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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.

p = {Seattle, Salt Lake City, San Francisco, Dallas} p = {Seattle, Salt Lake City, Dallas, San Francisco, Seattle} A cycle is a path that starts and ends at the same node: p = {Seattle, Salt Lake City, Dallas, San Francisco, Seattle} A simple cycleis a cycle that repeats no verticesexcept that the first vertex is also the last

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