A new cryptographic method by means of Molecular graphs
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Encryption and decryption, the two steps of cryptography, mostly emerge from mathematics. Both operations are done by means of several mathematical methods making use of number theory, elliptic curves, affine transformations, modular arithmetic, matrices, functions, etc. Graph theory has been in interaction with Chemistry since 1947 when Wiener used a mathematical formula, later called as Wiener index, to compare the boiling points of some alkane isomers. Since than, many mathematical methods have been used to determine the chemical and physical properties of molecular structures. In this work, a new tech- nique has been proposed to encrypt and decrypt a secret message using a topological index of a selected molecular graph to avoid the interference of adversaries.
Abstract
Encryption and decryption, the two steps of cryptography, mostly emerge from mathematics. Both operations are done by means of several mathematical methods making use of number theory, elliptic curves, affine transformations, modular arithmetic, matrices, functions, etc. Graph theory has been in interaction with Chemistry since 1947 when Wiener used a mathematical formula, later called as Wiener index, to compare the boiling points of some alkane isomers. Since than, many mathematical methods have been used to determine the chemical and physical properties of molecular structures. In this work, a new tech- nique has been proposed to encrypt and decrypt a secret message using a topological index of a selected molecular graph to avoid the interference of adversaries.
참고문헌 (6)
- Bonchev, D, "Chemical Graph Theory, Introduction and Fundamen-tals", pp.1991, Chemistry Series, Abacus Press
- Trinajstic, N, "Chemical Graph Theory" (2019), CRC Press Inc
- Wiener, H, "Structural determination of paraffin boiling points", J. Amer. Chem. Soc., 69, pp.17~20 (1947)
- Babujee, JB, "On Graph Coding", The Mathematics Education, 39(3), pp.138~141 (2005)
- Babujee, JB, "Wiener Index of Graphs using Degree Sequence", Applied Mathematical Sciences, 88(6), pp.4387~4395 (2012)
- Babujee, JB, "Encrypting and Decrypting Number using Labeled Graphs", European Journal of Scientific Research, 75(1), pp.14~24 (2012)