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The analysis of networks, aimed at suitably defined functionality, often focuses on partitions into subnetworks that capture desired features. Chief among the relevant concepts is a 2-partition, that underlies the classical Cheeger…

Discrete Mathematics · Computer Science 2020-09-29 Fariba Ariaei , Zahra Askarzadeh , Yongxin Chen , Tryphon T. Georgiou

Heterostructures comprising different monolayer semiconductors provide a new system for fundamental science and device technologies, such as in the emerging field of valleytronics. Here, we realize valley-specific interlayer excitons in…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Pasqual Rivera , Kyle L. Seyler , Hongyi Yu , John R. Schaibley , Jiaqiang Yan , David G. Mandrus , Wang Yao , Xiaodong Xu

Topological Data Analysis (TDA) uses insights from topology to create representations of data able to capture global and local geometric and topological properties. Its methods have successfully been used to develop estimations of fractal…

We study layered systems and heterostructures of s-wave superconductors by means of a suitable generalization of Dynamical Mean-Field Theory. In order to reduce the computational effort, we consider an embedding scheme in which a relatively…

Strongly Correlated Electrons · Physics 2016-06-22 Francesco Petocchi , Massimo Capone

Ubiquitous sensing devices frequently disseminate data among them. The use of a distributed event-based system that decouples publishers from subscribers arises as an ideal candidate to implement the dissemination process. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-27 Cristina Muñoz , Pierre Leone

We construct algorithms and topological invariants that allow us to distinguish the topological type of a surface, as well as functions and vector fields for their topological equivalence. In the first part (arXiv:2501.15657), we discused…

Geometric Topology · Mathematics 2025-02-17 Alexandr Prishlyak

The Internet is inherently a multipath network---for an underlying network with only a single path connecting various nodes would have been debilitatingly fragile. Unfortunately, traditional Internet technologies have been designed around…

Networking and Internet Architecture · Computer Science 2015-09-18 Junaid Qadir , Anwaar Ali , Kok-Lim Alvin Yau , Arjuna Sathiaseelan , Jon Crowcroft

The densification and expansion of wireless networks pose new challenges on energy efficiency. With a drastic increase of infrastructure nodes (e.g. ultra-dense deployment of small cells), the total energy consumption may easily exceed an…

Networking and Internet Architecture · Computer Science 2014-08-28 R. L. G. Cavalcante , S. Stańczak , M. Schubert , A. Eisenblätter , U. Türke

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

Statistical Mechanics · Physics 2009-02-26 Alicia Miralles , Lichao Chen , Zhongzhi Zhang , Francesc Comellas

An ensemble of resonators arranged on a sub-wavelength scale is usually considered as a bulk effective medium, known as a metamaterial, and can offer unusual macroscopic properties. Here, we take a different approach and limit ourselves to…

Optics · Physics 2019-10-09 S. Metais , G. Lerosey , F. Lemoult

A new type of collective excitations, due exclusively to the topology of a complex random network that can be characterized by a fractal dimension $D_F$, is investigated. We show analytically that these excitations generate phase…

Statistical Mechanics · Physics 2015-12-21 Felipe Torres , Jose Rogan , Miguel Kiwi , Juan Alejandro Valdivia

In this work, we conduct a comparative study on two deep unfolding mechanisms to efficiently perform power control in the next generation wireless networks. The power control problem is formulated as energy efficiency over multiple…

Networking and Internet Architecture · Computer Science 2024-03-29 Abuzar B. M. Adam , Mohammed A. M. Elhassan , Elhadj Moustapha Diallo

Operations of substation circuit breakers are important for maintenance needs and topology reconfiguration in power systems. Bus splitting is one type of topology change where the two bus bars at a substation can become electrically…

Optimization and Control · Mathematics 2021-03-24 Yuqi Zhou , Ahmed S. Zamzam , Andrey Bernstein , Hao Zhu

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

Flow networks are essential for both living organisms and enginneered systems. These networks often present complex dynamics controlled, at least in part, by their topology. Previous works have shown that topologically complex networks…

Soft Condensed Matter · Physics 2020-03-24 Miguel Ruiz-Garcia , Eleni Katifori

Terahertz waves offer a profound platform for next-generation sensing, imaging, and information communications. However, all conventional terahertz components and systems suffer from a bulky design, sensitivity to imperfections, and…

Square-root topology is a recently emerged subfield describing a class of insulators and superconductors whose topological nature is only revealed upon squaring their Hamiltonians, i.e., the finite energy edge states of the starting…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 A. M. Marques , L. Madail , R. G. Dias

Knowing the connectivity and line parameters of the underlying electric distribution network is a prerequisite for solving any grid optimization task. Although distribution grids lack observability and comprehensive metering, inverters with…

Optimization and Control · Mathematics 2019-02-22 Guido Cavraro , Vassilis Kekatos

Many physical, biological, and social phenomena can be described by cascades taking place on a network. Often, the activity can be empirically observed, but not the underlying network of interactions. In this paper we offer three…

Social and Information Networks · Computer Science 2017-07-24 Sushrut Ghonge , Dervis Can Vural

Social networks are of interest to researchers in part because they are thought to mediate the flow of information in communities and organizations. Here we study the temporal dynamics of communication using on-line data, including e-mail…

Physics and Society · Physics 2008-06-20 Gueorgi Kossinets , Jon Kleinberg , Duncan Watts