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Graph Terminology I

Explore fundamental graph terminology such as adjacency, degree, and the differences between walks, trails, and paths. Understand how graphs are classified as sparse or dense, laying the groundwork for studying graph algorithms.

Adjacency

For an edge e=(u,v)e = (u, v) that connects node uu to node vv, we say that vv is adjacent to uu, or that vv is a neighbor of uu. The edge ee is called incident to both uu and vv.

The number of neighbors of a node vv is called the degree of vv, written deg(vv ...