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A hallmark of graph neural networks is their ability to distinguish the isomorphism class of their inputs. This study derives hardness results for the classification variant of graph isomorphism in the message-passing model (MPNN). MPNN…

Machine Learning · Computer Science 2020-10-19 Andreas Loukas

High order networks are weighted hypergraphs col- lecting relationships between elements of tuples, not necessarily pairs. Valid metric distances between high order networks have been defined but they are difficult to compute when the…

Social and Information Networks · Computer Science 2016-05-04 Weiyu Huang , Alejandro Ribeiro

This paper describes a general framework called Hybrid Dynamic Mixed Networks (HDMNs) which are Hybrid Dynamic Bayesian Networks that allow representation of discrete deterministic information in the form of constraints. We propose…

Artificial Intelligence · Computer Science 2012-07-09 Vibhav Gogate , Rina Dechter , Bozhena Bidyuk , Craig Rindt , James Marca

Systems of cities at the macroscopic scale have their trajectories conditioned by the evolution of infrastructure networks. This leads to complex planning and management situations in the particular case of international transportation…

Physics and Society · Physics 2021-09-01 Juste Raimbault

Vehicular Ad hoc NETworks (VANETs) have emerged as a platform to support intelligent inter-vehicle communication and improve traffic safety and performance. The road-constrained, high mobility of vehicles, their unbounded power source, and…

Other Computer Science · Computer Science 2011-10-05 Nicholas Loulloudes , George Pallis , Marios D. Dikaiakos

Public transport systems in 22 Polish cities have been analyzed. Sizes of these networks range from N=152 to N=2881. Depending on the assumed definition of network topology the degree distribution can follow a power law or can be described…

Physics and Society · Physics 2011-03-15 Julian Sienkiewicz , Janusz A. Holyst

In recent years, WSNs are garnering lot of interest from research community because of their unique characteristics and potential for enormous range of applications. Envision for new class of applications are being emerged such as human…

Networking and Internet Architecture · Computer Science 2012-12-24 Muhammad Imran , Halabi B. Hasbullah , Abas Md Said

In this study, the concept of small worlds is investigated in the context of large-scale wireless ad hoc and sensor networks. Wireless networks are spatial graphs that are usually much more clustered than random networks and have much…

Networking and Internet Architecture · Computer Science 2016-08-31 Ahmed Helmy

The behavior of complex networks under attack depends strongly on the specific attack scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure or attack but appear to be especially…

Physics and Society · Physics 2009-04-03 C. von Ferber , T. Holovatch , Yu. Holovatch

In this paper, a novel transport planning model system (TPMS) is formulated which is built on the concepts of supernetworks, multi-modality, integrity and calibration. In the proposed formulation, activity travel pattern (ATP) choice facets…

Physics and Society · Physics 2019-07-24 Ali Najmi , David Rey , Taha H. Rashidi , S. Travis Waller

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

Public urban mobility systems are composed by several transportation modes connected together. Most studies in urban mobility and planning often ignore the multi-layer nature of transportation systems considering only aggregated versions of…

Physics and Society · Physics 2019-02-07 Alberto Aleta , Sandro Meloni , Yamir Moreno

We present an algorithm to grow a graph with scale-free structure of {\it in-} and {\it out-links} and variable wiring diagram in the class of the world-wide Web. We then explore the graph by intentional random walks using local…

Statistical Mechanics · Physics 2009-11-10 Bosiljka Tadic

Quantitative descriptions of network structure in big data can provide fundamental insights into the function of interconnected complex systems. Small-world structure, commonly diagnosed by high local clustering yet short average path…

Neurons and Cognition · Quantitative Biology 2015-05-12 Sarah Feldt Muldoon , Eric W. Bridgeford , Danielle S. Bassett

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

Physics and Society · Physics 2016-07-05 Matthew J. Williams , Mirco Musolesi

Networks are ubiquitous structure that describes complex relationships between different entities in the real world. As a critical component of prediction task over nodes in networks, learning the feature representation of nodes has become…

Machine Learning · Computer Science 2018-09-10 Hansheng Xue , Jiajie Peng , Xuequn Shang

Real networks are complex dynamical systems, evolving over time with the addition and deletion of nodes and links. Currently, there exists no principled mathematical theory for their dynamics -- a grand-challenge open problem. Here, we show…

Physics and Society · Physics 2024-06-18 Evangelos S. Papaefthymiou , Costas Iordanou , Fragkiskos Papadopoulos

Urban streets patterns form planar networks whose empirical properties cannot be accounted for by simple models such as regular grids or Voronoi tesselations. Striking statistical regularities across different cities have been recently…

Physics and Society · Physics 2009-11-13 Marc Barthelemy , Alessandro Flammini

Hypergraphs, with their capacity to depict high-order relationships, have emerged as a significant extension of traditional graphs. Although Graph Neural Networks (GNNs) have remarkable performance in graph representation learning, their…

Machine Learning · Computer Science 2024-11-07 Khaled Mohammed Saifuddin , Mehmet Emin Aktas , Esra Akbas

In this article we investigate the topological changes undergone by trajectory networks as a consequence of progressive geographical infiltration. Trajectory networks, a type of knitted network, are obtained by establishing paths between…

Discrete Mathematics · Computer Science 2008-04-21 Luciano da Fontoura Costa
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