Telegram is a cloud-based instant messenger and available for both mobile (android, iphone, Windows Phone, Ubuntu Touch) and laptop (Windows, OS X (Macintosh Operating System), Linux) customer. They offer secret chat of end-to-end encryption (E2E encryption) to hide our personal conversation. The purpose of this paper to make secret chat through ludo and RC cipher with fuzzy modulo sum and different.

The aim of this paper is to generalize Landau-type Tauberian theorem for bicomplex variables. Our results generalize and improve various known versions of the Ikehara theorem. Also boundedness result for Ikehara’s theorem is introduced. The goal of this article is to considerably improve various complex Tauberian theorems for Laplace transforms and power series.

Graph theory plays a major role in coding theory, circuit designs and communication networks. The concept of fuzzy set and fuzzy relations incorporated in graph theory leads to fuzzy graphs. Defining the functions σ and µ of a fuzzy graph and finding the admissibility of fuzziness in the crisp graph is the notion of this paper. The major highlight of the paper is identifying fuzzy graphs in crisp graphs like cycles, complete graphs, Peterson graphs, binary trees etc. that admits ratio labelling. Ratio labelling admits fuzziness when there exist a strong relation between vertices and edges. Regular graphs behaves more positively towards ratio labelling. We examined fuzziness in social network media using ratio labelling which ensures the bond lying between the group members. In the line of thought, there is a scope on topological symmetric interconnection networks.