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One of the defining features of complex networks is the connectivity properties that we observe emerging from local interactions. Recently, hypergraphs have emerged as a versatile tool to model networks with non-dyadic, higher-order…

Physics and Society · Physics 2025-09-30 Berné L. Nortier , Simon Dobson , Federico Battiston

In this paper, we propose a simple but effective method for fast image segmentation. We re-examine the locality-preserving character of spectral clustering by constructing a graph over image regions with both global and local connections.…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Zizhao Zhang , Fuyong Xing , Hanzi Wang , Yan Yan , Ying Huang , Xiaoshuang Shi , Lin Yang

Information dissemination is a fundamental and frequently occurring problem in large, dynamic, distributed systems. In order to solve this, there has been an increased interest in creating efficient overlay networks that can maintain…

Networking and Internet Architecture · Computer Science 2020-06-09 Chase Smith , Alex Rusnak

Determining whether nodes can be localized, called localizability detection, is essential for wireless sensor networks (WSNs). This step is required for localizing nodes, achieving low-cost deployments, and identifying prerequisites in…

Signal Processing · Electrical Eng. & Systems 2018-12-31 Hejun Wu , Ao Ding , Lvzhou Li

Given a set of points in the plane, we want to establish a connection network between these points that consists of several disjoint layers. Motivated by sensor networks, we want that each layer is spanning and plane, and that no edge is…

Community detection in graphs has many important and fundamental applications including in distributed systems, compression, image segmentation, divide-and-conquer graph algorithms such as nested dissection, document and word clustering,…

Social and Information Networks · Computer Science 2019-06-18 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

Heterogeneous ultra-dense network (HUDN) can significantly increase the spectral efficiency of cellular networks and cater for the explosive growth of data traffic in the fifth-generation (5G) communications. Due to the dense deployment of…

Information Theory · Computer Science 2017-09-22 Hongliang Zhang , Lingyang Song , Yonghui Li , Geoffrey Ye Li

One of the challenges for future infrastructures is how to design a network with high efficiency and strong connectivity at low cost. We propose self-organized geographical networks beyond the vulnerable scale-free structure found in many…

Physics and Society · Physics 2015-05-30 Yukio Hayashi , Yuki Meguro

We consider hierarchical beamforming in wireless networks. For a given population of flows, we propose computationally efficient algorithms for fair rate allocation including proportional fairness and max-min fairness. We next propose…

Networking and Internet Architecture · Computer Science 2018-05-18 Julien Floquet , Richard Combes , Zwi Altman

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

As a representative of a complex technological system, so-called wireless multihop ad hoc communication networks are discussed. They represent an infrastructure-less generalization of todays wireless cellular phone networks. Lacking a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfram Krause , Ingmar Glauche , Rudolf Sollacher , Martin Greiner

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi

Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

Social and Information Networks · Computer Science 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

In cellular systems using frequency division duplex, growing Internet services cause unbalance of uplink and downlink traffic, resulting in poor uplink spectrum utilization. Addressing this issue, this paper considers overlaying an ad hoc…

Information Theory · Computer Science 2016-11-17 Kaibin Huang , Yan Chen , Bin Chen , Xia Yang , Vincent K. N. Lau

Many networks can be characterised by the presence of communities, which are groups of units that are closely linked. Identifying these communities can be crucial for understanding the system's overall function. Recently, hypergraphs have…

Social and Information Networks · Computer Science 2024-03-12 Quintino Francesco Lotito , Federico Musciotto , Alberto Montresor , Federico Battiston

Hypergraphs have seen widespread application in network and data science communities in recent years. We present a survey of recent work to construct auxiliary structures from hypergraphs -- specifically simplicial, relative, and chain…

Algebraic Topology · Mathematics 2025-10-14 Ellen Gasparovic , Emilie Purvine , Radmila Sazdanovic , Bei Wang , Yusu Wang , Lori Ziegelmeier

We investigate the problem of multiplex graph embedding, that is, graphs in which nodes interact through multiple types of relations (dimensions). In recent years, several methods have been developed to address this problem. However, the…

Machine Learning · Computer Science 2023-12-29 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

Undirected hyperbolic graph models have been extensively used as models of scale-free small-world networks with high clustering coefficient. Here we presented a simple directed hyperbolic model, where nodes randomly distributed on a…

Physics and Society · Physics 2023-11-28 I. A. Kasyanov , P. van der Hoorn , D. Krioukov , M. V. Tamm

Deep learning is widely used in wireless communications but struggles with fixed neural network sizes, which limit their adaptability in environments where the number of users and antennas varies. To overcome this, this paper introduced a…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Mingjun Sun , Shaochuan Wu , Haojie Wang , Yuanwei Liu , Guoyu Li , Tong Zhang

Proximity measures on graphs have a variety of applications in network analysis, including community detection. Previously they have been mainly studied in the context of networks without attributes. If node attributes are taken into…

Social and Information Networks · Computer Science 2022-12-06 Rinat Aynulin , Pavel Chebotarev
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