PPT-CSC317

1 Equal costs at all levels Root dominated L eave dominated CSC317 2 Master method a subproblems nb size of each subproblem fn cost of dividing problem and combining results of . 1. Insertion/Deletion in binary trees. The operations of insertion and deletion cause the dynamic set represented by . a binary . search tree to change. The data structure must be modified . but preserve the . Breadth-first search tree: If node . v. is discovered after . u. then edge . uv. is added to the tree. We say that . u. is a predecessor (parent) of . v. . A vertex is discovered at most once.. Run time: . algorithms. So far we only looked at . unweighted. graphs. But what if we need to account for weights (and on top of it . negative. weights)?. Definition of a . shortest path problem. : We are given a weighted graph . Overarching principle – Take the choice that looks best at the current moment.. More efficient than dynamic programming . Always make the choice that looks “best” at the moment (just one . choice; . Cost to interview (low . C. i. ). Cost to fire/hire . … (expensive . C. h. ). n. number of candidates. m. hired. O . (. c. i. n. + c. h. m. ). Independent of order of candidates. depends on order of candidates. Problem: Let’s consider the calculation of . Fibonacci . numbers:. F(n) = F(n-2) + F(n-1). with seed values . F(1) = 1, F(2) = 1. or . F(0) = 0, F(1) = 1. What would a series look like:.