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We study the realizability of scale free-networks with a given degree sequence, showing that the fraction of realizable sequences undergoes two first-order transitions at the values 0 and 2 of the power-law exponent. We substantiate this…

Physics and Society · Physics 2011-11-04 Charo I. Del Genio , Thilo Gross , Kevin E. Bassler

We describe a distributed randomized algorithm computing approximate distances and routes that approximate shortest paths. Let n denote the number of nodes in the graph, and let HD denote the hop diameter of the graph, i.e., the diameter of…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-05 Christoph Lenzen , Boaz Patt-Shamir

We propose a learning algorithm for local routing policies that needs only a few data samples obtained from a single graph while generalizing to all random graphs in a standard model of wireless networks. We thus solve the all-pairs…

Machine Learning · Computer Science 2023-08-22 Yung-Fu Chen , Sen Lin , Anish Arora

A common way to accelerate shortest path algorithms on graphs is the use of a bidirectional search, which simultaneously explores the graph from the start and the destination. It has been observed recently that this strategy performs…

Data Structures and Algorithms · Computer Science 2022-03-17 Thomas Bläsius , Cedric Freiberger , Tobias Friedrich , Maximilian Katzmann , Felix Montenegro-Retana , Marianne Thieffry

Overlay network topology together with peer/data organization and search algorithm are the crucial components of unstructured peer-to-peer (P2P) networks as they directly affect the efficiency of search on such networks. Scale-free…

Networking and Internet Architecture · Computer Science 2016-11-18 Eyuphan Bulut , Boleslaw K. Szymanski

Grid mapping is a fundamental approach to modeling the environment of intelligent vehicles or robots. Compared with object-based environment modeling, grid maps offer the distinct advantage of representing the environment without requiring…

Robotics · Computer Science 2026-04-03 Robin Dehler , Dominik Authaler , Aryan Thakur , Thomas Wodtko , Michael Buchholz

Two-way relaying can significantly improve performance of next generation wireless networks. However, due to its dependence on multi-node cooperation and transmission coordination, applying this technique to a wireless network in an…

Information Theory · Computer Science 2012-07-27 Wenguang Mao , Xudong Wang

This paper focuses on intelligent routing in microservice systems and proposes an end-to-end optimization framework based on graph neural networks. The goal is to improve routing decision efficiency and overall system performance under…

Networking and Internet Architecture · Computer Science 2025-10-20 Chenrui Hu , Ziyu Cheng , Di Wu , Yuxiao Wang , Feng Liu , Zhimin Qiu

Processing massive application graphs on distributed memory systems requires to map the graphs onto the system's processing elements (PEs). This task becomes all the more important when PEs have non-uniform communication costs or the input…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-07 Maria Predari , Charilaos Tzovas , Christian Schulz , Henning Meyerhenke

We consider distributed networks, such as peer-to-peer networks, whose structure can be manipulated by adjusting the rules by which vertices enter and leave the network. We focus in particular on degree distributions and show that, with…

Physics and Society · Physics 2007-10-18 Gourab Ghoshal , M. E. J. Newman

The paper presents a topology-agnostic greedy protocol for network-on-chip routing. The proposed routing algorithm can tolerate any number of permanent faults, and is proven to be deadlock-free. We introduce a specialized variant of the…

Networking and Internet Architecture · Computer Science 2018-11-29 Pieter Stroobant , Sergi Abadal , Wouter Tavernier , Eduard Alarcón , Didier Colle , Mario Pickavet

Payment channel hub (PCH), by leveraging a powerful hub to reliably provide off-chain payment services, offers an effective enhancement to payment channel networks (PCNs). However, existing approaches typically rely on a single hub to relay…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-31 Lingxiao Yang , Xuewen Dong , Wei Wang , Yong Yu , Sheng Gao , Qiang Qu , Yulong Shen

We describe an efficient method for drawing any n-vertex simple graph G in the hyperbolic plane. Our algorithm produces greedy drawings, which support greedy geometric routing, so that a message M between any pair of vertices may be routed…

Computational Geometry · Computer Science 2008-06-03 David Eppstein , Michael T. Goodrich

The mixture of Expert (MoE) parallelism is a recent advancement that scales up the model size with constant computational cost. MoE selects different sets of parameters (i.e., experts) for each incoming token, resulting in a…

Machine Learning · Computer Science 2022-12-13 Chaoyang He , Shuai Zheng , Aston Zhang , George Karypis , Trishul Chilimbi , Mahdi Soltanolkotabi , Salman Avestimehr

In this paper, we present a simple model of scale-free networks that incorporates both preferential & random attachment and anti-preferential & random deletion at each time step. We derive the degree distribution analytically and show that…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Dinghua Shi , Xiang Zhu , Liming Liu

A prominent paradigm for graph neural networks is based on the message-passing framework. In this framework, information communication is realized only between neighboring nodes. The challenge of approaches that use this paradigm is to…

Machine Learning · Computer Science 2023-09-18 Maysam Behmanesh , Maximilian Krahn , Maks Ovsjanikov

Recently, motivated by the pioneer works in revealing the small-world effect and scale-free property of various real-life networks, many scientists devote themselves to studying complex networks. In this paper, we give a brief review on the…

Physics and Society · Physics 2007-05-23 Bing-Hong Wang , Tao Zhou

Growth models have been proposed for constructing the scale-free overlay topology to improve the performance of unstructured peer-to-peer (P2P) networks. However, previous growth models are able to maintain the limited scale-free topology…

Physics and Society · Physics 2016-07-13 Xiaoyan Lu , Eyuphan Bulut , Boleslaw Szymanski

Despite great effort spent measuring topological features of large networks like the Internet, it was recently argued that sampling based on taking paths through the network (e.g., traceroutes) introduces a fundamental bias in the observed…

Disordered Systems and Neural Networks · Physics 2009-09-29 Aaron Clauset , Cristopher Moore

The OpenFlow-based SDN is widely studied to better network performance through planning fine-grained paths. However, being designed to configure path hop-by-hop, it faces the scalability issue that both the flow table overhead and path…

Networking and Internet Architecture · Computer Science 2017-04-28 Long Luo , Hongfang Yu , Shouxi Luo
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