Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > In a connected graph, a bridge is an edge who...
Start Learning for Free
In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?
- a)A tree has no bridge
- b)A bridge cannot be part of a simple cycle
- c)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)
- d)A graph with bridges cannot have a cycle
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In a connected graph, a bridge is an edge whose removal disconnects a ...
A bridge in a graph cannot be a part of cycle as removing it will not create a disconnected graph if there is a cycle.
Most Upvoted Answer
In a connected graph, a bridge is an edge whose removal disconnects a ...
Explanation:
To determine which statement is true, let's analyze each option one by one.
a) A tree has no bridge:
This statement is false. A tree can have bridges. In a tree, every edge is a bridge except for the edges that are part of a cycle. Removing any edge from a tree will disconnect it.
b) A bridge cannot be part of a simple cycle:
This statement is true. A bridge is defined as an edge whose removal disconnects the graph. If a bridge is part of a simple cycle, then it means that there is an alternative path between the two vertices connected by the bridge. Therefore, removing the bridge will not disconnect the graph, making it not a bridge.
c) Every edge of a clique with size 3 is a bridge (A clique is any complete subgraph of a graph):
This statement is false. In a clique of size 3, removing any edge will not disconnect the graph. The remaining two edges will still form a complete subgraph, and there will be a path between any two vertices.
d) A graph with bridges cannot have a cycle:
This statement is false. A graph with bridges can still have cycles. Bridges are edges that, when removed, disconnect the graph. However, removing a bridge does not necessarily remove all cycles from the graph. There can still be other paths that form cycles even after removing the bridges.
Therefore, the correct statement is b) A bridge cannot be part of a simple cycle, as explained above.
To determine which statement is true, let's analyze each option one by one.
a) A tree has no bridge:
This statement is false. A tree can have bridges. In a tree, every edge is a bridge except for the edges that are part of a cycle. Removing any edge from a tree will disconnect it.
b) A bridge cannot be part of a simple cycle:
This statement is true. A bridge is defined as an edge whose removal disconnects the graph. If a bridge is part of a simple cycle, then it means that there is an alternative path between the two vertices connected by the bridge. Therefore, removing the bridge will not disconnect the graph, making it not a bridge.
c) Every edge of a clique with size 3 is a bridge (A clique is any complete subgraph of a graph):
This statement is false. In a clique of size 3, removing any edge will not disconnect the graph. The remaining two edges will still form a complete subgraph, and there will be a path between any two vertices.
d) A graph with bridges cannot have a cycle:
This statement is false. A graph with bridges can still have cycles. Bridges are edges that, when removed, disconnect the graph. However, removing a bridge does not necessarily remove all cycles from the graph. There can still be other paths that form cycles even after removing the bridges.
Therefore, the correct statement is b) A bridge cannot be part of a simple cycle, as explained above.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Top Courses for Computer Science Engineering (CSE)View all
In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer?
Question Description
In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer?.
In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is True?a)A tree has no bridgeb)A bridge cannot be part of a simple cyclec)Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)d)A graph with bridges cannot have a cycleCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup