Percolation on simplicial complexes
作者：
Highlights：
• We develop a framework for investigating the percolation on simplicial complexes with arbitrary dimensions, where higher-order and pairwise interactions coexist.
• We assess the robustness of simplicial complexes and calculate many properties of our model analytically, including the giant components’ sizes and the percolation threshold.
• Novel phenomena named double transition is obtained. We investigate numerically and analytically the critical condition of double transition, a property that has not been thoroughly discussed in previous work.
摘要
•We develop a framework for investigating the percolation on simplicial complexes with arbitrary dimensions, where higher-order and pairwise interactions coexist.•We assess the robustness of simplicial complexes and calculate many properties of our model analytically, including the giant components’ sizes and the percolation threshold.•Novel phenomena named double transition is obtained. We investigate numerically and analytically the critical condition of double transition, a property that has not been thoroughly discussed in previous work.
论文关键词：Simplicial complexes,Higher-order networks,Phase transition
论文评审过程：Received 23 April 2022, Revised 7 June 2022, Accepted 12 June 2022, Available online 20 June 2022, Version of Record 20 June 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127330
