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The maximum capacity path problem is to find a path from a source to a sink which has the maximum capacity among all paths. This paper addresses an extension of this problem which considers loss factors. It is called the generalized maximum…

Discrete Mathematics · Computer Science 2023-12-12 Adrian Marius Deaconu , Javad Tayyebi , Mihai-Lucian Rîtan

Characterizing the capacity region of multi-source wireless relay networks is one of the fundamental issues in network information theory. The problem is, however, quite challenging due to inter-user interference when there exist multiple…

Information Theory · Computer Science 2013-10-29 Sang-Woon Jeon , Sae-Young Chung

The rate of a network code is the ratio of the block size of the network's messages to that of its edge codewords. We compare the linear capacities and achievable rate regions of networks using finite field alphabets to the more general…

Information Theory · Computer Science 2018-01-31 Joseph Connelly , Kenneth Zeger

In contrast to traditional flow networks, in additive flow networks, to every edge e is assigned a gain factor g(e) which represents the loss or gain of the flow while using edge e. Hence, if a flow f(e) enters the edge e and f(e) is less…

Computational Complexity · Computer Science 2016-03-31 Saber Mirzaei , Assaf Kfoury

This work addresses the problem of evaluating optimal link capacities of a packet-flow network for the objective of congestion minimization. We present a simple model of packet flow in networks and present a numerical approach to evaluate…

Networking and Internet Architecture · Computer Science 2020-02-10 Saptarshi Pal , Ayan Chatterjee , Dripto Bakshi , Amitava Mukherjee

The Multi-Capacity Fixed-Charge Network Flow (MC-FCNF) problem, a generalization of the Fixed-Charge Network Flow problem, aims to assign capacities to edges in a flow network such that a target amount of flow can be hosted at minimum cost.…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Caleb Eardley , Dalton Gomez , Ryan Dupuis , Michael Papadopoulos , Sean Yaw

The Fixed-Charge Network Flow problem is a well-studied NP-hard problem that has the goal of finding a flow in a network where fixed edge costs are incurred, regardless of the amount of flow hosted by the edge. In this paper, we consider…

Data Structures and Algorithms · Computer Science 2024-07-30 Daniel Olson , Caleb Eardley , Sean Yaw

This paper studies edge caching in fog computing networks, where a capacity-aware edge caching framework is proposed by considering both the limited fog cache capacity and the connectivity capacity of base stations (BSs). By allowing…

Networking and Internet Architecture · Computer Science 2020-02-07 Qiang Li , Yuanmei Zhang , Yingyu Li , Yong Xiao , Xiaohu Ge

One of the main theoretical motivations for the emerging area of network coding is the achievability of the max-flow/min-cut rate for single source multicast. This can exceed the rate achievable with routing alone, and is achievable with…

Information Theory · Computer Science 2008-02-04 Terence Chan , Alex Grant

The maximum achievable capacity from source to destination in a network is limited by the min-cut max-flow bound; this serves as a converse limit. In practice, link capacities often fluctuate due to dynamic network conditions. In this work,…

Information Theory · Computer Science 2025-07-22 Rivka Gitik , Alejandro Cohen

We consider the capacity problem for wireless networks. Networks are modeled as random unit-disk graphs, and the capacity problem is formulated as one of finding the maximum value of a multicommodity flow. In this paper, we develop a proof…

Information Theory · Computer Science 2007-07-13 Christina Peraki , Sergio D. Servetto

We consider the problem of error control in a coded, multicast network, focusing on the scenario where the errors can occur only on a proper subset of the network edges. We model this problem via an adversarial noise, presenting a formal…

Information Theory · Computer Science 2022-05-31 Allison Beemer , Altan Berdan Kilic , Alberto Ravagnani

Dynamic network flows, sometimes called flows over time, extend the notion of network flows to include a transit time for each edge. While Ford and Fulkerson showed that certain dynamic flow problems can be solved via a reduction to static…

Discrete Mathematics · Computer Science 2023-02-16 Thomas Bläsius , Adrian Feilhauer , Jannik Westenfelder

A function computation problem in directed acyclic networks has been considered in the literature, where a sink node wants to compute a target function with the inputs generated at multiple source nodes. The network links are error-free but…

Information Theory · Computer Science 2017-03-29 Cupjin Huang , Zihan Tan , Shenghao Yang , Xuan Guang

Existing research on task incremental learning in continual learning has primarily focused on preventing catastrophic forgetting (CF). Although several techniques have achieved learning with no CF, they attain it by letting each task…

Machine Learning · Computer Science 2023-06-27 Tatsuya Konishi , Mori Kurokawa , Chihiro Ono , Zixuan Ke , Gyuhak Kim , Bing Liu

The problem of network function computation over a directed acyclic network is investigated in this paper. In such a network, a sink node desires to compute with zero error a {\em target function}, of which the inputs are generated at…

Information Theory · Computer Science 2017-10-09 Xuan Guang , Raymond W. Yeung , Shenghao Yang , Congduan Li

This paper investigates the problem of single-source multicasting over a communication network in the presence of restricted adversaries. When the adversary is constrained to operate only on a prescribed subset of edges, classical cut-set…

Information Theory · Computer Science 2026-03-10 Christopher Hojny , Altan B. Kılıç , Sascha Kurz , Alberto Ravagnani

We consider the robust version of a multi-commodity network flow problem. The robustness is defined with respect to the deletion, or failure, of edges. While the flow problem itself is a polynomially-sized linear program, its robust version…

Optimization and Control · Mathematics 2025-04-25 Artyom Klyuchikov , Roland Hildebrand , Sergei Protasov , Alexander Rogozin , Alexei Chernov

In this paper, we are concerned with the resilience of locally routed network flows with finite link capacities. In this setting, an external inflow is injected to the so-called origin nodes. The total inflow arriving at each node is routed…

Systems and Control · Computer Science 2016-08-16 A. Yasin Yazicioglu , Mardavij Roozbehani , Munther A. Dahleh

Most Internet traffic is carried by capacity-seeking protocols such as TCP and QUIC. Capacity-seeking protocols probe to find the maximum available throughput from sender to receiver, and, once they converge, attempt to keep sending traffic…

Networking and Internet Architecture · Computer Science 2022-11-15 Bjørn Ivar Teigen , Neil Davies , Kai Olav Ellefsen , Tor Skeie , Carlo Augusto Grazia , Jim Torresen
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