Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 16.1, Problem 1E
Program Plan Intro

To give a dynamic-programming algorithm for the activity-selectin problem, based on recurrence in 16.2 and to compare the running time of it to the running time of GREEDY-ACTIVITY-SELECTOR.

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Determine P(A x B) – (A x B) where A = {a} and B = {1, 2}.
Computer Science Consider the d-Independent Set problem: Input: an undirected graph G = (V,E) such that every vertex has degree less or equal than d. Output: The largest Independent Set.     Describe a polynomial time algorithm Athat approximates the optimal solution by a factor α(d). Your must write the explicit value of α, which may depend on d. Describe your algorithm in words (no pseudocode) and prove the approximation ratio α you are obtaining. Briefly explain why your algorithm runs in polytime.
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