The Bitcoin Lightning Network (LN) disrupts the scenario as a fast and scalable method to make payment transactions off-chain, alongside the Bitcoin network, thereby reducing the on-chain burden. Understanding the topology of the LN is crucial, not only because it is key to performance, but also for ensuring its security and privacy guarantees. The topology of the LN affects, among others, the ability to successfully route payments between nodes, its resilience (against both attacks and random failures), and the privacy of payments.