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Answering exact shortest path distance queries is a fundamental task in graph theory. Despite a tremendous amount of research on the subject, there is still no satisfactory solution that can scale to billion-scale complex networks.…

Data Structures and Algorithms · Computer Science 2021-02-18 Muhammad Farhan , Qing Wang , Yu Lin , Brendan Mckay

Many realistic networks are scale-free, with small characteristic path lengths, high clustering, and power law in their degree distribution. They can be obtained by dynamical networks in which a preferential attachment process takes place.…

Physics and Society · Physics 2017-03-13 Francesco Caravelli , Alioscia Hamma , Massimiliano Di Ventra

A great deal of effort has been spent measuring topological features of the Internet. However, it was recently argued that sampling based on taking paths or traceroutes through the network from a small number of sources introduces a…

Disordered Systems and Neural Networks · Physics 2008-04-12 Aaron Clauset , Cristopher Moore

Sparsely gated Mixture-of-Expert (MoE) has demonstrated its effectiveness in scaling up deep neural networks to an extreme scale. Despite that numerous efforts have been made to improve the performance of MoE from the model design or system…

Machine Learning · Computer Science 2023-02-21 Chang Chen , Min Li , Zhihua Wu , Dianhai Yu , Chao Yang

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

Traffic Engineering (TE) leverages information of network traffic to generate a routing scheme optimizing the traffic distribution so as to advance network performance. However, optimize the link weights for OSPF to the offered traffic is…

Networking and Internet Architecture · Computer Science 2010-11-25 Ke Xu , Hongying Liu , Jiangchuan Liu , Meng Shen

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Given an undirected graph G, the edge orientation problem asks for assigning a direction to each edge to convert G into a directed graph. The aim is to minimize the maximum out degree of a vertex in the resulting directed graph. This…

Data Structures and Algorithms · Computer Science 2024-04-23 H. Reinstädtler , C. Schulz , B. Uçar

The topologies of predictable dynamic networks are continuously dynamic in terms of node position, network connectivity and link metric. However, their dynamics are almost predictable compared with the ad-hoc network. The existing routing…

Networking and Internet Architecture · Computer Science 2018-08-20 Zengyin Yang , Qian Wu , Zhize Li , Hewu Li , Jianping Wu

Inter-domain Traffic Engineering for multi-homed networks faces a scalability challenge, as the size of BGP routing table continue to grow. In this context, the choice of the best path must be made potentially for each destination prefix,…

Networking and Internet Architecture · Computer Science 2015-11-30 Wenqin Shao , Luigi Iannone , Jean-Louis Rougier , Francois Devienne , Mateusz Viste

Carrier-grade networks comprise several layers where different protocols coexist. Nowadays, most of these networks have different control planes to manage routing on different layers, leading to a suboptimal use of the network resources and…

Networking and Internet Architecture · Computer Science 2016-11-17 Mohamed Lamine Lamali , Nasreddine Fergani , Johanne Cohen , Hélia Pouyllau

We address the issue of estimating the topology and dynamics of sparse linear dynamic networks in a hyperparameter-free setting. We propose a method to estimate the network dynamics in a computationally efficient and parameter tuning-free…

Machine Learning · Statistics 2019-11-27 Arun Venkitaraman , Håkan Hjalmarsson , Bo Wahlberg

We present a binary routing tree protocol for distributed hash table overlays. Using this protocol each peer can independently route messages to its parent and two descendants on the fly without any maintenance, global context, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-15 Ran Wolff

Many machine learning tasks can benefit from external knowledge. Large knowledge graphs store such knowledge, and embedding methods can be used to distill it into ready-to-use vector representations for downstream applications. For this…

Machine Learning · Computer Science 2026-03-18 Félix Lefebvre , Gaël Varoquaux

We propose a limited packet-delivering capacity model for traffic dynamics in scale-free networks. In this model, the total node's packet-delivering capacity is fixed, and the allocation of packet-delivering capacity on node $i$ is…

Networking and Internet Architecture · Computer Science 2015-05-30 Han-Xin Yang , Wen-Xu Wang , Zhi-Xi Wu , Bing-Hong Wang

Scale invariance of an algorithm refers to its ability to treat objects equally independently of their size. For neural networks, scale invariance is typically achieved by data augmentation. However, when presented with a scale far outside…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Tin Barisin , Katja Schladitz , Claudia Redenbach

This paper aims to apply two major scaling transformations from the computing packaging industry to internet routers: the heterogeneous integration of high-bandwidth memories (HBMs) and chiplets, as well as in-package optics. We propose a…

Networking and Internet Architecture · Computer Science 2026-02-12 Isaac Keslassy , Ilay Yavlovich , Jose Yallouz , Tzu-Chien Hsueh , Yeshaiahu Fainman , Bill Lin

We define the crossing graph of a given embedded graph (such as a road network) to be a graph with a vertex for each edge of the embedding, with two crossing graph vertices adjacent when the corresponding two edges of the embedding cross…

Data Structures and Algorithms · Computer Science 2017-09-20 David Eppstein , Siddharth Gupta

We numerically investigate the scale-free network model of Barab{\'a}si and Albert [A. L. Barab{\'a}si and R. Albert, Science {\bf 286}, 509 (1999)] through the use of various path finding strategies. In real networks, global network…

Disordered Systems and Neural Networks · Physics 2007-05-23 Beom Jun Kim , Chang No Yoon , Seung Kee Han , Hawoong Jeong