A Cryptographic Framework Based on Graph Labeling and Max-Plus Algebra.

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Bibliographic Details
Title:	A Cryptographic Framework Based on Graph Labeling and Max-Plus Algebra.
Authors:	Nurwan, Nurwan¹ nurwan@ung.ac.id, Yahya, Nisky Imansyah² nisky@ung.ac.id, Arsal, Armayani² armayaniarsal@ung.ac.id, Muanalifah, Any² any.muanalifah@walisongo.ac.id
Source:	IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2473-2481. 9p.
Subjects:	Data encryption, Graph theory, Cryptography, Matrix multiplications, Ordered algebraic structures, Data security, Digital communications
Abstract:	This paper develops an encryption system that integrates graph theory with max-plus algebra to enhance data security and decryption reliability. The proposed method transforms plaintext into ciphertext by representing the message as a complete graph, where numerical values derived from an alphabet encoding scheme are used to label the edges. The encryption process applies substitution and permutation techniques based on max-plus algebra to generate complex ciphertext, thereby improving resistance against brute-force and frequency-based attacks. The algorithm follows a structured procedure that begins with numeric encoding, followed by complete graph construction, adjacency matrix generation, matrix modification, and max-plus algebraic transformation. The decryption process performs the inverse operations to recover the original plaintext accurately. Experimental results indicate that the proposed system achieves a high level of security while maintaining computational efficiency, making it suitable for protecting data in digital communication systems. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	This paper develops an encryption system that integrates graph theory with max-plus algebra to enhance data security and decryption reliability. The proposed method transforms plaintext into ciphertext by representing the message as a complete graph, where numerical values derived from an alphabet encoding scheme are used to label the edges. The encryption process applies substitution and permutation techniques based on max-plus algebra to generate complex ciphertext, thereby improving resistance against brute-force and frequency-based attacks. The algorithm follows a structured procedure that begins with numeric encoding, followed by complete graph construction, adjacency matrix generation, matrix modification, and max-plus algebraic transformation. The decryption process performs the inverse operations to recover the original plaintext accurately. Experimental results indicate that the proposed system achieves a high level of security while maintaining computational efficiency, making it suitable for protecting data in digital communication systems. [ABSTRACT FROM AUTHOR]
ISSN:	19929978