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Perform depth-first search on each of the following graphs; whenever theres a choice of

Chapter 3, Problem 3.2

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QUESTION:

Perform depth-first search on each of the following graphs; whenever there's a choice of vertices, pick the one that is alphabetically first. Classify each edge as a tree edge, forward edge, backedge, or cross edge, and give the pre and post number of each vertex

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QUESTION:

Perform depth-first search on each of the following graphs; whenever there's a choice of vertices, pick the one that is alphabetically first. Classify each edge as a tree edge, forward edge, backedge, or cross edge, and give the pre and post number of each vertex

ANSWER:

Step 1 of 3

   1. Tree Edge: It's an edge that appears in the tree created by applying DFS to the graph. 

   2. Forward Edge: It's an edge (u, v) where v is a descendant but not a member of the DFS tree.

   3. Back Edge: It is an edge (u, v) such that v is ancestor of node u but not part of DFS tree.

   4. Cross Edge: It's an edge that connects two nodes without establishing an ancestor-descendant link between them.

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