The correct statements are: 2-SAT is in P but 3-SAT is NP-complete. SHORTEST-PATH is in P but LONGEST-PATH is NP-complete. EDGE-COVER is in P but VERTEX-COVER is NP-complete. 4-COLORABLE is in P but 3-COLORABLE is NP-complete.

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
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Question 50
The correct statements are:
2-SAT is in P but 3-SAT is NP-complete.
SHORTEST-PATH is in P but LONGEST-PATH is NP-complete.
EDGE-COVER is in P but VERTEX-COVER is NP-complete.
4-COLORABLE is in P but 3-COLORABLE is NP-complete.
Transcribed Image Text:Question 50 The correct statements are: 2-SAT is in P but 3-SAT is NP-complete. SHORTEST-PATH is in P but LONGEST-PATH is NP-complete. EDGE-COVER is in P but VERTEX-COVER is NP-complete. 4-COLORABLE is in P but 3-COLORABLE is NP-complete.
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