4D flow magnetic resonance imaging (MRI) can provide comprehensive information on vessel anatomy and hemodynamics for complex vessel system. Adjacency matrices are often used in computer science to help simplify complex graphs into a binary encoded matrix. The adaptation of adjacency matrices to 4D flow MRI can help reduce the complexity for analysis by structuring the data into an efficient binary matrix. One application of this new analysis method allows for flow conservation to be completed for complex volumes at all junctions. The conservation of flow at every junction can then be used to find segments of potential erroneous measurements.