Clique Decision problem in advance data structure and algorithms
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🎯 Exam Preparation Kit
Clique Decision Problem Prep
English 10 leveled MCQs Free
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8 marks Long answer
What are some common heuristic methods used to approximate solutions to the Clique Problem?
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Common heuristics include greedy algorithms, genetic algorithms, and simulated annealing.
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7 marks Long answer
Discuss the impact of the Clique Problem on the field of algorithm design.
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It drives the development of approximation algorithms and heuristics due to its computational intractability.
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6 marks Long answer
Explain the relationship between the Clique Decision Problem and other NP-Complete problems.
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The Clique Decision Problem can be reduced from various NP-Complete problems, establishing its central role in complexity theory.
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5 marks Long answer
Outline the significance of the Clique Decision Problem in real-world applications.
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It has applications in social network analysis, bioinformatics, and computational biology for finding groups with shared characteristics.
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4 marks Medium answer
Describe a basic algorithm to find a clique in a graph.
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A basic algorithm involves checking all subsets of vertices to see if they form a clique.
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4 marks Medium answer
What is a polynomial-time reduction in the context of the Clique Decision Problem?
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A polynomial-time reduction transforms one problem into another in polynomial time, demonstrating their equivalence in complexity.
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3 marks Medium answer
Explain why the Clique Decision Problem is NP-Complete.
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It is NP-Complete because it can be verified in polynomial time and can be reduced from another NP-Complete problem.
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3 marks Medium answer
Differentiate between a clique and an independent set in a graph.
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A clique consists of vertices that are all connected, while an independent set consists of vertices that are not connected.
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1 marks Short answer
Define a clique in a graph.
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A clique is a subset of vertices such that every two distinct vertices are adjacent.
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1 marks Short answer
What is the Clique Decision Problem?
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The Clique Decision Problem asks whether a graph contains a clique of a given size.
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