Innovative Concept of the Strict Line Hypergraph as the Basis for Specifying the Duality Relation Between the Vertex Separators and Cuts

Method of Graph Mining based on the Topological Anomaly Matrix and its Application for Discovering the Structural Peculiarities of Complex Networks

“…The distinctive feature characterizing the upcoming fourth wave of the industrial revolution lies in the rapid expansion, complication, and integration of the complex networks serving the needs of humanity and world economy [1,2]. While enabling the development of the more efficient business processes leading to the increase in the produced outcome and quality of service, such tendency makes the entire society extremely vulnerable to the disruptions of the most critical infrastructural networks [3,4]. Meanwhile, the functionality and reliability of any complex network heavily relies on its topology inspiring the emergent properties that could not be deduced from the separate network's entities and arise only in result of their interaction [5,6].…”