Quantum Approach for Vertex Separator Problem in Directed Graphs
Abstract
The Vertex Separator Problem of a directed graph consists in finding all combinations of vertices which can disconnect the source and the terminal of the graph, these combinations are minimal if they contain only the minimal number of vertices. In this paper, we introduce a new quantum algorithm based on a movement strategy to find these separators in a quantum superposition with linear complexity. Our algorithm has been tested on small directed graphs using a real Quantum Computer made by IBM
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