P. Sagar - Swamy Vivekananda Engineering College, Vizianagaram, AP, India
M. Phani Kishore - Department of Information Technology,Gayatri Vidya Parishad College of Engineering (Autonomous), Madhurawada, Visakhapatnam, Andhra Pradesh, India.

In this paper, we discussed a method to construct a global sheaf space using graphs via Maximal compatibility blocks (MCB's) and we proposed the correspondence between graphs and sheaves. Further we discussed the sheaf constructions for various graphs using MCB's and vice-versa. We also presented some graph theoretical examples for the construction of sheaves.

Sheaf representation, maximal compatibility blocks, graphs