Abstract

Graph theoretical analysis plays a vital role in various fields. In Graph theory, Graph labeling is the major area of application. Graph labeling is the assignment of labels to the vertices and edges of a graph pertaining to certain conditions. Graph theory finds its applications in Coding theory, Radar, Astronomy, Circuit designs, Communication networks, X-ray crystallography, Data base management and a major role in medical field like Brain network, Forensics and Cephalometric analysis. Here we would like to enhance the graph theory applications in the field of Psychology. This paper gives an overview of graph techniques applied in Sociometry using Sociogram. Sociometry is a quantitative method for measuring social relationships and Sociogram is a tool to find Sociometry of a social space. In this article, an analysis in a classroom climate with of a group of 50 college students was done after they were subjected to answer a series of questions probing for affiliations with other classmates. A graphical representation (sociogram) of the social links of each student was constructed by plotting the structure of interpersonal relations in the group. This graphical representation depicts the social relations, channels of influence, attraction towards others, hatred, isolation and lines of communication of the group.