W-Energy of Induced Semigraphs of Paths and Cycles

  • Unique Paper ID: 171623
  • Volume: 5
  • Issue: 11
  • PageNo: 777-780
  • Abstract:
  • The W-energy of a semigraph G is the sum of the absolute values of its W-eigenvalues. In this paper we show that the graph energy of the classes of paths and cycles is more than the W-energy of the semigraphs when some vertices are replaced by middle vertices.

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Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{171623,
        author = {Ravikumar N},
        title = {W-Energy of Induced Semigraphs of Paths and Cycles},
        journal = {International Journal of Innovative Research in Technology},
        year = {2024},
        volume = {5},
        number = {11},
        pages = {777-780},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=171623},
        abstract = {The W-energy of a semigraph G is the sum of the absolute values of its W-eigenvalues. In this paper we show that the graph energy of the classes of paths and cycles is more than the W-energy of the semigraphs when some vertices are replaced by middle vertices.},
        keywords = {Weighted adjacency matrix; W-Energy; W-Characteristic polynomial.},
        month = {December},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 5
  • Issue: 11
  • PageNo: 777-780

W-Energy of Induced Semigraphs of Paths and Cycles

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