Math/AMath 514 - Networks and Combinatorial Optimization
Autumn 2026
Class: MW 9:00-10:20am in THO 325
Instructor: Cynthia Vinzant (email)
Instructor Office Hours (tentative): MW 10:30-11:30am in PDL C-439
Teaching Assistant Dan Guyer (email)
TA Office Hours: TBD in PDL C-404
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. 30Graphs and Minimum Spanning Trees S 1.4, 6 HW 1 due Oct. 7 (.tex, .pdf)
Oct. 5, 7 Convexity, Polyhedra, and Linear Programming
S 2.1, 2.2, 2.4 HW 2 due Oct. 14
Oct. 12, 14 Duality in LPs, Matchings
S 2.3, 2.4, 3.1 HW 3 due Oct. 21
Oct. 19, 21 Matchings
S 3.2-3.4, 3.6 HW 4 due Oct. 28
Oct. 26, 28 Network Flows
S 4.2-4.4 HW 5 due Nov. 4
Nov. 2, 4 Max Flow and applications S 4.5, 4.6 HW 6 due Nov. 11
Nov. 9 Integer Programming and Total Unimodularity S 8.1, 8.2, 8.3, 8.4HW 7 due Nov. 18
Nov. 16,18 TU matrices from graphs cont' S 8.3, 8.4
HW 8 due Nov. 25
Nov. 23, 25Approximations of Max Cut and SDPs Laurent, Vallentin
(Ch 2 & 7)
Nov. 30, Dec. 2 Matroids
S 10.1, 10.2, 10.3, 10.7 HW 9 due Dec. 9
Dec. 7, 9 Matroid Intersection
S 10.4, 10.5