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Student No : 101030382 Can i get help with this discrete structure questions ple

ID: 3844026 • Letter: S

Question

Student No : 101030382

Can i get help with this discrete structure questions please?

Questions 8-9 all refer to the undirected graph specified below: 8. Given the graph G (V, E) in the figure above, compute the breadth-first search tree starting from the vertex that is labelled with the third-to-last digit in your student number. To clarify, if your student number is 100123456, start your breadth-first search tree from vertex 4. You must provide your search tree as an adjacency list; do not "draw" your search trees. Whenever you have a "choice" of which adjacent vertex to consider, you must consider them in numerical order from least to greatest.

Explanation / Answer

Student No : 101030382

So start with 3(third to last digit)

Adjacency list

0 - 4- 6- 9

1-0 - 2-4

2 - 1 - 3- 4- 5

3 - 2 - 5 -8

4 - 0- 1 - 2 - 7

5 - 2 - 3 - 6 - 8

6 - 0 - 5 - 7

7 - 4 - 5 - 6 - 8

8 - 3 - 5 - 7 -9

9 - 0 - 8

8. Depth-first Search

DFS: 3                     Stack: 3<-

DFS: 3 2                    Stack: 3 2<-

DFS: 3 2 1                   Stack: 3 2 1<-

DFS: 3 2 1 0                   Stack: 3 2 1 0<-

DFS: 3 2 1 0 4                    Stack: 3 2 1 0 4<-

DFS: 3 2 1 0 4 7                   Stack: 3 2 1 0 4 7<-

DFS: 3 2 1 0 4 7 5                Stack: 3 2 1 0 4 7 5<-

DFS: 3 2 1 0 4 7 5 6                    Stack: 3 2 1 0 4 7 5 6<-

DFS: 3 2 1 0 4 7 5 6 8                   Stack: 3 2 1 0 4 7 5 6 8<-

DFS: 3 2 1 0 4 7 5 6 8 9                    Stack: 3 2 1 0 4 7 5 6 8 9<-

DFS: 3 2 1 0 4 7 5 6 8 9    

9.

Breadth First Search

BFS: 3                             Queue: 2 5 8

BFS: 3 2                            Queue:   5 8 1 4

BFS: 3 2 5                           Queue:   8 1 4 6

BFS: 3 2 5 8                            Queue: 1 4 6 7 9

BFS: 3 2 5 8 1                       Queue: 4 6 7 9

BFS: 3 2 5 8 1 4                       Queue: 6 7 9 0

BFS: 3 2 5 8 1 4 6                            Queue: 7 9 0

BFS: 3 2 5 8 1 4 6 7                            Queue: 9 0

BFS: 3 2 5 8 1 4 6   7 9                        Queue: 0

BFS: 3 2 5 8 1 4 6 7 9 0                          Queue: empty

BFS: 3 2 5 8 1 4 6 7 9 0