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Unformatted text preview: CS 373 Midterm 2 (October 31, 2000) Fall 2000 1. Using any method you like, compute the following subgraphs for the weighted graph below. Each subproblem is worth 3 points. Each incorrect edge costs you 1 point, but you cannot get a negative score for any subproblem. (a) a depthfirst search tree, starting at the top vertex; (b) a breadthfirst search tree, starting at the top vertex; (c) a shortest path tree, starting at the top vertex; (d) the minimum spanning tree. 4 1 6 1 7 8 9 5 3 1 1 1 2 2 2. Suppose you are given a weighted undirected graph G (represented as an adjacency list) and its minimum spanning tree T (which you already know how to compute). Describe and analyze and algorithm to find the secondminimum spanning tree of G , i.e. , the spanning tree of G with smallest total weight except for T . The minimum spanning tree and the secondminimum spanning tree differ by exactly one edge. But which edge is different, and how is it different? Thats what your algorithm has to figure out!figure out!...
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This note was uploaded on 12/15/2009 for the course 942 cs taught by Professor A during the Spring '09 term at University of Illinois at Urbana–Champaign.
 Spring '09
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