Exploring secure communication through artistic graph creation

Creating art through mathematics can provide a unique way to communicate complex ideas, patterns and concepts in an aesthetically pleasing manner. Translating complex data into a visual representation is a valuable way to communicate information effectively. Also, secured communication is a highly challenging task in the contemporary world. There will always be a continuous search for better algorithms to prevent data from breaching. This paper aims to transform each word into unique artistic graphs, facilitating communication through visually appealing representation. A novel algorithmic art approach is introduced to communicate securely. Graph labeling and generalized complement of a graph are used in encryption and decryption. The proposed algorithm uses vertex even mean labeling and k(i)-complement of a graph to convert plaintext into cipher graph and vice versa. This algorithm is a symmetric key algorithm as both encryption and decryption use the same cryptographic key and is applicable for all plaintexts including special characters.