Tree Edge
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Traversal of graphs
There are many ways to traverse a graph. For example through breadth-first search and depth-first search. Exploring it with a breadth-first search has interesting properties like implicitly computing the distance from a source $s$ to all the reachable vertices. Exploring it with a depth-first search has properties about edges like finding back edges, forward edges and cross edges.
This article has implementations for both BFS and DFS.