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In this research, we examine the minsum flow problem in dynamic path networks where flows are represented as discrete and weighted sets. The minsum flow problem has been widely studied for its relevance in finding evacuation routes during…

Data Structures and Algorithms · Computer Science 2024-07-03 Bubai Manna , Bodhayan Roy , Vorapong Suppakitpaisarn

Offchain networks emerge as a promising solution to address the scalability challenge of blockchain. Participants directly make payments through a network of payment channels without the overhead of committing onchain transactions. Routing…

Networking and Internet Architecture · Computer Science 2019-06-12 Peng Wang , Hong Xu , Xin Jin , Tao Wang

For $n$-vertex $m$-edge graphs with integer polynomially-bounded costs and capacities, we provide a randomized parallel algorithm for the minimum cost flow problem with $\tilde O(m+n^ {1.5})$ work and $\tilde O(\sqrt{n})$ depth. On…

Data Structures and Algorithms · Computer Science 2025-03-18 Jan van den Brand , Hossein Gholizadeh , Yonggang Jiang , Tijn de Vos

Payment channels effectively move the transaction load off-chain thereby successfully addressing the inherent scalability problem most cryptocurrencies face. A major drawback of payment channels is the need to ``top up'' funds on-chain when…

Cryptography and Security · Computer Science 2021-10-19 Zeta Avarikioti , Krzysztof Pietrzak , Iosif Salem , Stefan Schmid , Samarth Tiwari , Michelle Yeo

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

Optimization and Control · Mathematics 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

In this paper, we study the problem of optimal multi-robot path planning (MPP) on graphs. We propose two multiflow based integer linear programming (ILP) models that computes minimum last arrival time and minimum total distance solutions…

Robotics · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

This work considers the problem of transmitting multiple compressible sources over a network at minimum cost. The aim is to find the optimal rates at which the sources should be compressed and the network flows using which they should be…

Information Theory · Computer Science 2009-08-13 Aditya Ramamoorthy

In this paper, we analyze a round-based pricing scheme that encourages favorable behavior from users of real-time P2P applications like P2PTV. In the design of pricing schemes, we consider price to be a function of usage and capacity of…

Networking and Internet Architecture · Computer Science 2009-11-10 Gitanjali Bhutani

We present an $O(nm)$ algorithm for all-pairs shortest paths computations in a directed graph with $n$ nodes, $m$ arcs, and nonnegative integer arc costs. This matches the complexity bound attained by Thorup \cite{Thorup1999} for the…

Data Structures and Algorithms · Computer Science 2022-12-02 James B. Orlin , László A. Végh

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

Blockchain-based cryptocurrencies received a lot of attention recently for their applications in many domains. IoT domain is one of such applications, which can utilize cryptocur-rencies for micro payments without compromising their payment…

Cryptography and Security · Computer Science 2020-12-15 Suat Mercan , Enes Erdin , Kemal Akkaya

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

We consider the problem of maximizing the revenue raised from tolls set on the arcs of a transportation network, under the constraint that users are assigned to toll-compatible shortest paths. We first prove that this problem is strongly…

Computer Science and Game Theory · Computer Science 2017-07-24 S. Roch , P. Marcotte , G. Savard

This paper considers max-min fair rate allocation and routing in energy harvesting networks where fairness is required among both the nodes and the time slots. Unlike most previous work on fairness, we focus on multihop topologies and…

Networking and Internet Architecture · Computer Science 2016-06-10 Jelena Marasevic , Cliff Stein , Gil Zussman

Bitcoin has emerged as a revolutionary payment system with its decentralized ledger concept; however it has significant problems such as high transaction fees and low throughput. Lightning Network (LN), which was introduced much later,…

Cryptography and Security · Computer Science 2023-07-21 Ahmet Kurt , Kemal Akkaya , Sabri Yilmaz , Suat Mercan , Omer Shlomovits , Enes Erdin

Payment channel is a class of techniques designed to solve the scalability problem of blockchain. By establishing channels off the blockchain to form payment channel networks (PCNs), users can make instant payments without interacting with…

Networking and Internet Architecture · Computer Science 2022-10-14 Wenhui Wang , Ke Mu , Xuetao Wei

As a promising implementation model of payment channel network (PCN), payment channel hub (PCH) could achieve high throughput by providing stable off-chain transactions through powerful hubs. However, existing PCH schemes assume hubs…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-01 Lingxiao Yang , Xuewen Dong , Sheng Gao , Qiang Qu , Xiaodong Zhang , Wensheng Tian , Yulong Shen

We propose a protocol optimization technique that is applicable to both weighted or unweighted graphs. Our aim is to explore by how much a small variation around the Shortest Path or Optimal Path protocols can enhance protocol performance.…

Physics and Society · Physics 2015-05-19 Jose J. Ramasco , Marta S. de la Lama , Eduardo Lopez , Stefan Boettcher

The shortest secure path (routing) problem in communication networks has to deal with multiple attack layers e.g., man-in-the-middle, eavesdropping, packet injection, packet insertion, etc. Consider different probabilities for each such…

Data Structures and Algorithms · Computer Science 2021-04-07 Yefim Dinitz , Shlomi Dolev , Manish Kumar

The Lightning Network (LN) has enjoyed rapid growth over recent years, and has become the most popular scaling solution for the Bitcoin blockchain. The security of the LN relies on the ability of the nodes to close a channel by settling…

Cryptography and Security · Computer Science 2024-03-21 Cosimo Sguanci , Anastasios Sidiropoulos
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