Homework Answers
DFS: Depth First Search: It goes as deep as possible and backtracks till all the vertices are visited
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please help I will upvote. pts) Show how depth-first search works on the following graph. Assume hat the that the DES procedure considers vertices in alphabetical order. Assume also that eachi adjate...
Show how depth-first search works on the graph of Figure 22.6. Assume that the for loop of lines 5–7 of the DFS proced...
Show how depth-first search
works on the graph of Figure 22.6. Assume that the for loop of
lines 5–7 of the DFS procedure considers the vertices in reverse
alphabetical order, and assume that each adjacency list is ordered
alphabetically. Show the discovery and finishing times for each
vertex, and show the classification of each edge.
DIJKSTRA(G,w,s)
1INITIALIZE-SINGLE-SOURCE(G,s)
2 S ??
3 Q ? V[G]
4 while Q =?
5 do u ? EXTRACT-MIN(Q)
6 S ? S?{u}
7 for each...
Problem 2 [10 points] Depth-First Search Write inside each vertex in the following graph the discovery...
Problem 2 [10 points] Depth-First Search Write inside each vertex in the following graph the discovery and finishing times in the format discovery/finish. Assume DFS considers the vertices in alphabetical order (A,B,C,....X,Y,Z), and assume that each adjacency list is ordered alphabetically W 1/ х у
Give the adjacency matrix representation and the adjacency lists representation for the graph G_1. Assume that...
Give the adjacency matrix representation and the adjacency lists representation for the graph G_1. Assume that vertices (e.g., in adjacency lists) are ordered alphabetically. For the following problems, assume that vertices are ordered alphabetically in the adjacency lists (thus you will visit adjacent vertices in alphabetical order). Execute a Breadth-First Search on the graph G_1, starting on vertex a. Specifiy the visit times for each node of the graph. Execute a Depth-First Search on the graph G_1 starting on vertex...
Show the operation of depth-first search (DFS) on the graph of Figure 1 starting from vertex...
Show the operation of depth-first search (DFS) on the graph of Figure 1 starting from vertex q. Always process vertices in alphabetical order. Show the discovery and finish times for each vertex, and the classification of each edge. (b) A depth-first forest classifies the edges of a graph into tree, back, forward, and cross edges. A breadth-first search (BFS) tree can also be used to classify the edges reachable from the source of the search into the same four categories....
Consider the following directed graph for each of the problems: 1. Perform a breadth-first search on...
Consider the following directed graph for each of the
problems:
1. Perform a breadth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Show the breadth-first search
tree that is generated.
2. Perform a depth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Classify each edge as tree, back
or cross edge. Label each
vertex with its start and finish time.
3. Remove all the...
(c) Simulate breadth first search on the graph shown in Fig HW2Q1c. You can assume that...
(c) Simulate breadth first search on the graph shown in Fig
HW2Q1c. You can assume that the starting vertex is 1, and the
neighbors of a vertex are examined in increasing numerical order
(i.e. if there is a choice between two or more neighbors, we pick
the smaller one). You have to show: both the order in which the
vertices are visited and the breadth first search tree. No
explanations necessary.
(d) On the same graph, i.e. the graph in...
Show how depth-first search
works on the graph of Figure 22.6. Assume that the for loop of
lines 5–7 of the DFS procedure considers the vertices in reverse
alphabetical order, and assume that each adjacency list is ordered
alphabetically. Show the discovery and finishing times for each
vertex, and show the classification of each edge.
DIJKSTRA(G,w,s)
1INITIALIZE-SINGLE-SOURCE(G,s)
2 S ??
3 Q ? V[G]
4 while Q =?
5 do u ? EXTRACT-MIN(Q)
6 S ? S?{u}
7 for each...
Problem 2 [10 points] Depth-First Search Write inside each vertex in the following graph the discovery and finishing times in the format discovery/finish. Assume DFS considers the vertices in alphabetical order (A,B,C,....X,Y,Z), and assume that each adjacency list is ordered alphabetically W 1/ х у
Give the adjacency matrix representation and the adjacency lists representation for the graph G_1. Assume that vertices (e.g., in adjacency lists) are ordered alphabetically. For the following problems, assume that vertices are ordered alphabetically in the adjacency lists (thus you will visit adjacent vertices in alphabetical order). Execute a Breadth-First Search on the graph G_1, starting on vertex a. Specifiy the visit times for each node of the graph. Execute a Depth-First Search on the graph G_1 starting on vertex...
Show the operation of depth-first search (DFS) on the graph of Figure 1 starting from vertex q. Always process vertices in alphabetical order. Show the discovery and finish times for each vertex, and the classification of each edge. (b) A depth-first forest classifies the edges of a graph into tree, back, forward, and cross edges. A breadth-first search (BFS) tree can also be used to classify the edges reachable from the source of the search into the same four categories....
Consider the following directed graph for each of the
problems:
1. Perform a breadth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Show the breadth-first search
tree that is generated.
2. Perform a depth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Classify each edge as tree, back
or cross edge. Label each
vertex with its start and finish time.
3. Remove all the...
(c) Simulate breadth first search on the graph shown in Fig
HW2Q1c. You can assume that the starting vertex is 1, and the
neighbors of a vertex are examined in increasing numerical order
(i.e. if there is a choice between two or more neighbors, we pick
the smaller one). You have to show: both the order in which the
vertices are visited and the breadth first search tree. No
explanations necessary.
(d) On the same graph, i.e. the graph in...
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