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Throughput is a main performance objective in communication networks. This paper considers a fundamental maximum throughput routing problem -- the all-or-nothing multicommodity flow (ANF) problem -- in arbitrary directed graphs and in the…

Data Structures and Algorithms · Computer Science 2022-07-27 Anya Chaturvedi , Chandra Chekuri , Mengxue Liu , Andréa W. Richa , Mattias Rost , Stefan Schmid , Jamison Weber

In this paper we study the min-cost flow problem in planar networks. We start with the min-cost flow problem and apply two transformations, one is based on geometric duality of planar graphs and the other on linear programming duality. The…

Discrete Mathematics · Computer Science 2013-07-01 Haim Kaplan , Yahav Nussbaum

Among the several topological properties of complex networks, the shortest path represents a particularly important characteristic because of its potential impact not only on other topological properties, but mainly for its influence on…

Social and Information Networks · Computer Science 2020-03-30 Guilherme S. Domingues , Cesar H. Comin , Luciano da F. Costa

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

Social and Information Networks · Computer Science 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang

In the present paper, we apply the network simplex algorithm for solving the minimum cost flow problem, to the maximum flow problem. Then we prove that the cycling phenomenon which causes the infinite loop in the algorithm, does not occur…

Combinatorics · Mathematics 2017-06-15 Sennosuke Watanabe , Hodaka Tanaka , Yoshihide Watanabe

We consider robust shortest path problems, where the aim is to find a path that optimizes the worst-case performance over an uncertainty set containing all relevant scenarios for arc costs. The usual approach for such problems is to assume…

Optimization and Control · Mathematics 2018-02-13 André Chassein , Trivikram Dokka , Marc Goerigk

The on-line shortest path problem is considered under various models of partial monitoring. Given a weighted directed acyclic graph whose edge weights can change in an arbitrary (adversarial) way, a decision maker has to choose in each…

Machine Learning · Computer Science 2007-05-23 Andras Gyorgy , Tamas Linder , Gabor Lugosi , Gyorgy Ottucsak

In this brief, we conduct a complex-network analysis of the Bitcoin transaction network. In particular, we design a new sampling method, namely random walk with flying-back (RWFB), to conduct effective data sampling. We then conduct a…

Social and Information Networks · Computer Science 2022-03-18 Bishenghui Tao , Hong-Ning Dai , Jiajing Wu , Ivan Wang-Hei Ho , Zibin Zheng , Chak Fong Cheang

Cryptocurrencies such as Bitcoin and Ethereum have recently gained a lot of popularity, not only as a digital form of currency but also as an investment vehicle. Online marketplaces and exchanges allow users across the world to convert…

Discrete Mathematics · Computer Science 2018-07-17 Francesco Bortolussi , Zeger Hoogeboom , Frank W. Takes

Physical layer security (PLS) is a potential solution for secure and reliable transmissions in future Ultra-Reliable and Low-Latency Communications (URLLC). This work jointly optimizes redundant bits and blocklength allocation in practical…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Xinyan Le , Yao Zhu , Yulin Hu , Bin Han

Distributed graph algorithms that separately optimize for either the number of rounds used or the total number of messages sent have been studied extensively. However, algorithms simultaneously efficient with respect to both measures have…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-18 Bernhard Haeupler , D. Ellis Hershkowitz , David Wajc

A long series of recent results and breakthroughs have led to faster and better distributed approximation algorithms for single source shortest paths (SSSP) and related problems in the CONGEST model. The runtime of all these algorithms,…

Data Structures and Algorithms · Computer Science 2018-08-09 Bernhard Haeupler , Jason Li

The minimum cost-flow problems have been attracted recently in optimization because of their applications in several areas of applied science and real life. Therefore, finding optima solution of these problems would be significant. Although…

Optimization and Control · Mathematics 2021-01-05 Eghbal Hosseini

Routing, modulation and spectrum allocation in elastic optical networks is a problem aiming at increasing the capacity of the network. Many algorithms such as shortest path algorithm can be used as the routing section of this problem. The…

Networking and Internet Architecture · Computer Science 2019-09-11 Mehdi Tarhani , Sanjib Sarkar , Morad Khosravi Eghbal , Mehdi Shadaram

In distributed storage systems reliability is achieved through redundancy stored at different nodes in the network. Then a data collector can reconstruct source information even though some nodes fail. To maintain reliability, an autonomous…

Information Theory · Computer Science 2013-03-26 Majid Gerami , Ming Xiao , Mikael Skoglund , Kenneth W. Shum , Dengsheng Lin

We extend the well known bottleneck paths problem in two directions for directed unweighted (unit edge cost) graphs with positive real edge capacities. Firstly we narrow the problem domain and compute the bottleneck of the entire network in…

Data Structures and Algorithms · Computer Science 2013-06-26 Tong-Wook Shinn , Tadao Takaoka

We present formalisations of the correctness of executable algorithms to solve minimum-cost flow problems in Isabelle/HOL. Two of the algorithms are based on the technique of scaling, most notably Orlin's algorithm, which has the fastest…

Logic in Computer Science · Computer Science 2026-02-04 Mohammad Abdulaziz , Thomas Ammer

A payment channel network is a blockchain-based overlay mechanism that allows parties to transact more efficiently than directly using the blockchain. These networks are composed of payment channels that carry transactions between pairs of…

Networking and Internet Architecture · Computer Science 2026-03-10 Suryanarayana Sankagiri , Bruce Hajek

A localized method to distribute paths on random graphs is devised, aimed at finding the shortest paths between given source/destination pairs while avoiding path overlaps at nodes. We propose a method based on message-passing techniques to…

Disordered Systems and Neural Networks · Physics 2014-10-17 Caterina De Bacco , Silvio Franz , David Saad , Chi Ho Yeung

Given a network infrastructure (e.g., data-center or on-chip-network) and a distribution on the source-destination requests, the expected path (route) length is an important measure for the performance, efficiency and power consumption of…

Networking and Internet Architecture · Computer Science 2012-07-06 Chen Avin , Michael Borokhovich , Bernhard Haeupler , Zvi Lotker