Chapter
The Connection Between Satisfiability and Graph Theory
1:02:10 - 1:13:17 (11:07)
This episode discusses how the satisfiability problem can be converted into the independent set problem and how the propositional logic problem can be rewritten using operations of Boolean logic. It also explores how various commonly occurring problems in NP have the same expressive power as the satisfiability problem.
Clips
The independent set problem involves finding a set of vertices in a graph where no two are adjacent, while the propositional logic problem can be rewritten as the conjunction of a set of clauses where each clause is a disjunction of variables or negated variables.
1:02:10 - 1:07:06 (04:56)
Summary
The independent set problem involves finding a set of vertices in a graph where no two are adjacent, while the propositional logic problem can be rewritten as the conjunction of a set of clauses where each clause is a disjunction of variables or negated variables.
ChapterThe Connection Between Satisfiability and Graph Theory
Episode#111 – Richard Karp: Algorithms and Computational Complexity
PodcastLex Fridman Podcast
The P versus NP problem explores whether complex problems that are easy to verify can also be solved quickly.
1:07:07 - 1:13:17 (06:10)
Summary
The P versus NP problem explores whether complex problems that are easy to verify can also be solved quickly. If P is not equal to NP, combinatorial problems will not be solvable by efficient algorithms.