Mar 9, 2023 · Computer networks: Computer networks such as the internet can be represented as directed graphs, with vertices representing devices such as computers or routers and edges representing connections between them.

Dec 28, 2022 · Now, we will show the basic operations for a MultiGraph. Networkx allows us to create both directed and undirected Multigraphs. A Multigraph is a Graph where multiple parallel edges can connect the same nodes. For example, let us create a network of 10 people, A, B, C, D, E, F, G, H, I and J.

Feb 22, 2025 · It is used to establish a pairwise relationship between elements in a given set. graphs are widely used in discrete mathematics, computer science, and network theory to represent relationships between objects. The nodes are sometimes also referred to as vertices and the edges are lines or arcs that connect any two nodes in the graph.

Draw a graph with directed edges using a colormap and different node sizes. Edges have different colors and alphas (opacity). Drawn using matplotlib. Total running time of the script: (0 minutes 0.149 seconds)

Jan 24, 2024 · Among the common classifications are directed graphs, also referred to as digraphs, where edges possess a specific direction, and undirected graphs, where edges lack directionality. Furthermore,...

Aug 30, 2024 · At first, we’ll discuss the relationship between graphs and network theory, on one hand, and graphs and information theory, on the other. In doing so, we’ll learn a definition of entropy for graphs that allows us to compare directed with undirected graphs.

For directed graphs, the same definitions hold with directed edges (in which case we say “a path from node i to node j ”). = [A 2]ij . = [Ar ]ij . An undirected graph is connected if every two nodes in the network are connected by some path in the network.

A directed graph is called a directed acyclic graph (or, DAG) if it does not contain any directed cycles. A first glance, DAGs don’t appear to be particularly interesting.

Example of a directed graph representing a flight network. We can study air transportation by constructing a graph, called a flight network, whose vertices are associated with airports, and whose edges are associated with flights. In graph G, the edges are directed because a given flight has a specific travel direction.

In computer networks, directed graphs are used to model network topology, where vertices represent routers or computers, and directed edges represent communication links between them. Routing algorithms such as Dijkstras algorithm operate on directed graphs to find the shortest paths between nodes.