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We consider the online vector packing problem in which we have a $d$ dimensional knapsack and items $u$ with weight vectors $\mathbf{w}_u \in \mathbb{R}_+^d$ arrive online in an arbitrary order. Upon the arrival of an item, the algorithm…

Discrete Mathematics · Computer Science 2017-06-22 T-H. Hubert Chan , Shaofeng H. -C. Jiang , Zhihao Gavin Tang , Xiaowei Wu

In Network games under cooperative framework, the position value is a link based allocation rule. It is obtained from the Shapley value of an associated cooperative game where the links of the network are considered players. The Shapley…

Theoretical Economics · Economics 2023-08-08 Niharika Kakoty , Surajit Borkotokey , Rajnish Kumar , Abhijit Bora

We consider load balancing in a network of caching servers delivering contents to end users. Randomized load balancing via the so-called power of two choices is a well-known approach in parallel and distributed systems. In this framework,…

Information Theory · Computer Science 2017-07-03 Mahdi Jafari Siavoshani , Ali Pourmiri , Seyed Pooya Shariatpanahi

Online knapsack problem is considered, where items arrive in a sequential fashion that have two attributes; value and weight. Each arriving item has to be accepted or rejected on its arrival irrevocably. The objective is to maximize the sum…

Data Structures and Algorithms · Computer Science 2017-11-30 Rahul Vaze

Payment channel networks (PCNs) are a promising technology that alleviates blockchain scalability by shifting the transaction load from the blockchain to the PCN. Nevertheless, the network topology has to be carefully designed to maximise…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-21 Krishnendu Chatterjee , Jan Matyáš Křišťan , Stefan Schmid , Jakub Svoboda , Michelle Yeo

We examine the effectiveness of packet routing in this model for the broad class next-hop preferences with filtering. Here each node v has a filtering list D(v) consisting of nodes it does not want its packets to route through. Acceptable…

Data Structures and Algorithms · Computer Science 2013-01-17 Bundit Laekhanukit , Adrian Vetta , Gordon Wilfong

We are proposing two greedy and a new linear programming based approximation algorithm for the total positive influence dominating set problem in weighted networks. Applications of this problem in weighted settings include finding: a…

Optimization and Control · Mathematics 2019-10-11 Danica Vukadinović Greetham , Nathaniel Charlton , Anush Poghosyan

The prediction of both the existence and weight of network links at future time points is essential as complex networks evolve over time. Traditional methods, such as vector autoregression and factor models, have been applied to small,…

General Economics · Economics 2024-10-15 Shu Takahashi , Kento Yamamoto , Shumpei Kobayashi , Ryoma Kondo , Ryohei Hisano

Link prediction is one of the fundamental problems in social network analysis. A common set of techniques for link prediction rely on similarity metrics which use the topology of the observed subnetwork to quantify the likelihood of…

Artificial Intelligence · Computer Science 2019-09-05 Kai Zhou , Tomasz P. Michalak , Yevgeniy Vorobeychik

We study the weighted token swapping problem, in which we are given a graph on $n$ vertices, $n$ weighted tokens, an initial assignment of one token to each vertex, and a final assignment of one token to each vertex. The goal is to find a…

Data Structures and Algorithms · Computer Science 2025-08-01 Nicole Wein , Guanyu Tony Zhang

Virtual networks are an innovative abstraction that extends cloud computing concepts to the network: by supporting bandwidth reservations between compute nodes (e.g., virtual machines), virtual networks can provide a predictable performance…

Computational Complexity · Computer Science 2023-11-10 Sergey Pankratov , Vitaly Aksenov , Stefan Schmid

The current framework of network utility maximization for distributed rate allocation assumes fixed channel code rates. However, by adapting the physical layer channel coding, different rate-reliability tradeoffs can be achieved on each…

Networking and Internet Architecture · Computer Science 2007-05-23 Jang-Won Lee , Mung Chiang , A. Robert Calderbank

Motivated by bursty bandwidth allocation and by the allocation of virtual machines to servers in the cloud, we consider the online problem of packing items with random sizes into unit-capacity bins. Items arrive sequentially, but upon…

Optimization and Control · Mathematics 2021-02-08 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

We study a weighted online bipartite matching problem: $G(V_1, V_2, E)$ is a weighted bipartite graph where $V_1$ is known beforehand and the vertices of $V_2$ arrive online. The goal is to match vertices of $V_2$ as they arrive to vertices…

Data Structures and Algorithms · Computer Science 2014-09-09 Moses Charikar , Monika Henzinger , Huy L. Nguyen

Payment channel networks (PCNs) are a promising solution to the scalability problem of cryptocurrencies. Any two users connected by a payment channel in the network can theoretically send an unbounded number of instant, costless…

Computer Science and Game Theory · Computer Science 2023-06-29 Zeta Avarikioti , Tomasz Lizurej , Tomasz Michalak , Michelle Yeo

We study the following vertex-weighted online bipartite matching problem: $G(U, V, E)$ is a bipartite graph. The vertices in $U$ have weights and are known ahead of time, while the vertices in $V$ arrive online in an arbitrary order and…

Data Structures and Algorithms · Computer Science 2010-07-09 Gagan Aggarwal , Gagan Goel , Chinmay Karande , Aranyak Mehta

Many algorithms have been proposed to predict missing links in a variety of real networks. These studies focus on mainly both accuracy and efficiency of these algorithms. However, little attention is paid to their robustness against either…

Physics and Society · Physics 2013-02-26 Liang Wang , Ke Hu , Yi Tang

Link prediction aims to uncover missing links or predict the emergence of future relationships according to the current networks structure. Plenty of algorithms have been developed for link prediction in unweighted networks, with only a…

Social and Information Networks · Computer Science 2015-09-22 Jing Zhao , Lili Miao , Haiyang Fang , Qian-Ming Zhang , Min Nie , Tao Zhou

We consider two capacity problems in P2P networks. In the first one, the nodes have an infinite amount of data to send and the goal is to optimally allocate their uplink bandwidths such that the demands of every peer in terms of receiving…

Data Structures and Algorithms · Computer Science 2009-09-18 Jacob Chakareski , Pascal Frossard , Hervé Kerivin , Jimmy Leblet , Gwendal Simon

We study the game-theoretic task of selecting mobile agents to deliver multiple items on a network. An instance is given by $m$ messages (physical objects) which have to be transported between specified source-target pairs in a weighted…

Computer Science and Game Theory · Computer Science 2019-04-17 Andreas Bärtschi , Daniel Graf , Paolo Penna
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