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Graph Automorphic Approaches To The Robustness Of Complex Networks, Hossein Parastvand, Airlie Chapman, Octavian Bass, Stefan Lachowicz
Graph Automorphic Approaches To The Robustness Of Complex Networks, Hossein Parastvand, Airlie Chapman, Octavian Bass, Stefan Lachowicz
Research outputs 2014 to 2021
© 2020 Elsevier Ltd Leveraging on graph automorphic properties of complex networks (CNs), this study investigates three robustness aspects of CNs including the robustness of controllability, disturbance decoupling, and fault tolerance against failure in a network element. All these aspects are investigated using a quantified notion of graph symmetry, namely the automorphism group, which has been found implications for the network controllability during the last few years. The typical size of automorphism group is very big. The study raises a computational issue related to determining the whole set of automorphism group and proposes an alternative approach which can attain the …