Minimum Spanning Trees - Jeff Erickson
The Only Minimum Spanning Tree Algorithm algorithm in place of simple weight comparisons. SE takes as input four integers i, j,k,l, representing four (not necessarily distinct) vertices, and decides which of the two edges (i, j) and (k,l) has “smaller” weight.(Because
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Dynamic Programming
jeffe.cs.illinois.edurecursion tree for RF as a binary tree of additions, with only 0s and 1s at the leaves. Since the eventual output is F n, exactly F n of the leaves must have value 1; these leaves represent the calls to RR(1). An easy inductive argument (hint, hint) implies that RF(0) is …
Greedy Algorithms - University of Illinois Urbana-Champaign
jeffe.cs.illinois.eduThe university’s registration computer won’t let you register for overlapping classes, and no one in the department knows how to override this “feature”. Which classes should you take? More formally, suppose you are given two arrays S[1..n] and F[1..n] listing the start and finish times of each class; to be concrete, we can assume that ...
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