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We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

Data Structures and Algorithms · Computer Science 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

Diversity-multiplexing trade-off has been studied extensively to quantify the benefits of different relaying strategies in terms of error and rate performance. However, even in the case of a single half-duplex relay, which seems fully…

Information Theory · Computer Science 2013-05-16 Ritesh Kolte , Ayfer Özgür

Low-diameter topologies such as Dragonfly and Slim Fly are increasingly adopted in HPC and datacenter networks, yet existing load balancing techniques either rely on proprietary in-network mechanisms or fail to utilize the full path…

Networking and Internet Architecture · Computer Science 2026-02-24 Tommaso Bonato , Ales Kubicek , Abdul Kabbani , Ahmad Ghalayini , Maciej Besta , Torsten Hoefler

We consider single-source single-sink (ss-ss) multi-hop relay networks, with slow-fading links and single-antenna half-duplex relay nodes. In a companion paper, we established some basic results which laid the foundation for the results…

Information Theory · Computer Science 2008-08-05 K. Sreeram , S. Birenjith , P. Vijay Kumar

Community search aims at finding densely connected subgraphs for query vertices in a graph. While this task has been studied widely in the literature, most of the existing works only focus on finding homogeneous communities rather than…

Social and Information Networks · Computer Science 2021-05-21 Zheng Dong , Xin Huang , Guorui Yuan , Hengshu Zhu , Hui Xiong

This paper studies the two-way butterfly network, a class of two-way four-unicast networks. We first show that bidirectional links do not increase the degrees of freedom for this network thus giving the first example for networks, to the…

Information Theory · Computer Science 2017-11-03 Mehdi Ashraphijuo , Vaneet Aggarwal , Xiaodong Wang

The diversity-multiplexing tradeoff of the dynamic decode-and-forward protocol is characterized for the half-duplex three-terminal (m,k,n)-relay channel where the source, relay and the destination terminals have m, k and n antennas,…

Information Theory · Computer Science 2010-08-10 Sanjay Karmakar , Mahesh K. Varanasi

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

The Dragonfly network, with its high-radix and low-diameter structure, is a leading interconnect in high-performance computing. A major challenge is workload interference on shared network links. Parallel discrete event simulation (PDES) is…

Machine Learning · Computer Science 2025-11-17 Xin Wang , Pietro Lodi Rizzini , Sourav Medya , Zhiling Lan

We generalize the theory of k-core percolation on complex networks to k-core percolation on multiplex networks, where k=(k_a, k_b, ...). Multiplex networks can be defined as networks with a set of vertices but different types of edges, a,…

Disordered Systems and Neural Networks · Physics 2014-10-08 N. Azimi-Tafreshi , J. Gomez-Gardenes , S. N. Dorogovtsev

Modeling the dynamics of biological networks introduces many challenges, among them the lack of first principle models, the size of the networks, and difficulties with parameterization. Discrete time Boolean networks and related continuous…

Dynamical Systems · Mathematics 2018-01-22 Peter Crawford-Kahrl , Bree Cummins , Tomas Gedeon

We describe an example of a structurally stable heteroclinic network for which nearby orbits exhibit irregular but sustained switching between the various sub-cycles in the network. The mechanism for switching is the presence of spiralling…

Chaotic Dynamics · Physics 2019-10-03 Vivien Kirk , Emily Lane , Claire M. Postlethwaite , Alastair M. Rucklidge , Mary Silber

Novel low-diameter network topologies such as Slim Fly (SF) offer significant cost and power advantages over the established Fat Tree, Clos, or Dragonfly. To spearhead the adoption of low-diameter networks, we design, implement, deploy, and…

Redundancy and parallelism make decentralized multi-robot systems appealing solutions for the exploration of extreme environments. However, effective cooperation often requires team-wide connectivity and a carefully designed communication…

We study a multi-source Gaussian relay network consisting of $K$ source--destination pairs having $K$ unicast sessions. We assume $M$ layers of relays between the sources and the destinations. We find achievable degrees of freedom of the…

Information Theory · Computer Science 2009-10-20 Sang-Woon Jeon , Sae-Young Chung , Syed A. Jafar

In the next generation network, the satellite network will play a fundamental role, in overcoming the limitation of the terrestrial network. Nonetheless, the satellite-terrestrial network integration presents a number of problems due to the…

Networking and Internet Architecture · Computer Science 2024-11-26 F. Bergamini

In software-defined networking (SDN), as data plane scale expands, scalability and reliability of the control plane have become major concerns. To mitigate such concerns, two kinds of solutions have been proposed separately. One is multi-…

Networking and Internet Architecture · Computer Science 2017-09-07 Xi Huang , Simeng Bian , Ziyu Shao , Hong Xu

System noise can negatively impact the performance of HPC systems, and the interconnection network is one of the main factors contributing to this problem. To mitigate this effect, adaptive routing sends packets on non-minimal paths if they…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-18 Daniele De Sensi , Salvatore Di Girolamo , Torsten Hoefler

Graph Neural Networks (GNNs) conventionally rely on standard Laplacian or adjacency matrices for structural message passing. In this work, we substitute the traditional Laplacian with a Doubly Stochastic graph Matrix (DSM), derived from the…

Machine Learning · Computer Science 2026-04-17 Zhaobo Hu , Vincent Gauthier , Mehdi Naima

Targeted attacks against network infrastructure are notoriously difficult to guard against. In the case of communication networks, such attacks can leave users vulnerable to censorship and surveillance, even when cryptography is used. Much…

Cryptography and Security · Computer Science 2017-04-11 Edward L. Platt , Daniel M. Romero