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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 2 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
1. Prove that the class NP of languages is closed under union, intersection, concatenation, and Kleene star. Discuss the closure of NP under complement.
2. Show that any language in NP can be decided by an algorithm running in time 2O(nk)for some constant k.
3. A hamiltonian path in a graph is a simple path that visits every vertex exactly once. Show that the language HAM-PATH = {(G, u, ν} : there is a Hamiltonian path from u to ν in graph G} belongs to NP.
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