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The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

There is a growing interest in discovery of internet topology at the interface level. A new generation of highly distributed measurement systems is currently being deployed. Unfortunately, the research community has not examined the problem…

Networking and Internet Architecture · Computer Science 2007-05-23 Benoit Donnet , Philippe Raoult , Timur Friedman , Mark Crovella

{\em Hypernetworks} are architectures that produce the weights of a task-specific {\em primary network}. A notable application of hypernetworks in the recent literature involves learning to output functional representations. In these…

Machine Learning · Computer Science 2021-02-24 Etai Littwin , Tomer Galanti , Lior Wolf , Greg Yang

Multi-plane architectures have become increasingly prevalent in the Fat-Tree networks of AI data centers. By leveraging multiple ports on a single network interface card (NIC) or multiple NICs within a scale-up domain, each port or NIC is…

Networking and Internet Architecture · Computer Science 2026-04-28 Ziyu Wang , Fei Lei , Dezun Dong

Robust network design refers to a class of optimization problems that occur when designing networks to efficiently handle variable demands. The notion of "hierarchical hubbing" was introduced (in the narrow context of a specific robust…

Data Structures and Algorithms · Computer Science 2014-07-01 Neil Olver

As high-performance computing systems scale in size and complexity, efficient resource management is essential to minimize communication overhead. The HyperX is a richly connected, low-diameter network that offers a scalable and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-28 Alejandro Cano , Cristóbal Camarero , Carmen Martínez , Ramón Beivide

As the scale of data centers continues to grow, there is an increasing demand for interconnection networks to resist malicious attacks. Hence, it is necessary to evaluate the reliability of networks under various fault patterns. The family…

Combinatorics · Mathematics 2025-03-19 Shuqian Cheng , Mingzu Zhang , Sun-Yuan Hsieh , Eddie Cheng

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

The network topology can be described by the number of nodes and the interconnections among them. The degree of a node in a network is the number of connections it has to other nodes and the degree distribution is the probability…

Physics and Society · Physics 2014-09-19 Bin Zhou , Bing-Hong Wang , He Zhe

Communication latency has become one of the determining factors for the performance of parallel clusters. To design low-latency network topologies for high-performance computing clusters, we optimize the diameters, mean path lengths, and…

Networking and Internet Architecture · Computer Science 2022-01-06 Xiaolong Huang , Alexandre F. Ramos , Yuefan Deng

As quantum theory allows for information processing and computing tasks that otherwise are not possible with classical systems, there is a need and use of quantum Internet beyond existing network systems. At the same time, the realization…

Quantum Physics · Physics 2024-05-29 Abhishek Sadhu , Meghana Ayyala Somayajula , Karol Horodecki , Siddhartha Das

To reduce cost, datacenter network operators are exploring blocking network designs. An example of such a design is a "spine-free" form of a Fat-Tree, in which pods directly connect to each other, rather than via spine blocks. To maintain…

Networking and Internet Architecture · Computer Science 2021-10-19 Mingyang Zhang , Jianan Zhang , Rui Wang , Ramesh Govindan , Jeffrey C. Mogul , Amin Vahdat

A prevalent assumption regarding real-world data is that it lies on or close to a low-dimensional manifold. When deploying a neural network on data manifolds, the required size, i.e., the number of neurons of the network, heavily depends on…

Machine Learning · Computer Science 2024-10-30 Jiachen Yao , Mayank Goswami , Chao Chen

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

A hypergraph $\mathcal{H}=(V,\mathcal{E})$ is a hypertree if it admits a tree $T$ with vertex set $V$ such that every edge of $\mathcal{H}$ induces a subtree of $T$. A tree like that is called a host tree. Several characterizations and…

Combinatorics · Mathematics 2025-04-25 Pablo De Caria Di Fonzo

This article provides a taxonomy of current and past network modeling efforts. In all these efforts over the last few years we see a trend towards not only describing the network, but connected devices as well. This is especially current…

Networking and Internet Architecture · Computer Science 2014-03-06 Jeroen van der Ham , Mattijs Ghijsen , Paola Grosso , Cees de Laat

Industry experience indicates that the ability to incrementally expand data centers is essential. However, existing high-bandwidth network designs have rigid structure that interferes with incremental expansion. We present Jellyfish, a…

Networking and Internet Architecture · Computer Science 2012-04-24 Ankit Singla , Chi-Yao Hong , Lucian Popa , P. Brighten Godfrey

We address various topologies (de Bruijn, chordal ring, generalized Petersen, meshes) in various ways ( isometric embedding, embedding up to scale, embedding up to a distance) in a hypercube or a half-hypercube. Example of obtained…

Metric Geometry · Mathematics 2016-11-03 Adel Alahmadi , Husain Alhazmi , Shakir Ali , Michel Deza , Mathieu Dutour Sikirić , Patrick Solé

Network properties govern the rate and extent of various spreading processes, from simple contagions to complex cascades. Recently, the analysis of spreading processes has been extended from static networks to temporal networks, where nodes…

Physics and Society · Physics 2019-12-18 Eun Lee , Scott Emmons , Ryan Gibson , James Moody , Peter J. Mucha

This work explores hypernetworks: an approach of using a one network, also known as a hypernetwork, to generate the weights for another network. Hypernetworks provide an abstraction that is similar to what is found in nature: the…

Machine Learning · Computer Science 2016-12-02 David Ha , Andrew Dai , Quoc V. Le