Abstract
Preceding years predict Internet of Things (IoT) to be trend in technology domain as it possesses superior intelligence and methods to access data as well able to construct networks anywhere which we are witnessing today. Today IoT devices are well implemented and are a topic and product of interest for many. In midst of this Social Internet of Things (S - IoT ) emerged which is understood as the added ingredient in IoT networks enables improvement in accessing data, its procession, real time decisions and many more new functions and all of this with ideal price [1]. Social Internet of Things (S - IoT ) led to the interesting development of enabling Internet of things to be socially connected in network with each other which permits them to socially interact with each other and have their respective profiles for their identification all similar to humans. This magical innovation led internet networks to be more complicated. In this paper we are modelling objects of (S- IoT ) centered homes as network graphs with medium domination number approach. The key notion here is to inspect the total number of objects connected that dominate every pair of objects in a network graph and average value of this is defined as "the medium domination number". We evaluated new results and relations along with further vulnerability methods and developed an algorithm of complexity O(n2).