Revision Log for COMP572 Lecture Notes -- Fall 2006
When notes are updated, a list of changes will be available here.
Maximum Flows
PS PDF
- Original version 04/09/06
- Revision on 05/09/06
- Diagram on bottom of page 3 was not a Max-Flow.
A new diagram illustrating a real Max-Flow was added
- Revision on 07/09/06
- Fixed small typo on bottom of page 10
- Corrected last two diagrams on page 22 (changed '1's to '2's)
Amortized Analysis
PS PDF
- Original version 30/08/06
- Revision on 15/09/06
- p. 5, changed two "<=" to
">="
- p. 11 Fixed a small typo
- p. 16 Got rid of statement "=k" (was not
needed)
Fibonacci Heaps
PS PDF
- Original version 30/08/06
- Revision on 21/09/06
- p 12,13 added a few '1'1s
- p. 19 Changed `Decrease Key` to `Extract-Min`
The Hungarian Algorithm
PS PDF
- Original Version 30/08/06
- Revision on 18/09/06
- p. 11 totally rewrote
- p. 12 w(x) -> w(x,y)
- p. 13 slight edit of 3rd property
- p. 14 added a note
- p. 18 fixed a typo
- p. 19 'y\in T' -> 'y \not\in T'
- Revision on 25/09/06
- p 13 rewrote point (iii)
- p.18 Added a comment
- Revision on 25/09/06
- p.18 changed |T| = |S| + 1
to |T| = |S| -1
Simplex Part 1
PS PDF
- Original Version 06/10/04
- Revision on 27/09/06
- changed r to
b in many places where Canonical and
Standard form are used
- p. 12 slightly rewrote proof of Lemma
- p. 14, 15 slightly rewrote proof of Lemma
- Revision on 04/10/06
- p. 20 Changed n to
d in last bullet point
- p. 25 changed polytopes to
points
- p. 26 changed n-m slack variables
to m slack variables
Simplex Part 1 (extra) Correspondence between polytopes
and feasible sets 1
PS PDF
- Revision on 07/10/06
- p. 4 Fixed typo. Changed (x) to
(\hat{x}) in middle of page
- p. 4 slightly reformatted page
Simplex Part 2: Changing BFSs and
Pivots PS
PDF
- Revision on 07/10/06
- p. 13 Fixed Typo. x_{i,j}
replaced by x_{l,j}
Linear Programming Duality PS
PDF
- Original Version 18/10/06
- Revision on 28/10/06
- p. 7 changed A_j
to A'_j on 4th line of proof
- p. 22 Clarified the explanation
Some more applications of
Duality PS
PDF
- Original Version 18/10/06
- Revision on 01/11/06
- p. 18 Fixed some typos in indices
Randomized Rounding For Set Cover PS
PDF
- Revision on 25/11/06
- Major changes to first and last page of notes