1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lara [203]
1 year ago
11

Suppose we compute a depth-first search tree rooted at u and obtain a tree t that includes all nodes of g.

Computers and Technology
1 answer:
Temka [501]1 year ago
5 0

G is a tree, per node has a special path from the root. So, both BFS and DFS have the exact tree, and the tree is the exact as G.

<h3>What are DFS and BFS?</h3>

An algorithm for navigating or examining tree or graph data structures is called depth-first search. The algorithm moves as far as it can along each branch before turning around, starting at the root node.

The breadth-first search strategy can be used to look for a node in a tree data structure that has a specific property. Before moving on to the nodes at the next depth level, it begins at the root of the tree and investigates every node there.

First, we reveal that G exists a tree when both BFS-tree and DFS-tree are exact.

If G and T are not exact, then there should exist a border e(u, v) in G, that does not belong to T.

In such a case:

- in the DFS tree, one of u or v, should be a prototype of the other.

- in the BFS tree, u and v can differ by only one level.

Since, both DFS-tree and BFS-tree are the very tree T,

it follows that one of u and v should be a prototype of the other and they can discuss by only one party.

This means that the border joining them must be in T.

So, there can not be any limits in G which are not in T.

In the two-part of evidence:

Since G is a tree, per node has a special path from the root. So, both BFS and DFS have the exact tree, and the tree is the exact as G.

The complete question is:

We have a connected graph G = (V, E), and a specific vertex u ∈ V.

Suppose we compute a depth-first search tree rooted at u, and obtain a tree T that includes all nodes of G.

Suppose we then compute a breadth-first search tree rooted at u, and obtain the same tree T.

Prove that G = T. (In other words, if T is both a depth-first search tree and a breadth-first search tree rooted at u, then G cannot contain any edges that do not belong to T.)

To learn more about  DFS and BFS, refer to:

brainly.com/question/13014003

#SPJ4

You might be interested in
Without using any additional variables, and without changing the values of ndays or the elements of the parkingTickets array, wr
dusya [7]

Answer:

Explanation:

mostTickets=0;

for (k=0; k< ndays; k++){

if (parkingTickets[k]>mostTickets) mostTickets=parkingTickets[k];

}

7 0
3 years ago
Show me how to create an argument essayshow me how to create an argument essay ​
Lady_Fox [76]

Answer:

1 Introduce the problem.

2 Explain your perspective.

3 Explain your opponent's perspective. Refute their points one-by-one as you go.

4 Present your evidence.

5 Conclude your argument.

1 Introduce the problem.

2 Explain your opponent's perspective first. ...

3 Explain your perspective.

Explanation:

3 0
2 years ago
_____ rows indicate that there is different formatting for odd and even rows.
Sladkaya [172]
Banded rows indicate that there are different formatting for odd and even rows.
5 0
3 years ago
JAVA Code:
Burka [1]
Dear ,you should ask it on stackoverflow and geekforgeelks , not here
6 0
3 years ago
How does the game Clash Royale keep players continuously active and engaged?
lana [24]

Answer: a

Explanation: because they have to beat and check the players to move on

4 0
3 years ago
Other questions:
  • Which of these statements regarding mobile games is true? A. They are typically played indoors. B. They have detailed environmen
    7·1 answer
  • Christine wants to send a quick communication to all department managers. She should send a _____. report
    13·2 answers
  • Which motherboard slot has direct access to the north bridge?
    7·1 answer
  • What are informational sessions?
    10·1 answer
  • In addition to key executives, there are other positions in a company that may be considered critical, or whose loss will be dif
    5·1 answer
  • Write the definition of a function named printstarbucks that receives a non-negative integer n and prints a line consisting of n
    6·1 answer
  • Hulu suggestions? I just got it and I wanna know what's good :)
    5·2 answers
  • 75 pts. Conduct online research about 10 of the most famous and dangerous computer viruses that threatened computer networks aro
    13·1 answer
  • 2. To ________
    7·1 answer
  • In how many positions are there nucleotide differences between your query sequence and the sequence of accession AY259214.1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!