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Graph Algorithm #1: Topological Sort

Lecture 20: Topo-Sort and dijkstra 's Greedy Idea Items on Today's Lunch Menu: Topological Sort (ver. 1 & 2): Gunning for linear time . Finding Shortest Paths Breadth-First Search dijkstra 's Method: Greed is good! Covered in Chapter 9 in the textbook R. Rao, CSE 326 Some slides based on: CSE 326 by S. Wolfman, 2000 1. Graph Algorithm #1: Topological Sort 322. 143. 321. 142 326. 370 341. Problem: Find an order in which all these courses can 378. be taken. 421. Example: 142 143 378 401. 370 321 341 322. 326 421 401. R. Rao, CSE 326 2. Topological Sort Definition Topological sorting problem: given digraph G = (V, E) , find a linear ordering of vertices such that: for all edges (v, w) in E, v precedes w in the ordering B. C. A. F. D E. R. Rao, CSE 326 3. Topological Sort Topological sorting problem: given digraph G = (V, E) , find a linear ordering of vertices such that: for any edge (v, w) in E, v precedes w in the ordering B.

Edsger W. Dijkstra, Letter to the Editor, Communications of the ACM, Vol. 11, No. 3, March 1968, pp. 147-148. “For a number of years I have been familiar with the observation that the quality of programmers is a decreasing function of the density of go to statementsin the programs

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