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# FM Cycles

## 2.1 Introduction to Walks

### Walks

• A walk is a sequence of edges linking connected vertices in a graph.
• Walks can have repeated vertices and edges.
• Walks can be denoted in a written form by listing the vertices, in order, with a dash between each.
• Walks are shown graphically as a continuous line along each relevant edge. Arrows are placed along the line to show direction.

Example

The walk A-C-D-A-C is shown in the below graph:

### Connected Graph

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