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We prove tight network topology dependent bounds on the round complexity of computing well studied $k$-party functions such as set disjointness and element distinctness. Unlike the usual case in the CONGEST model in distributed computing,…

Computational Complexity · Computer Science 2016-11-02 Arkadev Chattopadhyay , Michael Langberg , Shi Li , Atri Rudra

In the k-Connected Directed Steiner Tree problem (k-DST), we are given a directed graph G=(V, E) with edge (or vertex) costs, a root vertex r, a set of q terminals T, and a connectivity requirement k>0; the goal is to find a minimum-cost…

Data Structures and Algorithms · Computer Science 2019-11-22 Chun-Hsiang Chan , Bundit Laekhanukit , Hao-Ting Wei , Yuhao Zhang

Linear recurrent models offer linear-time sequence processing but often suffer from suboptimal long-range memory. We trace this to the decay spectrum: for $N$ channels, random initialization collapses the minimum spectral gap to…

Machine Learning · Computer Science 2026-04-10 Yang Cao

Peer to peer systems are the networks consisting of a group of nodes possible to be as wide as the Internet. These networks are required of evaluation mechanisms and distributed control and configurations, so each peer will be able to…

Networking and Internet Architecture · Computer Science 2013-03-12 Farshad Safaei , Hamidreza Sotoodeh

The organization of interactions in complex systems can be described by networks connecting different units. These graphs are useful representations of the local and global complexity of the underlying systems. The origin of their…

Physics and Society · Physics 2015-09-30 Luís F Seoane , Ricard Solé

The online (uniform) buy-at-bulk network design problem asks us to design a network, where the edge-costs exhibit economy-of-scale. Previous approaches to this problem used tree- embeddings, giving us randomized algorithms. Moreover, the…

Data Structures and Algorithms · Computer Science 2016-11-02 Anupam Gupta , R. Ravi , Kunal Talwar , Seeun William Umboh

A spanning tree $T$ of graph $G$ is a $\rho$-approximate universal Steiner tree (UST) for root vertex $r$ if, for any subset of vertices $S$ containing $r$, the cost of the minimal subgraph of $T$ connecting $S$ is within a $\rho$ factor of…

Data Structures and Algorithms · Computer Science 2023-08-03 Costas Busch , Da Qi Chen , Arnold Filtser , Daniel Hathcock , D Ellis Hershkowitz , Rajmohan Rajaraman

This paper considers optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network to lie in…

Multiagent Systems · Computer Science 2020-04-22 Roula Nassif , Stefan Vlaski , Ali H. Sayed

We consider the problem of designing sublinear time algorithms for estimating the cost of a minimum metric traveling salesman (TSP) tour. Specifically, given access to a $n \times n$ distance matrix $D$ that specifies pairwise distances…

Data Structures and Algorithms · Computer Science 2020-06-11 Yu Chen , Sampath Kannan , Sanjeev Khanna

We analyze a new general representation for the Minimum Weight Steiner Tree (MST) problem which translates the topological connectivity constraint into a set of local conditions which can be analyzed by the so called cavity equations…

Statistical Mechanics · Physics 2009-01-14 M. Bayati , A. Braunstein , R. Zecchina

We consider minimum-cardinality Manhattan connected sets with arbitrary demands: Given a collection of points $P$ in the plane, together with a subset of pairs of points in $P$ (which we call demands), find a minimum-cardinality superset of…

Data Structures and Algorithms · Computer Science 2020-10-28 Antonios Antoniadis , Margarita Capretto , Parinya Chalermsook , Christoph Damerius , Peter Kling , Lukas Nölke , Nidia Obscura , Joachim Spoerhase

Reconfigurable optical topologies are emerging as a promising technology to improve the efficiency of datacenter networks. This paper considers the problem of scheduling opportunistic links in such reconfigurable datacenters. We study the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-16 Janardhan Kulkarni , Stefan Schmid , Paweł Schmidt

Off-chain transaction channels represent one of the leading techniques to scale the transaction throughput in cryptocurrencies such as Bitcoin. They allow multiple agents to route payments through one another. So far, the topology and…

Computer Science and Game Theory · Computer Science 2020-07-28 Yotam Sali , Aviv Zohar

Systems of networked mobile robots, such as unmanned aerial or ground vehicles, will play important roles in future military and commercial applications. The communications for such systems will typically be over wireless links and may…

Networking and Internet Architecture · Computer Science 2011-09-01 Leenhapat Navaravong , John M. Shea , Eduardo L. Pasiliao , Gregory L. Barnette , Warren E. Dixon

We address a fundamental problem in Peer-to-Peer (P2P) networks, namely, constructing and maintaining dynamic P2P overlay network topologies with essential properties such as connectivity, low diameter, and high expansion, that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-18 Aayush Gupta , Gopal Pandurangan

This paper presents a statistical analysis of the structure of Peer-to-Peer (P2P) social networks that captures social associations of distributed peers in resource sharing. Peer social networks appear to be mainly composed of pure resource…

Physics and Society · Physics 2007-05-23 Fang Wang , Yamir Moreno , Yaoru Sun

The Trinity (Brodsky et al., 2007) spam classification system is based on a distributed hash table that is implemented using a structured peer-to-peer overlay. Such an overlay must be capable of processing hundreds of messages per second,…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-08-14 Alex Brodsky , Scott Lindenberg

Network experiments are essential to network-related scientific research (e.g., congestion control, QoS, network topology design, and traffic engineering). However, (re)configuring various topologies on a real testbed is expensive,…

Networking and Internet Architecture · Computer Science 2023-11-23 Zixuan Chen , Zhigao Zhao , Zijian Li , Jiang Shao , Sen Liu , Yang Xu

Recent proposals in multicast overlay construction have demonstrated the importance of exploiting underlying network topology. However, these topology-aware proposals often rely on incremental and periodic refinements to improve the system…

Networking and Internet Architecture · Computer Science 2016-08-16 Mohamed Ali Dali Kaafar , Thierry Turletti , Walid Dabbous

One fundamental problem in decentralized multi-agent optimization is the trade-off between gradient/sampling complexity and communication complexity. We propose new algorithms whose gradient and sampling complexities are graph topology…

Optimization and Control · Mathematics 2021-01-14 Guanghui Lan , Yuyuan Ouyang , Yi Zhou