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The proof that the Clique Problem is NP-complete involves showing that it is both in the NP complexity class and that it is as hard as any problem in NP. This is typically done by reducing a known NP-complete problem, such as the SAT problem, to the Clique Problem in polynomial time. This reduction demonstrates that if a polynomial-time algorithm exists for the Clique Problem, then one also exists for the known NP-complete problem, which implies that the Clique Problem is NP-complete.

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Is the clique problem NP-complete?

Yes, the clique problem is NP-complete.


Is it possible to prove that the clique problem is NP-complete?

Yes, it is possible to prove that the clique problem is NP-complete.


What is the clique problem and how does it relate to graph theory?

The clique problem is a computational problem in graph theory where the goal is to find a subset of vertices in a graph where every pair of vertices is connected by an edge. This subset is called a clique. In graph theory, cliques are important because they help us understand the structure and connectivity of a graph. The clique problem is a fundamental problem in graph theory and has applications in various fields such as computer science, social networks, and biology.


What is the clique problem and how is it addressed on GeeksforGeeks?

The clique problem is a computational problem in graph theory where the goal is to find a subset of vertices in a graph where every pair of vertices is connected by an edge. On GeeksforGeeks, the clique problem is addressed through various algorithms and solutions provided in articles and tutorials that help programmers understand and implement efficient ways to solve this problem in different scenarios.


How does the reduction from clique to independent set demonstrate the relationship between finding a maximum clique in a graph and finding a maximum independent set in the same graph?

Reducing a clique problem to an independent set problem shows that finding a maximum clique in a graph is equivalent to finding a maximum independent set in the same graph. This means that the solutions to both problems are related and can be used interchangeably to solve each other.

Related Questions

Is the clique problem NP-complete?

Yes, the clique problem is NP-complete.


Is it possible to prove that the clique problem is NP-complete?

Yes, it is possible to prove that the clique problem is NP-complete.


What is the clique problem and how does it relate to graph theory?

The clique problem is a computational problem in graph theory where the goal is to find a subset of vertices in a graph where every pair of vertices is connected by an edge. This subset is called a clique. In graph theory, cliques are important because they help us understand the structure and connectivity of a graph. The clique problem is a fundamental problem in graph theory and has applications in various fields such as computer science, social networks, and biology.


What is the clique problem and how is it addressed on GeeksforGeeks?

The clique problem is a computational problem in graph theory where the goal is to find a subset of vertices in a graph where every pair of vertices is connected by an edge. On GeeksforGeeks, the clique problem is addressed through various algorithms and solutions provided in articles and tutorials that help programmers understand and implement efficient ways to solve this problem in different scenarios.


How does the reduction from clique to independent set demonstrate the relationship between finding a maximum clique in a graph and finding a maximum independent set in the same graph?

Reducing a clique problem to an independent set problem shows that finding a maximum clique in a graph is equivalent to finding a maximum independent set in the same graph. This means that the solutions to both problems are related and can be used interchangeably to solve each other.


Is there a proof that the Longest Path Problem is NP-complete?

Yes, there is a proof that the Longest Path Problem is NP-complete.


What are the release dates for Clique - 2013 I My Clique?

Clique - 2013 I My Clique was released on: USA: 16 January 2013


How does a problem became a scientific problem?

when the problem needs a scientific proof it becomes a scientific problem


Who are the girls on the cover of the clique?

Lisi Harrison wanted the girls on the cover of the clique to represent a clique not necessarily the clique. But you can use your imagination to pick out who looks like who.


Do you have to read the clique summer series before you read PS i loathe you?

No, you do not have to read the Clique Summer Series before reading PS I Loathe You. While there may be some references to events in the earlier series, they are independent storylines within the broader Clique series.


What is the problem in The Clique?

In the Clique movie a free loving girl from Florida moves into the guest house of a rich beauty que. The girl turns the rich girls world upside down from there and on. Her own clique, The Pretty Comittee who rules the girl only private school, and all of her only friends kick her out for Claire ,the girl living in the guest house. At the end of the movie Massie acuses her of a criminal act and she gets back in the clique. Claire luckily becomes friends with everybody in the clique, and was able to be apart of the Pretty Comittee.


Who wrote The Clique?

Lisi Harrison wrote The Clique series