Manoj Kumar Srivastav

Mathematical Modeling of Virtual Relation in Social Networks

Srivastav et al already published a paper where they have established a graph theoretical model to describe social networks. They have shown that it is possible to describe any social networks using simple nodes and edges. In the present work the authors have made further study on mathematical modeling of Social area networks in which it is shown how it is possible to establish the virtual relationship between some nodes of social networking. A social networking system is related to connect the nodes and enlarge (extend) the relationship between two nodes. In the present paper the authors have tried to establish a mathematical relationship between two disconnected nodes of a social networks.

A Comprehensive Study on Complexity of Relationship in Social Networks

The relationship in Social networking between nodes may be continuous or discontinuous after finite interval of time. To maintain a relationship among nodes may be very complex with increasing number of nodes. The authors have made an extensive study to establish different types of relation in Social Networking with respect to time, length (number of edges) and cost. The authors will try to explain about the factors that influences the relationships in social networking.

Mathematical Modeling of Social Networks: A Probabilistic Approach to Explore Relationship in Social Networks

Online Social Networks system is based on the relationship among members of social networks. Communication among nodes influences their relationship. Relationship among nodes may be visible or invisible. The relationship among members of social networks passes through three stages of life cycles which are primary stage, secondary stage and termination Stage. Primary stages are those stages in which the relationship among two or more nodes are established. This relationship may be direct (i.e., one to one or one to many) and indirect (i.e., mutual relation, virtual relation etc.). Secondary stages are those stages in which the communication among nodes (i.e. members of social networks) starts. But there is always uncertainty related to communication among nodes of social networks. There may be chances that communication among nodes with each other may be for gap of short duration, medium duration or long duration. A sender may send a message to different others members of social networks but he may not get certain response on a message. Types of response on a message establishes the different kinds of relationship. In the present paper the authors made a study on probabilistic approach to establish different types of relationship among nodes on the basis of their response and with their activity. The authors also applied co-relation theory to establish different types of relationship like positive, negative, no relationship and perfect relationship.

A New Mathematical Model of Exception Handling in Java Object Oriented Language

Srivastav et al already published several papers where the authors tried to explain the various aspects of object oriented language like Java using some simple mathematical model or functions. The authors have already studied the general properties of Java language such as object, class, inheritance, multithreaded concepts using simple mathematical concepts. In the present paper the authors have tried to explore the concept of exception handling in java language using discontinuity in a function. The exceptions are normally come during runtime and some of the exceptions are repairable and some may not be repairable. In the present paper the authors tried to explain both repairable exception and also irreparable exceptions by considering simple continuity and discontinuity in functions.