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Virtual topologies in peer-to-peer networks can reduce the traffic consumed by altering the logical connectivity of peers without altering the underlying network. However, such sparsely connected virtual topologies do not focus on the needs…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-05 Purboday Ghosh , Shashank Shekhar , Yashen Lin , Ulrich Muenz , Gabor Karsai

Virtual networks are an innovative abstraction that extends cloud computing concepts to the network: by supporting bandwidth reservations between compute nodes (e.g., virtual machines), virtual networks can provide a predictable performance…

Computational Complexity · Computer Science 2023-11-10 Sergey Pankratov , Vitaly Aksenov , Stefan Schmid

The existing peer-to-peer networks have several problems such as fake content distribution, free riding, white-washing and poor search scalability, lack of a robust trust model and absence of user privacy protection mechanism. Although,…

Cryptography and Security · Computer Science 2021-09-07 Jaydip Sen

One of the fundamental problems in network virtualization is Virtual Network Embedding (VNE). The VNE problem deals with finding an effective mapping of the virtual nodes & links onto the substrate network. The recent advances in network…

Networking and Internet Architecture · Computer Science 2016-02-09 Luís Ferrolho , Max Alaluna , Nuno Neves , Fernando M. V. Ramos

The performance of distributed and data-centric applications often critically depends on the interconnecting network. Applications are hence modeled as virtual networks, also accounting for resource demands on links. At the heart of…

Data Structures and Algorithms · Computer Science 2021-05-18 Aleksander Figiel , Leon Kellerhals , Rolf Niedermeier , Matthias Rost , Stefan Schmid , Philipp Zschoche

The network virtualization paradigm envisions an Internet where arbitrary virtual networks (VNets) can be specified and embedded over a shared substrate (e.g., the physical infrastructure). As VNets can be requested at short notice and for…

Networking and Internet Architecture · Computer Science 2013-04-23 Yvonne-Anne Pignolet , Stefan Schmid , Gilles Tredan

We study the complexity of the Virtual Network Embedding Problem (VNE), which is the combinatorial core of several telecommunication problems related to the implementation of virtualization technologies, such as Network Slicing. VNE is to…

Discrete Mathematics · Computer Science 2025-01-20 Amal Benhamiche , Pierre Fouilhoux , Lucas Létocart , Nancy Perrot , Alexis Schneider

Many resource allocation problems in the cloud can be described as a basic Virtual Network Embedding Problem (VNEP): the problem of finding a mapping of a request graph (describing a workload) onto a substrate graph (describing the physical…

Networking and Internet Architecture · Computer Science 2018-03-29 Matthias Rost , Stefan Schmid

While message passing neural networks (MPNNs) have convincing success in a range of applications, they exhibit limitations such as the oversquashing problem and their inability to capture long-range interactions. Augmenting MPNNs with a…

Machine Learning · Computer Science 2025-04-08 Joshua Southern , Francesco Di Giovanni , Michael Bronstein , Johannes F. Lutzeyer

Meshes are widely used in 3D computer vision and graphics, but their irregular topology poses challenges in applying them to existing neural network architectures. Recent advances in mesh neural networks turn to remeshing and push the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Shengchao Yuan , Yishun Dou , Rui Shi , Bingbing Ni , Zhong Zheng

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

Network virtualization provides a promising solution to overcome the ossification of current networks, allowing multiple Virtual Network Requests (VNRs) embedded on a common infrastructure. The major challenge in network virtualization is…

Networking and Internet Architecture · Computer Science 2018-12-18 Haitao Wu , Fen Zhou , Yaojun Chen , Ran Zhang

Traditional methods for high-dimensional diffeomorphic mapping often struggle with the curse of dimensionality. We propose a mesh-free learning framework designed for $n$-dimensional mapping problems, seamlessly combining variational…

Machine Learning · Computer Science 2025-11-05 Zhiwen Li , Cheuk Hin Ho , Lok Ming Lui

Modern network virtualization platforms enable users to specify custom topologies and arbitrary addressing schemes for their virtual networks. These platforms have, however, been targeting the data center of a single provider, which is…

Networking and Internet Architecture · Computer Science 2018-10-09 Max Alaluna , Luís Ferrolho , José Rui Figueira , Nuno Neves , Fernando M. V. Ramos

In this paper, we investigate the topology convergence problem for the gossip-based Gradient overlay network. In an overlay network where each node has a local utility value, a Gradient overlay network is characterized by the properties…

Systems and Control · Computer Science 2016-11-17 Håkan Terelius , Guodong Shi , Jim Dowling , Amir Payberah , Ather Gattami , Karl Henrik Johansson

Congruence theory has many applications in physical, social, biological and technological systems. Congruence arithmetic has been a fundamental tool for data security and computer algebra. However, much less attention was devoted to the…

Number Theory · Mathematics 2016-03-21 Xiao-Yong Yan , Wen-Xu Wang , Guan-Rong Chen , Ding-Hua Shi

Centralized Virtual Private Networks (VPNs) when used in distributed systems have performance constraints as all traffic must traverse through a central server. In recent years, there has been a paradigm shift towards the use of P2P in VPNs…

Networking and Internet Architecture · Computer Science 2010-01-18 David Isaac Wolinsky , Linton Abraham , Kyungyong Lee , Yonggang Liu , Jiangyan Xu , P. Oscar Boykin , Renato Figueiredo

We consider the problem of designing an overlay network and routing mechanism that permits finding resources efficiently in a peer-to-peer system. We argue that many existing approaches to this problem can be modeled as the construction of…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes , Zoe Diamadi , Gauri Shah

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Machine Learning · Computer Science 2023-06-28 Zhen Liang , Dejin Ren , Bai Xue , Ji Wang , Wenjing Yang , Wanwei Liu

In the virtual network embedding problem, the goal is to map embed a set of virtual network instances to a given physical network substrate at minimal cost, while respecting the capacity constraints of the physical network. This NP-hard…

Networking and Internet Architecture · Computer Science 2025-05-16 Oleg Kolosov , Gala Yadgar , David Breitgand , Dean H. Lorenz
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