Critical infrastructures are interconnected on multiple levels, and due to their size models with acceptable computational complexity and adequate modeling capacities must be devel...
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n, p) in the critical window, that is, for p = n−1 + λn−4/...
Simulation and verification using electronic design automation (EDA) tools are key steps in the design process for communication and signal processing systems. The synchronous dat...
A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent se...
We prove that the threshold for a random graph to have a k-core is equal to the threshold for having a subgraph which meets a necessary condition of Gallai for being k-critical. 1...