lec12

# lec12 - MIT OpenCourseWare http/ocw.mit.edu 6.006...

This preview shows pages 1–4. Sign up to view the full content.

MIT OpenCourseWare http://ocw.mit.edu 6.006 Introduction to Algorithms Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Lecture 12 Searching I: Graph Search & Representations 6.006 Spring 2008 Lecture 12: Searching I: Graph Search and Representations Lecture Overview: Search 1 of 3 Graph Search Applications Graph Representations Introduction to breadth-first and depth-first search Readings CLRS 22.1-22.3, B.4 Graph Search Explore a graph e.g., find a path from start vertices to a desired vertex Recall : graph G = ( V, E ) V = set of vertices (arbitrary labels) E = set of edges i.e. vertex pairs ( v, w ) ordered pair = directed edge of graph unordered pair = undirected a b c d a b c UNDIRECTED DIRECTED e.g. V = {a,b,c,d} E = {{a,b},{a,c}, {b,c},{b,d}, {c,d}} V = {a,b,c} E = {(a,c),(b,c), (c,b),(b,a)} Figure 1: Example to illustrate graph terminology 1
Lecture 12 Searching I: Graph Search & Representations 6.006 Spring 2008 Applications: There are many. web crawling ( How Google finds pages ) social networking ( Facebook friend finder ) computer networks ( Routing in the Internet ) shortest paths [next unit] solving puzzles and games checking mathematical conjectures Pocket Cube:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern