Spring 2024 - MATH 748 G100
Network Flows (3)
Class Number: 3795
Delivery Method: In Person
Overview
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Course Times + Location:
Jan 8 – Apr 12, 2024: Mon, 2:30–4:20 p.m.
SurreyJan 8 – Apr 12, 2024: Wed, 2:30–3:20 p.m.
Surrey -
Exam Times + Location:
Apr 19, 2024
Fri, 8:30–11:30 a.m.
Surrey
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Instructor:
Abraham Punnen
apunnen@sfu.ca
1 778 782-7611
Description
CALENDAR DESCRIPTION:
Held jointly with MATH 448-3. See description for MATH 448-3. Students may not take a 700-division course if it is being offered in conjunction with a 400-division course which they have taken previously.
COURSE DETAILS:
Shortest path algorithms:
Optimality conditions and Ford-Fulkerson label correcting algorithms, special implementations, detection of negative cycles, all pair shortest paths, maximum capacity paths.
Maximum flows:
Review of augmenting path algorithms, labeling algorithm and maximum flow minimum cut theorem, capacity scaling, pre-flow push algorithms, flows in unit capacity networks.
Minimum cost flows:
Optimality conditions and duality, cycle-canceling algorithm, capacity scaling algorithm.
Other topics:
Convex cost flows, generalized network flow models, multicommodity network flow models.
As time permits:
Network location models, network design models, Applications of Network flow models.
Grading
- Assignments/Quizzes (4 @ 10% each) 40%
- Midterm Test 20%
- Final Examination 40%
NOTES:
The assignments for MATH 748 will have additional questions and exam questions may be different, reflecting the additional work for MATH 748 students.
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks. Please pay careful attention to the options discussed in class at the beginning of the semester.
Materials
RECOMMENDED READING:
ISBN: 978013617590
REQUIRED READING NOTES:
Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.
Graduate Studies Notes:
Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html