Inter-Sectoral Linkages in the Economy of Uttar-Pradesh: A Graph Theoretic Approach

Abstract

The purpose of present paper is to analyse the structural properties of the economy of Uttar-Pradesh (U.P.), India using Input-Output approach. This state is a geographically large state having highest state wise population in India. In this paper we explore the possibility of analyzing inter-sectoral through Graph Theory approach. We are using a revised disaggregated (64x64) input-output matrix for the U.P. The inter sectoral linkages derived from 64x64 I-O matrix directed graphs were constructed which shows the flows between linked sectors in the state economy. An adjacency matrix is derived from I-O matrix. Each sector in this matrix is represented as a node (vertex) in the directed graph. The flow of goods or services from sector i to sector j is indicated by and arc (edge) joining the two nodes in the direction i → j. The inter-sectoral dependency within the group implies that it would be difficult to develop a single sector of the group in isolation. The group as a whole should be developed in order to have maximum gains from the technological links of the sectors in the context of overall regional development.