Download presentation

Presentation is loading. Please wait.

Published byChristopher Lucas Modified over 3 years ago

1
Discussion #31 1/11 Discussion #31 Adjacency Lists; Breadth-First Search & Depth-First Search

2
Discussion #31 2/11 Topics Adjacency list representation Breadth-First Search (BFS) Depth-First Search (DFS)

3
Discussion #31 3/11 Adjacency Lists For directed graphs: b a c 1 a123 2 b3 3 c2 bc cb cbaa Simple Notation { (a,a), (a,b), (a,c), (b,c), (c,b) } 010 c 100 b 111 a cba

4
Discussion #31 4/11 Adjacency Lists for Undirected and Weighted Graphs Undirected Graphs: aabc bac cab Make each edge (except loops) go both ways. b a c 5 3 7 1 Weighted Graphs: a(a,1)(b,5)(c,3) b(a,5)(c,7) c(a,3)(b,7) - add additional field to node - node-weight pairs

5
Discussion #31 5/11 Breadth-First Search (BFS)

6
Discussion #31 6/11 BFS Algorithm aabc bac cabd dc queue: b c d a a b c d n nodes O(n) ~ 2m edges O(m) = O(n+2m) = O(m) if m>>n Undirected edges: each edge twice

7
Discussion #31 7/11 Depth-First Search (DFS)

8
Discussion #31 8/11 DFS Algorithm aabc bac cabd dc n nodes O(n) ~ 2m edges O(m) = O(n+2m) = O(m) if m>>n stack: b c d a a b c d

9
Discussion #31 9/11 BFS vs. DFS ab ec f d BFS Queue aabce bacd cabf db ea fc b c e d f Done! a BFS Order: a b c e d f

10
Discussion #31 10/11 BFS vs. DFS aabce bacd cabf db ea fc BFS Queue b c e df Done! BFS Order: a b c e d f a DFS Stack a b c f d e pop ab ec f d DFS Order: a b c f d e Done!

11
Discussion #31 11/11 a bcd efghi jk l mn BFS & DFS with Directed Graphs BFS DFS a bcd efghi jk l mn a,b,c,d,e,f,g,h,i,j,k,l,m,n Same as before, by chance a,b,e,j,f,k,l,h,c,g,d,i,m,n Not same as before

Similar presentations

OK

Data Structure and Algorithms (BCS 1223) GRAPH. Introduction of Graph A graph G consists of two things: 1.A set V of elements called nodes(or points or.

Data Structure and Algorithms (BCS 1223) GRAPH. Introduction of Graph A graph G consists of two things: 1.A set V of elements called nodes(or points or.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on business cycle phases and their transitional dynamics Ppt on review writing software Ppt on job rotation Ppt on 2nd world war Ppt on soft skills for engineering students Download ppt on energy and environment Ppt on db2 mainframes definition Ppt on electric meter testing michigan Ppt on video teleconferencing system Ppt on content addressable memory test