Edge which connects a vertex to an ancestor in the DFS tree is termed asa)Forward edgesb)None of the mentionedc)Cross edgesd)Back edges

Edge which connect a vertex to a vertex that is neither its ancestor nor its descendant.a)Forward edgesb)Back edgesc)Cross edgesd)None of the mentioned

dge which connect a vertex to a vertex that is neither its ancestor nor its descendant.a)Cross edgesb)None of the mentionedc)Back edgesd)Forward edges

The result of a depth-first search of a graph can be conveniently described in terms of a spanning tree of the vertices reached during the search. Based on this spanning tree, the edges of the original graph can be divided into three classes: forward edges, which point from a node of the tree to one of its descendants, back edges, which point from a node to one of its ancestors, and cross edges, which do neither. Sometimes tree edges, edges which belong to the spanning tree itself, are classified separately from forward edges. If the original graph is undirected then all of its edges are tree edges or back edges.

A DFS of a directed graph always produces the same number of tree edges, i.e., independent of the order in which vertices are considered for DFS. State true or false.a)Trueb)False

If the DFS tree does not have any back edges, then there are no cycles in the graph. Group of answer choices True False