edges
connections between points
In mathematics, an edge refers to the line segment connecting two vertices (endpoints) in a graph. It is also called a link or a branch. In a directed graph, the edge has a direction from one vertex to the other, whereas in an undirected graph, the edge has no direction.
Edges are used to represent relationships between the vertices of a graph. For example, in a social network, the vertices could represent people and the edges could represent connections between them such as friendships or following relationships. In a transportation network, the vertices could represent locations and the edges could represent roads, rails or air routes connecting them.
The number of edges in a graph is an important aspect to consider. The degree of a vertex is defined as the number of edges that are connected to it. In a directed graph, the indegree of a vertex refers to the number of edges pointing into the vertex, while the outdegree refers to the number of edges pointing away from the vertex.
Edges can also have weights or values associated with them. For example, in a transportation network, the weight of an edge could represent the distance or time it takes to traverse the edge. In a social network, the weight of an edge could represent the strength of a relationship between two people or the frequency of communication between them.
Overall, edges are a crucial component of graphs and are used to represent a variety of relationships and connections.
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