منابع مشابه
Introduction to Np-completeness
We use time-bounded (deterministic and nondeterministic) Turing machines to study computational complexity of decision problems. In this model, a Turing machine has two different halting states, called the accepting state and the rejecting state, respectively. We say that a Turing machine M is bounded by time T if for any input x, M on x always halts in T (|x|) moves (steps). If M is determinis...
متن کاملNP Completeness , Part 2
Example 1 Undirected Hamiltonian Path (UHP) and Undirected Hamiltonian Circuit (UHC) are the same problems as the corresponding problems for directed graphs, but the new problems are for undirected graphs. Claim 2 Given a polynomial time algorithm for Undirected Hamiltonian Path (UHP) there is a polynomial time algorithm for Directed Hamiltonian Path. 1. A DHP builds the triple (H, p, q), where...
متن کاملNP-Completeness and Disjoint NP-Pairs
We study the question of whether the class DisjNP of disjoint pairs (A,B) of NPsets contains a complete pair. The question relates to the question of whether optimal proof systems exist, and we relate it to the previously studied question of whether there exists a disjoint pair of NP-sets that is NP-hard. We show under reasonable hypotheses that nonsymmetric disjoint NP-pairs exist, which provi...
متن کاملTuring Machines , P , NP and NP - completeness
I assume that most students have encountered Turing machines before. (Students who have not may want to look at Sipser’s book [3].) A Turing machine is defined by an integer k ≥ 1, a finite set of states Q, an alphabet Γ, and a transition function δ : Q×Γk → Q×Γk−1×{L, S,R}k where: • k is the number of (infinite, one-dimensional) tapes used by the machine. In the general case we have k ≥ 3 and ...
متن کاملNotes on NP Completeness
Here are some notes which I wrote to try to understand what NP completeness means. Most of these notes are taken from Appendix B in Douglas West’s graph theory book, and also from wikipedia. There’s nothing remotely original about these notes. I just wanted all this material to filter through my brain and onto paper. I also wanted to collect everything together in a way I like. Here’s what thes...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2020
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2020.04.007