the - Estrada index and - energy are established.

Suggested Citation

  • Yang Yang & Lizhu Sun & Changjiang Bu, 2020. "A Note on Some Bounds of the - Estrada Index of Graphs," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-11, March.
    • Handle: RePEc:hin:jnlamp:3972789
    DOI: 10.1155/2020/3972789
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