## Key Elements of a graph/network

**Vertex:** are the points on the graph/network.

**Edge:** are the connections to each vertex.

**Loop:** An edge that connects to the vertex itself.

**Degree of a vertex:** The number of edges that connect to a vertex.

**Weight:** The number on the edge of a network/graph.

*[Essential Further Mathematics 4ed 2012 (Fig 23.4)]*

A, B, D are **vertices**.

Lines connecting A, B, D are **edges**.

Circle that forms into D is a **loop**.

Vertex A has a degree of 3 because there are 3 edges going into it.

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