Search for tag: "cs598jge"

∞. Chasing puppies

a. The puppy problem b. Special cases: blind vs.…

From  Jeff Erickson 25 plays 0  

26. Planarizing and separating surface maps

a. Shortest non-separating cycles b.…

From  Jeff Erickson 10 plays 0  

25. Approximation schemes via slicing

a. Carvings b. Branch decompositions c. Dynamic…

From  Jeff Erickson 19 plays 0  

24. Maximum flows in surface maps

a. 1-chains = pseudoflows, circulations b.…

From  Jeff Erickson 27 plays 0  

23. Minimum cuts in surface maps

a. Even subgraphs, cycle space, edge cuts, and…

From  Jeff Erickson 29 plays 0  

22. Shortest nontrivial cycles in surfaces

a. Planarization b. Contractible versus…

From  Jeff Erickson 45 plays 0  

21. Homotopy testing on surfaces

a. Modeling curves on surfaces as walks in maps…

From  Jeff Erickson 52 plays 0  

20. Surface Classification

a. Kerékjártó-Rado theorem…

From  Jeff Erickson 33 plays 0  

19. Surface Maps

a. 2-manifolds b. Polygonal schemata c. Cellular…

From  Jeff Erickson 31 plays 0  

18. Faster minimum cuts and maximum flows

a. FR-Dijkstra summary b. O(n log log n) minimum…

From  Jeff Erickson 25 plays 0  

17. FR-Dijkstra and faster minimum cuts

a. Monge heap operations: Revealing columns and…

From  Jeff Erickson 30 plays 0  

16. Planar minimum cuts

a. Duality: Shortest essential cycle b. Crosses…

From  Jeff Erickson 24 plays 0  

15. Planar shortest paths

a. Dense distance graphs b. Improving Dijkstra to…

From  Jeff Erickson 26 plays 0  

14. Planar separators

a. Tree separators b. Fundamental cycle…

From  Jeff Erickson 36 plays 0  

13. Multiple-source shortest paths

a. Problem statement b. Shortest paths and slacks…

From  Jeff Erickson 62 plays 0  

12. Tutte's spring embedding

a. Tutte drawings b. Physical intuition: energy…

From  Jeff Erickson 48 plays 0  

11. Straight-line planar maps

a. Simple triangulation lemma b. Hole filling…

From  Jeff Erickson 40 plays 0  

10. Deletion and contraction

a. Deletion and contraction in abstract graphs b.…

From  Jeff Erickson 52 plays 0  

9. Planar graphs and maps

a. What is a graph? (vertices and darts) b.…

From  Jeff Erickson 57 plays 0  

8. Curve homotopy and curve invariants

a. Steinitz's contraction algorithm (spindle…

From  Jeff Erickson 27 plays 0  

7. Unsigned Gauss codes

a. Winding numbers and Alexander numbering b.…

From  Jeff Erickson 44 plays 0  

6. Generic curves in the plane

a. Definitions: transverse intersection, generic…

From  Jeff Erickson 46 plays 0  

5. Shortest homotopic paths

a. Shortest paths in simple polygons b. Crossing…

From  Jeff Erickson 42 plays 0  

4. Faster homotopy testing

a. Quadratic lower bound? b. Trapezoidal…

From  Jeff Erickson 52 plays 0