In today's interconnected world, safeguarding sensitive information through secure communication is more important than ever. Traditional cryptographic techniques often face challenges in defending against modern, sophisticated attacks. This paper proposes innovative encryption algorithms that combine the power of corona graphs, bipartite graphs, and complete graphs, along with algebraic properties, to enhance data security. The corona graph, formed by attaching copies of one graph to the vertices of another, adds a layer of complexity, while bipartite graphs offer a structured division of vertices into two sets, making the system more resistant to unauthorized access. The use of complete graphs further strengthens the system by ensuring that every pair of vertices is connected, contributing to an intricate and secure encryption framework. By integrating these graph structures, the proposed encryption methods provide a robust, multi-layered approach that offers enhanced protection against both classical and contemporary cryptographic attacks. This novel combination of graph-theoretical concepts paves the way for more secure communication, ensuring the confidentiality and integrity of transmitted data.