Which of the following is/are True? I) If P + NP, 3-CLIQUE will be in NP-Complete, but not in NP. II) Hamiltonian path problem is in NP-Complete, as it is in NP and a NP problem can be reduced to Hamiltonian path problem. II) Halting problem is NP-Complete as well as NP-Hard. IV) Euler's circuit problem is in NP, as it can't be solved in polynomial time. A) III and IV B) only II C) only IV D) I and II

Which of the following is/are True? I) If P + NP, 3-CLIQUE will be in NP-Complete, but not in NP. II) Hamiltonian path problem is in NP-Complete, as it is in NP and a NP problem can be reduced to Hamiltonian path problem. II) Halting problem is NP-Complete as well as NP-Hard. IV) Euler's circuit problem is in NP, as it can't be solved in polynomial time. A) III and IV B) only II C) only IV D) I and II

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Bounded Summation

In mathematics, the summation is the process of adding a sequence of numeric values, known as addends and their result is called sum or total. The term summation refers to the addition or sum of two or more numbers or units. For example-

Question

Which of the following is/are True?
I) If P + NP, 3-CLIQUE will be in NP-Complete, but not in NP.
II) Hamiltonian path problem is in NP-Complete, as it is in NP and a NP problem can be reduced
to Hamiltonian path problem.
II) Halting problem is NP-Complete as well as NP-Hard.
IV) Euler's circuit problem is in NP, as it can't be solved in polynomial time.
A) III and IV
B) only II
C) only IV
D) I and II

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