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We define the crossing graph of a given embedded graph (such as a road network) to be a graph with a vertex for each edge of the embedding, with two crossing graph vertices adjacent when the corresponding two edges of the embedding cross…

Data Structures and Algorithms · Computer Science 2017-09-20 David Eppstein , Siddharth Gupta

Facing the congestion challenges of mixed road networks comprising expressways and arterial road networks, traditional control solutions fall short. To effectively alleviate traffic congestion in mixed road networks, it is crucial to clear…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Yunran Di , Haotian Shi , Weihua Zhang , Heng Ding , Xiaoyan Zheng , Bin Ran

Consider a large social network with possibly severe degree heterogeneity and mixed-memberships. We are interested in testing whether the network has only one community or there are more than one communities. The problem is known to be…

Methodology · Statistics 2018-07-24 Jiashun Jin , Zheng Tracy Ke , Shengming Luo

Local graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most (local) graph clustering algorithms is to find a…

Data Structures and Algorithms · Computer Science 2021-06-10 Peter Macgregor , He Sun

We study the recently introduced problem of finding dense common subgraphs: Given a sequence of graphs that share the same vertex set, the goal is to find a subset of vertices $S$ that maximizes some aggregate measure of the density of the…

Data Structures and Algorithms · Computer Science 2018-02-20 Moses Charikar , Yonatan Naamad , Jimmy Wu

Balancing traffic flow by influencing drivers' route choices to alleviate congestion is becoming increasingly more appealing in urban traffic planning. Here, we introduce a discrete dynamical model comprising users who make their own…

Physics and Society · Physics 2020-09-09 Bo Li , David Saad , Andrey Y. Lokhov

We study network traffic dynamics in a two dimensional communication network with regular nodes and hubs. If the network experiences heavy message traffic, congestion occurs due to finite capacity of the nodes. We discuss strategies to…

Physics and Society · Physics 2016-09-08 Neelima Gupte , Brajendra K. Singh

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

In backbone networks, it is fundamental to quickly protect traffic against any unexpected event, such as failures or congestions, which may impact Quality of Service (QoS). Standard solutions based on Segment Routing (SR), such as…

Discrete Mathematics · Computer Science 2024-05-01 Sébastien Martin , Youcef Magnouche , Paolo Medagliani , Jérémie Leguay

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

Data Structures and Algorithms · Computer Science 2021-08-11 Alexander Noe

Dense subgraph extraction is a fundamental problem in graph analysis and data mining, aimed at identifying cohesive and densely connected substructures within a given graph. It plays a crucial role in various domains, including social…

Data Structures and Algorithms · Computer Science 2024-03-01 Chia-Yang Hung , Chih-Ya Shen

Rapid urbanization places increasing stress on already burdened transportation systems, resulting in delays and poor levels of service. Billions of spatiotemporal call detail records (CDRs) collected from mobile devices create new…

Physics and Society · Physics 2014-03-05 Jameson L. Toole , Serdar Colak , Fahad Alhasoun , Alexandre Evsukoff , Marta C. Gonzalez

Real-data networks often appear to have strong modularity, or network-of-networks structure, in which subgraphs of various size and consistency occur. Finding the respective subgraph structure is of great importance, in particular for…

Physics and Society · Physics 2008-09-29 Mitrovic Marija , Bosiljka Tadic

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

Even though clustering trajectory data attracted considerable attention in the last few years, most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying…

Machine Learning · Computer Science 2012-10-04 Mohamed Khalil El Mahrsi , Fabrice Rossi

We study the analysis of all the movements of the population on the basis of their mobility from one node to another, to observe, measure, and predict the impact of traffic according to this mobility. The frequency of congestion on roads…

Physics and Society · Physics 2024-11-14 Henock M. Mboko , Mouhamadou A. M. T. Balde , Babacar M. Ndiaye

We described the average traffic congestion in several populous cities around the world from a new concept, namely landscape percolation. The ratio of the residential area size to road width is a fundamental parameter that controls the…

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

A macroscopic model is proposed to depict the traffic dynamics involved in urban traffic systems. The link dynamics are described based on the cell-transmission model and bounded by the link capacities, while the flow dynamics are proposed…

Optimization and Control · Mathematics 2020-02-25 Yicheng Zhang
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