# Local Articulation Points in Complex Networks

arXiv: https://arxiv.org/abs/1812.10631 · HTML: https://mlsanity.com/paper/1812.10631/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Dec 2018.

## Built on by (most cited first, 1 of 1)

- [When One Point Is Not Enough: Addressing Ambiguous Instances in Dimensionality Reduction by Splitting](https://mlsanity.com/paper/2605.23540/) (2026)

## Abstract (arXiv)

An articulation point (AP) is any node whose removal increases the number of connected components of a graph. There is no doubt that this kind of node which occupies a non-ignorable fraction of real-world networks plays a key role in ensuring the connectivity. However, we should not thus neglect the impacts of non-APs nodes. In this paper, we define a local AP (LAP) whose removal will increase the number of connected components within its r-step neighborhood. Through investigating the fraction of LAPs in forty-five real networks, we find a critical proportion s_cr, which is equal to 0.5 (s=r/D, D is the diameter of a network), and this result can also be turned out in ER networks. In addition, we present a unique advantage of LAPs in dismantling networks under the process of targeted attack, compared with APs, which provide another way of thinking to improve the calculation efficiency of APs and design better-targeted attack strategy of network destruction.