Mathematics and Computational Sciences

Spectral Characterization of Intuitionistic Fuzzy Graphs

Articles in Press

Document Type : Original Article

Authors

SENBAGA PRIYA K 1
Vishalakshi K 1
Selva Nandhini N 1
Rashmanlou H 2
Mofidnakhaei F 3

1 Department of Science and Humanities, Dr. Mahalingam College of Engineering and Technology, Pollachi, India.

2 School of Physics- Damghan University- Damghan- Iran.

3 Department of Physics- Sar.C.,- Islamic Azad University- Sari- Iran

https://doi.org/10.30511/mcs.2026.2082120.1685
Abstract
This paper establishes a rigorous spectral framework for \emph{intuitionistic fuzzy graphs} (IFGs) through eigenvalue and matrix analysis.
Spectral decomposability, real spectrum, and trace–degree relations are derived for the adjacency operators.
Laplacian matrices are proven positive semi-definite using quadratic forms.
A Perron–Frobenius theorem ensures unique dominant positive eigenpairs for both \(A_\mu\) and \(A_\nu\).
The study unifies spectral radius, Rayleigh quotient, and convergence concepts in the IFG setting.

Keywords

Intuitionistic fuzzy graph
Spectral theory
Eigenvalues
Laplacian matrix
Perron Frobenius theorem
Subjects
Mathematics and Computational Sciences

Articles in Press, Accepted Manuscript
Available Online from 16 October 2026

  • Receive Date 27 December 2025
  • Revise Date 11 August 2026
  • Accept Date 11 August 2026

Home

Submit Manuscript

Reviewers

Contact Us