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A multi layered encryption framework using intuitionistic fuzzy graphs and graph theoretic domination for secure

A Meenakshi1, S Dhanushiya1, Leo Mrsic2,3

  • 1Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamilnadu, India.

Scientific Reports
|July 2, 2025
PubMed
Summary

This study introduces a novel intuitionistic fuzzy graph encryption technique to enhance secure communication. The method offers superior security and efficiency compared to existing encryption algorithms for sensitive data protection.

Keywords:
α−strong vertexβ−strong vertexγ–strong vertexDomination numberGraph networkVertex order coloring

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Area of Science:

  • Cryptography
  • Graph Theory
  • Information Security

Background:

  • Secure communication is critical in the digital age.
  • Existing encryption methods require continuous improvement for robust data protection.

Purpose of the Study:

  • To develop a new cryptographic encryption technique using intuitionistic fuzzy graphs.
  • To enhance the security and complexity of encrypted communications.

Main Methods:

  • Utilizing graph-theoretic measures: domination number, vertex categorization (alpha-strong, beta-strong, gamma-strong), vertex order coloring, and chromatic number.
  • Applying these measures to create multiple encryption layers for enhanced security.

Main Results:

  • The proposed intuitionistic fuzzy graph approach demonstrates superior security, computational efficiency, and attack resilience compared to RSA, AES, ECC, and Blowfish.
  • Key graph measures identify critical network vertices and enable multi-layered encryption.

Conclusions:

  • The novel technique provides a highly secure and versatile solution for protecting sensitive data.
  • Applicable to banking PINs, military codes, government IDs, cryptographic keys, and medical records.
  • Ensures safe transfer and efficient encoding through a complex, multi-step encryption framework.