'Find shortest path' presentation slideshows

CSE 326: Data Structures Graph Algorithms Graph Search Lecture 23

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CSE 326: Data Structures Graph Algorithms Graph Search Lecture 23

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Spatial Networks

Spatial Networks. Outline. Motivation, and use cases Example spatial networks Conceptual model Need for SQL extensions CONNECT statement RECURSIVE statement Storage and data structures Algorithms for connectivity query Algorithms for shortest path. Navigation Systems. Historical

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CS 3343: Analysis of Algorithms

CS 3343: Analysis of Algorithms. Lecture 17: Intro to Dynamic Programming. In the next few lectures. Two important algorithm design techniques Dynamic programming Greedy algorithm Meta algorithms, not actual algorithms (like divide-and-conquer) Very useful in practice

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Outline

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Graph Algorithms

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Similarity Joins for Strings and Sets

Similarity Joins for Strings and Sets. William Cohen. WHIRL approach:. SELECT R.a,S.a,S.b,T.b FROM R,S,T WHERE R.a=S.a and S.b=T.b. SELECT R.a,S.a,S.b,T.b FROM R,S,T WHERE R.a~S.a and S.b~T.b (~ TFIDF-similar). Query Q. WHIRL approach:. Link items as needed by Q.

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Shortest Path

Shortest Path. HKOI 2006 March 11, 2006. Graph. Graph G = (V, E) Vertex/Node V Number |V| or simply V Degree deg[ v ],in-deg[ v ],out-deg[ v ] Edge E Number |E| or simply E Direction e = ( u , v ) or { u , v } Weight w e , w uv E ? V 2 i.e. deg[ v ] ? |V|.

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CprE 545: Fault Tolerant Systems

CprE 545: Fault Tolerant Systems. Finding disjoint paths in a network. Problem statement. Given a network and a source destination pair, find two paths that do not share any links or nodes. Variations on problem. Weaken constrains to only link disjoint

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DYNAMIC PROGRAMMING

DYNAMIC PROGRAMMING. Algorithmic Paradigms. Greedy. Build up a solution incrementally, myopically optimizing some local criterion.

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Dijkstra's Shortest Path Algorithm

Dijkstra's Shortest Path Algorithm. Find shortest path from s to t. 2. 24. 3. 9. s. 18. 14. 6. 2. 6. 4. 19. 30. 11. 5. 15. 5. 6. 16. 20. t. 7. 44. Dijkstra's Shortest Path Algorithm. S = { } PQ = { s, 2, 3, 4, 5, 6, 7, t }. ?. ?. 2. 24. 3. 0. 9.

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Dijkstra's Shortest Path Algorithm

Dijkstra's Shortest Path Algorithm. Find shortest path from s to t. 2. 24. 3. 9. s. 18. 14. 6. 2. 6. 4. 19. 30. 11. 5. 15. 5. 6. 16. 20. t. 7. 44. Dijkstra's Shortest Path Algorithm. S = { } PQ = { s, 2, 3, 4, 5, 6, 7, t }. ?. ?. 2. 24. 3. 0. 9.

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Find shortest path from s to t.

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Dijkstra's Shortest Path Algorithm

Dijkstra's Shortest Path Algorithm. Find shortest path from s to t. 2. 24. 3. 9. s. 18. 14. 6. 2. 6. 4. 19. 30. 11. 5. 15. 5. 6. 16. 20. t. 7. 44. Dijkstra's Shortest Path Algorithm. S = { } PQ = { s, 2, 3, 4, 5, 6, 7, t }. ?. ?. 2. 24. 3. 0. 9.

309 views • 20 slides

Dijkstra's Shortest Path Algorithm

Dijkstra's Shortest Path Algorithm. Find shortest path from s to t. 2. 23. 3. 9. s. 18. 14. 6. 2. 6. 4. 19. 30. 11. 5. 15. 5. 6. 16. 20. t. 7. 44. Dijkstra's Shortest Path Algorithm. S = { } PQ = ( s, 2, 3, 4, 5, 6, 7, t ). ?. ?. 2. 23. 3. 0. 9.

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Facilities Planning

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Apache Giraph

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