Research and Development of Methods for Visualization of Large Graphs

The goal of this work is developing a method for visualization of large graphs with maximum GPU utilization and developing a software library that implements the developed method. Based on the analysis of existing approaches to solving the problem of vertex placement, a method based on the representation of the graph as a physical system of particles and springs has been proposed. This physical system takes into account the influence of spring forces, repulsion forces, resistance forces, and gravitational forces. For each force, a method of calculation with maximum GPU utilization has been proposed. All steps of simulation and visualization have been implemented using shaders. Each iteration of the algorithm recalculates the acceleration of each vertex and its new position. The software library has been implemented according to the developed method. A number of tests have been carried out. The results suggest the applicability of this method for real-time graph visualization up to 2\ mil. vertices using modern graphics cards, which exceeds the existing alternatives.