Math/AMath 514 - Networks and Combinatorial Optimization
Autumn 2025
Class: MW 9:00-10:20am in THO 325
Instructor: Cynthia Vinzant (email)
Instructor Office Hours: Th 12:30-2:30pm in PDL C-439
Teaching Assistant Tracy Chin (email)
TA Office Hours: W 11am-12pm in PCL C-110
Class Syllabus

Quick Links: Gradescope, Discussion Board

References
There is no official textbook for the class. The lectures will follow notes written by Alexander Schrijver that you can find here.

Schedule (Tentative)
WeekTopicReadingHomework
Sept. 24Graphs and Minimum Spanning Trees
Notes: 09/24
S 1.4, 6 HW 1 due Oct. 3 (.tex, .pdf)
Sept. 29, Oct. 1 Convexity, Polyhedra, and Linear Programming
Notes: 09/29, 10/01
Video: 09/29, 10/01
S 2.1, 2.2, 2.4 HW 2 due Oct. 10 (.tex, .pdf)
Oct. 6, 8 Duality in LPs, Matchings
Notes: 10/06, 10/08
Video: 10/06, 10/08
S 2.3, 2.4, 3.1 HW 3 due Oct. 17 (.tex, .pdf)
Oct. 13, 15 Matchings
Notes: 10/13, 10/15
Video: 10/13, 10/15
S 3.2-3.4, 3.6 HW 4 due Oct. 24 (.tex, .pdf)
Oct. 20, 22 Network Flows
Notes: 10/20, 10/22
Video: 10/20, 10/22
S 4.2-4.4 HW 5 due Oct. 31 (.tex, .pdf)
Oct. 27, 29 Max Flow and applications
Notes: 10/27, 10/29
Video: 10/27, 10/29
S 4.5, 4.6 HW 6 due Nov. 7 (.tex, .pdf)
Nov. 3, 5 Integer Programming and Total Unimodularity
Notes: 11/03, 11/05
Video: 11/03, 11/05
S 8.1, 8.2, 8.3, 8.4HW 7 due Nov. 14 (.tex, .pdf)
Nov. 10, 12 TU matrices from graphs cont'
Notes: 11/10, 11/12
Video: 11/10, 11/12
S 8.3, 8.4
HW 8 due Nov. 21
Nov. 17, 19 Approximations of Max Cut and SDPs Laurent, Vallentin
(Ch 2 & 7)
Nov. 24, 26 Matroids S 10.1, 10.2, 10.3, 10.7 HW 9 due Dec. 5
Dec. 1, 3 Matroids (cont')S 10.4, 10.5