Percolation establishes the connectivity of complex networks and is one of the most fundamental critical phenomena for the study of complex systems. On simple networks, percolation displays a ...

Abstract: We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that nodes with larger degrees ...

Abstract: We introduce a new family of directed, multi-state bootstrap percolation models that naturally occur as the “convolution” of classical bootstrap percolation models as well as generalized ...

We discuss the ramifications of noisy and incomplete observations of network data on the existence of a giant connected component (GCC). The existence of a GCC in a random graph can be described in ...

Researchers are uncovering the hidden laws that reveal how the Internet grows, how viruses spread, and how financial bubbles burst. Last week, United Airlines grounded nearly 5,000 flights when its ...

Last month, United Airlines grounded nearly 5,000 flights when its computer system crashed. The culprit: a faulty network router. Later on the same morning, another computer glitch halted trading on ...

In this paper we establish a strong decoupling inequality for the cylinder’s percolation process introduced by Tykesson and Windisch (Probab. Theory Related Fields 154 (2012) 165–191). This model ...

A percolation process demonstrated by a grid where which user can enter the row and column size for the grid, and numbers and spaces will be generated within the grid randomly, which will ultimately ...

This repository contains a C++ implementation of the Percolation problem with a graphical simulation using the SFML (Simple and Fast Multimedia Library). The Percolation problem is a classic ...