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Toward fair graph neural networks via real counterfactual samples
Graph neural networks (GNNs) have become pivotal in various critical decision-making scenarios due to their exceptional performance. However,...
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Evolution of the Internet Topology and Traffic Dynamics of Data Packets
In recent years, the Internet has become one of the most influential media in our daily life, going beyond in its role as the basic infrastructure in... -
4. Stability of Nonlinear Switched and Impulsive Systems
In this chapter, we shall study the stability of nonlinear switched and impulsive systems of the form... -
Synchronization in Complex Networks
The study of complex systems pervades all of science, from cell biology to ecology, from computer science to meteorology. A paradigm of a complex... -
Data Traffic, Topology and Congestion
We consider the interaction between the topology of a network and the tra.c carried along its channels. The binding elements between the topology and... -
1. Examples and Modelling of Switched and Impulsive Systems
When you begin to read this book, you may ask: “what is a switched and impulsive system?” This is a question that may be best answered through... -
9. Switched Scalable Video Coding Systems
Scalable video coding means that a video sequence is only encoded once and the coded bitstream has the capability of sending any sub-bitstream... -
Critical Phenomena in a Small World
We consider the behavior of various systems on a small-world network near a critical point. Our starting point is a different, nonrandom system with... -
Who Is the Best Connected Scientist?A Study of Scientific Coauthorship Networks
Using data from computer databases of scientific papers in physics, biomedical research, and computer science, we have constructed networks of... -
Scholarly Information Network
I review the background and some recent trends of a particular scholarly information network, ar**v.org, and discuss some of its implications for new... -
Information Theory of Complex Networks: On Evolution and Architectural Constraints
Complex networks are characterized by highly heterogeneous distributions of links, often pervading the presence of key properties such as robustness... -
The Small World Phenomenonin Hybrid Power Law Graphs
The small world phenomenon, that consistently occurs in numerous existing networks, refers to two similar but different properties — small average... -
Extremal Properties of Random Structures
The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed... -
Spectral Analysis of Random Networks
We review a general approach that describes the spectra of eigenvalues for random graphs with a local tree-like structure. The exact equations to the... -
On the Analysis of Backtrack Proceduresfor the Colouring of Random Graphs
Backtrack search algorithms are procedures capable of deciding whether a decision problem has a solution or not through a sequence of trials and... -
Attacks and Cascades in Complex Networks
This paper reviews two problems in the security of complex networks: cascades of overload failures on nodes and range-based attacks on links.... -
Theoretical Neuroanatomy:Analyzing the Structure, Dynamics,and Function of Neuronal Networks
The mammalian brain is an extraordinary object: its networks give rise to our conscious experiences as well as to the generation of adaptive behavior... -
Tomography and Stability of Complex Networks
We study the structure of generalized random graphs with a given degree distribution P(k), and review studies on their behavior under both random... -
Topology, Hierarchy, and Correlations in Internet Graphs
We present a statistical analysis of different metrics characterizing the topological properties of Internet maps, collected at two different... -
Emergence of Complexity in Financial Networks
We present here a brief summary of the various possible applications of network theory in the field of finance. Since we want to characterize...