Components of a graph (or network) are the distinct maximally connected subgraphs. A directed graph is − connected if the underlying undirected graph is connected (i.e., ignoring the directions of edges). …

CNNs and MLPs are specifically designed to handle non-Euclidean data, such as graphs and hyperbolic spaces, without any modifications.

Graph neural networks (GNNs) compose layers of graph filters and point-wise non-linearities

Introduction to Network Theory What is a Network? Network = graph Informally a graph is a set of nodes joined by a set of lines or arrows.

An (undirected) graph (or network) G =(V,E) consists of a set of vertices (or nodes) V together with an edge set E ⊂ Sym(V × V). The elements of E are called edges or links. The number of elements in V …

Abstract: This study explores the Applications of Graph Theory in Network Analysis. Graph theory provides a foundational framework for analysing and understanding complex networks across …

Basic tool: graph theory, the mathematical study of graphs/networks. I We use the terms “graph” and “network” interchangeably. This lecture: Basic graph theory language and concepts for describing …