MPIWDG: A Novel Encryption Scheme to Enhance Security through Moore-Penrose Inverse of the Adjacency matrix of a Weighted Directed Graph

Authors

  • Sarbani Gogoi Department of Applied Sciences, Tezpur University, Assam, India
  • Somnath Paul Department of Applied Sciences, Tezpur University, Assam, India.

DOI:

https://doi.org/10.26713/jims.v18i2.3842

Abstract

Cryptography involves the study and application of methods to ensure secure communication against potential threats. It focuses on developing protocols that protect information from unauthorized access. Modern cryptography spans multiple fields, including mathematics, computer science, and information security. This paper presents an enhanced encryption scheme utilizing graph theory and matrices. Plaintext is mapped to complex numbers, which are assigned as weights to a directed graph and then used to form its adjacency matrix. The Moore-Penrose inverse of this matrix enables secure encryption, while decryption reverses the process to retrieve the original message.

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Published

June 30, 2026

Citations

Issue

Vol. 18 No. 2 (2026)

Section

Research Article

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How to Cite

Gogoi, S., & Paul, S. (2026). MPIWDG: A Novel Encryption Scheme to Enhance Security through Moore-Penrose Inverse of the Adjacency matrix of a Weighted Directed Graph. Journal of Informatics and Mathematical Sciences, 18(2). https://doi.org/10.26713/jims.v18i2.3842