# Recent questions tagged graph-search

1 vote
1
Which of the following statement is true? For a directed graph, the absence of back edges in a DFS tree can have cycle. If all edge in a graph have distinct weight then the shortest path between two vertices is unique. The depth of any DFS (Depth First Search) tree rooted at a vertex is atleast as depth of any BFS tree rooted at the same vertex. Both (a) and (c)
2
Let $G$ be a simple undirected graph. Let $T_D$ be a depth first search tree of $G$. Let $T_B$ be a breadth first search tree of $G$. Consider the following statements. No edge of $G$ is a cross edge with respect to $T_D$. (A cross edge in $G$ is between two nodes ... $\mid i-j \mid =1$. Which of the statements above must necessarily be true? I only II only Both I and II Neither I nor II
3
Answer the following: Which one of the following statements (s) is/are FALSE? Overlaying is used to run a program, which is longer than the address space of the computer. Optimal binary search tree construction can be performed efficiently by using dynamic programming ... components of a graph. Given the prefix and postfix walls over a binary tree, the binary tree can be uniquely constructed.
4
Let G be a graph with n vertices and m edges. a. True or false: All its DFS forests (for traversals starting at different vertices) will have the same number of trees? b. True or false: All its DFS forests will have the same number of tree edges and the same number of back edges?
$\alpha - \beta$ cutoffs are applied to Depth first search Best first search Minimax search Breadth first search