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In most of the shortest path problems like vehicle routing problems and network routing problems, we only need an efficient path between two points source and destination, and it is not necessary to calculate the shortest path from source…

Data Structures and Algorithms · Computer Science 2009-11-03 Muhammad Aasim Qureshi , Dr. Fadzil B. Hassan , Sohail Safdar , Rehan Akbar

There has been significant interest in the networking community on the impact of cascade effects on the diffusion of networking technology upgrades in the Internet. Thinking of the global Internet as a graph, where each node represents an…

Social and Information Networks · Computer Science 2015-03-20 Sharon Goldberg , Zhenming Liu

One major open problem in network coding is to characterize the capacity region of a general multi-source multi-demand network. There are some existing computational tools for bounding the capacity of general networks, but their…

Information Theory · Computer Science 2015-03-17 Michelle Effros , Tracey Ho , Shirin Jalali

This paper studies the problem of embedding very large information networks into low-dimensional vector spaces, which is useful in many tasks such as visualization, node classification, and link prediction. Most existing graph embedding…

Machine Learning · Computer Science 2015-03-13 Jian Tang , Meng Qu , Mingzhe Wang , Ming Zhang , Jun Yan , Qiaozhu Mei

Betweenness centrality is essential in complex network analysis; it characterizes the importance of nodes and edges in networks. It is a crucial problem that exactly computes the betweenness centrality in large networks faster, which…

Computational Engineering, Finance, and Science · Computer Science 2023-06-22 Yelai Feng , Huaixi Wang

We present fast algorithms for approximate shortest paths in the massively parallel computation (MPC) model. We provide randomized algorithms that take $poly(\log{\log{n}})$ rounds in the near-linear memory MPC model. Our results are for…

Data Structures and Algorithms · Computer Science 2025-05-20 Michal Dory , Shaked Matar

Dual descent methods are commonly used to solve network flow optimization problems, since their implementation can be distributed over the network. These algorithms, however, often exhibit slow convergence rates. Approximate Newton methods…

Optimization and Control · Mathematics 2015-03-25 Rasul Tutunov , Haitham Bou Ammar , Ali Jadbabaie

A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

Data Structures and Algorithms · Computer Science 2013-06-25 Martin Fink , Sergey Pupyrev

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

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

We consider a routing problem which plays an important role in several applications, primarily in communication network planning and VLSI layout design. The original underlying graph algorithmic task is called Disjoint Paths problem. In…

Data Structures and Algorithms · Computer Science 2018-09-19 Rupei Xu , András Faragó

Constructing a shortest path between two network nodes is a fundamental task in distributed computing. This work develops schemes for the construction of shortest paths in randomized beeping networks between a predetermined source node and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-05 Fabien Dufoulon , Yuval Emek , Ran Gelles

We design fast deterministic algorithms for distance computation in the congested clique model. Our key contributions include: -- A $(2+\epsilon)$-approximation for all-pairs shortest paths in $O(\log^2{n} / \epsilon)$ rounds on unweighted…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Keren Censor-Hillel , Michal Dory , Janne H. Korhonen , Dean Leitersdorf

A significant problem in analysis of complex network is to reveal community structure, in which network nodes are tightly connected in the same communities, between which there are sparse connections. Previous algorithms for community…

Physics and Society · Physics 2018-04-25 Jingming Zhang , Jianjun Cheng , Xing Su , Xinhong Yin , Shiyan Zhao , Xiaoyun Chen

We develop efficient algorithms for a fundamental network design problem arising in potential-based flow models, which are central to many energy transport networks (e.g., hydrogen and electricity). In contrast to classical network flow…

Discrete Mathematics · Computer Science 2026-04-30 Max Klimm , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

Classic algorithms and machine learning systems like neural networks are both abundant in everyday life. While classic computer science algorithms are suitable for precise execution of exactly defined tasks such as finding the shortest path…

Machine Learning · Computer Science 2022-09-02 Felix Petersen

Finding the important nodes in complex networks by topological structure is of great significance to network invulnerability. Several centrality measures have been proposed recently to evaluate the performance of nodes based on their…

Social and Information Networks · Computer Science 2021-02-23 Pengli Lu , Chen Dong , Yuhong Guo

Deep neural networks have proven to be particularly effective in visual and audio recognition tasks. Existing models tend to be computationally expensive and memory intensive, however, and so methods for hardware-oriented approximation have…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Erwei Wang , James J. Davis , Ruizhe Zhao , Ho-Cheung Ng , Xinyu Niu , Wayne Luk , Peter Y. K. Cheung , George A. Constantinides

In this paper we formally define the hierarchical clustering network problem (HCNP) as the problem to find a good hierarchical partition of a network. This new problem focuses on the dynamic process of the clustering rather than on the…

Social and Information Networks · Computer Science 2024-02-12 Daniel Gómez , Javier Castro , Inmaculada Gutiérrez , Rosa Espínola

Identifying shortest paths between nodes in a network is a common graph analysis problem that is important for many applications involving routing of resources. An adversary that can manipulate the graph structure could alter traffic…

Social and Information Networks · Computer Science 2022-11-22 Benjamin A. Miller , Zohair Shafi , Wheeler Ruml , Yevgeniy Vorobeychik , Tina Eliassi-Rad , Scott Alfeld