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Abstract : When stratified sampling is used then the population has the capacity to be grouped on the basis of certain characteristics. Generally in survey sampling the respondents are individual persons and they are physically unlinked. Consider a situation of graphical structure where nodes and edges are the main constituents and if somebody wants to estimate the average length of edges between two nodes then it is a problem under usual sampling setup. This paper assumes the planner graph situation in each strata and attempt has been made to estimate the average edge length between any two nodes of planner graph based stratified population. A node sampling procedure is developed for drawing a sample using matrices. An estimator has been suggested for estimating the mean edge length parameter. It is found that the suggested methodology has optimal properties and found efficient also