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On the Eccentric Spectra of the Line Graph of Starlike Trees

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Listed:
  • S. Balamoorthy
  • S. V. Bharanedhar
  • Yilun Shang
  • R. Gurusamy

Abstract

A tree is called starlike if it has exactly one vertex with a degree greater than two. In this paper, we determine the eccentricity spectrum of the line graphs of starlike trees and compute their eccentric energy. Furthermore, we establish that the eccentricity matrix of the line graph of any starlike tree is irreducible.

Suggested Citation

  • S. Balamoorthy & S. V. Bharanedhar & Yilun Shang & R. Gurusamy, 2025. "On the Eccentric Spectra of the Line Graph of Starlike Trees," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnddns:v:2025:y:2025:i:1:n:9972973
    DOI: 10.1155/ddns/9972973
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    References listed on IDEAS

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    1. Rather, Bilal A. & Ganie, Hilal A. & Shang, Yilun, 2023. "Distance Laplacian spectral ordering of sun type graphs," Applied Mathematics and Computation, Elsevier, vol. 445(C).
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