Abstract
Cryptography is the branch of Discrete Mathematics which deals with the transmission of secret communications between intended parties without the knowledge of third party. Graph theory is the enchanting field if Mathematics that designate integers to edges and vertices through some established functions. In current scenario security of communication plays a crucial role in any telecommunication or network applications. In this paper we have proposed an efficient cryptosystem using play fair cipher together with graph labeling to safeguard our secret text from unauthorised persons. Here we employ the substitution cipher namely Play fair cipher for plaintext encryption and ourencrypted text in the form of Cipher Graph is forwarded to the receiver which on application of graph labeling yields our plaintext. Thus a fusion of the techniques Cryptography with Graph labeling provides ultimate security for secure transmission of data or information at various levels.
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