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Payment channel networks are an approach to improve the scalability of blockchain-based cryptocurrencies. The Lightning Network is a payment channel network built for Bitcoin that is already used in practice. Because the Lightning Network…

Cryptography and Security · Computer Science 2025-05-22 Matthias Grundmann , Hannes Hartenstein

The Bitcoin Lightning Network (BLN), a so-called "second layer" payment protocol, was launched in 2018 to scale up the number of transactions between Bitcoin owners. In this paper, we analyse the structure of the BLN over a period of 18…

Physics and Society · Physics 2020-09-08 Jian-Hong Lin , Kevin Primicerio , Tiziano Squartini , Christian Decker , Claudio J. Tessone

Off-chain transaction networks can mitigate the scalability issues of today's trustless electronic cash systems such as Bitcoin. However, these peer-to-peer networks also introduce a new attack surface which is not well-understood today.…

Cryptography and Security · Computer Science 2019-09-17 Saar Tochner , Stefan Schmid , Aviv Zohar

The Bitcoin Lightning Network is a Layer 2 payment protocol that addresses Bitcoin's scalability by facilitating quick and cost effective transactions through payment channels. This research explores the feasibility of using machine…

Machine Learning · Computer Science 2025-10-24 Vincent Davis , Emanuele Rossi , Vikash Singh

Micropayment channels are the most prominent solution to the limitation on transaction throughput in current blockchain systems. However, in practice channels are risky because participants have to be online constantly to avoid fraud, and…

Cryptography and Security · Computer Science 2018-12-03 Georgia Avarikioti , Felix Laufenberg , Jakub Sliwinski , Yuyi Wang , Roger Wattenhofer

We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when the robustness of a node depends on its degree or in an…

Disordered Systems and Neural Networks · Physics 2009-11-11 Lazaros K. Gallos , Reuven Cohen , Panos Argyrakis , Armin Bunde , Shlomo Havlin

The Bitcoin Lightning Network, launched in 2018, serves as a layer 2 scaling solution for Bitcoin. The Lightning Network allows users to establish channels between each other and subsequently exchange off-chain payments. Together, these…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-25 Florian Grötschla , Lioba Heimbach , Severin Richner , Roger Wattenhofer

The Lightning Network (LN) is a second-layer protocol for Bitcoin designed to enable fast and cost-efficient off-chain transactions. Channels in the LN can be closed either by mutual agreement or unilaterally through a forced closure, which…

Machine Learning · Computer Science 2026-05-14 Simone Antonelli , Vincent Davis , Harrison Rush , Anthony Potdevin , Jesse Shrader , Vikash Singh , Emanuele Rossi

The Bitcoin Lightning Network (LN) is designed to improve the scalability of blockchain systems by using off-chain payment paths to settle transactions in a faster, cheaper, and more private manner. This work aims to empirically study LN's…

Computer Science and Game Theory · Computer Science 2023-12-29 Andrea Carotti , Cosimo Sguanci , Anastasios Sidiropoulos

Off-chain transaction channels represent one of the leading techniques to scale the transaction throughput in cryptocurrencies. However, the economic effect of transaction channels on the system has not been explored much until now. We…

Cryptography and Security · Computer Science 2022-07-15 Simina Brânzei , Erel Segal-Halevi , Aviv Zohar

Payment channel networks (PCN) enable scalable blockchain transactions without fundamentally changing the underlying distributed ledger algorithm. However, routing a payment via multiple channels in a PCN requires locking collateral for…

Cryptography and Security · Computer Science 2021-09-09 Ben Weintraub , Cristina Nita-Rotaru , Stefanie Roos

As Lightning network payments are neither broadcasted nor publicly stored. Thus LN has been seen not only as scalability but also as privacy solution for Bitcoin. The protocol guarantees that only the latest channel state can be confirmed…

Cryptography and Security · Computer Science 2020-04-02 Sergei Tikhomirov , Rene Pickhardt , Alex Biryukov , Mariusz Nowostawski

Payment channel networks (PCNs) are a promising technology to improve the scalability of cryptocurrencies. PCNs, however, face the challenge that the frequent usage of certain routes may deplete channels in one direction, and hence prevent…

Data Structures and Algorithms · Computer Science 2022-09-27 Mahsa Bastankhah , Krishnendu Chatterjee , Mohammad Ali Maddah-Ali , Stefan Schmid , Jakub Svoboda , Michelle Yeo

The Bitcoin Lightning Network is a layer 2 protocol designed to facilitate fast and inexpensive Bitcoin transactions. It operates by establishing channels between users, where Bitcoin is locked and transactions are conducted off-chain until…

Cryptography and Security · Computer Science 2024-07-12 Rainer Feichtinger , Florian Grötschla , Lioba Heimbach , Roger Wattenhofer

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

Social and Information Networks · Computer Science 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

Today, payment paths in Bitcoin's Lightning Network are found by searching for shortest paths on the fee graph. We enhance this approach in two dimensions. Firstly, we take into account the probability of a payment actually being possible…

Networking and Internet Architecture · Computer Science 2021-07-13 Rene Pickhardt , Stefan Richter

Cryptocurrency off-chain networks such as Lightning (e.g., Bitcoin) or Raiden (e.g., Ethereum) aim to increase the scalability of traditional on-chain transactions. To support nodes in learning about possible paths to route their…

Cryptography and Security · Computer Science 2020-03-03 Utz Nisslmueller , Klaus-Tycho Foerster , Stefan Schmid , Christian Decker

While being decentralized, secure, and reliable, Bitcoin and many other blockchain-based cryptocurrencies suffer from scalability issues. One of the promising proposals to address this problem is off-chain payment channels. Since, not all…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-04 Soheil Zibakhsh Shabgahi , Seyed Mahdi Hosseini , Seyed Pooya Shariatpanahi , Behnam Bahrak

Air travel is one of the most widely used transportation services in the United States. This paper analyzes the U.S. Flight Network (USFN) using complex network theory by exploring how the network's topology contributes to its efficiency…

Physics and Society · Physics 2025-05-20 Sushrit Kafle , Shreejan Pandey

We introduce a family of PCNs (Payment Channel Networks) characterized by a semi-hierarchical topology and a custom set of channel rebalancing strategies. This family exhibits two interesting benefits, if used as a platform for large-scale,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-18 Marco Benedetti , Francesco De Sclavis , Marco Favorito , Giuseppe Galano , Sara Giammusso , Antonio Muci , Matteo Nardelli