Events Mini Calendar

Go to previous month Go to next month
  S M T W R F S
W40 27 28 29 30 1 2 3
W41 4 5 6 7 8 9 10
W42 11 12 13 14 15 16 17
W43 18 19 20 21 22 23 24
W44 25 26 27 28 29 30 31

Today is:
Tue, Oct 20, 2020

MSU Events Calendar

 Choose Calendar view:   Day   Week   Month     Search   Filter

Math Seminar Series  (Conferences / Seminars / Lectures)

Combinatorics and Graph Theory

Robert Davis from Colgate University will be speaking.

The seminar is titled "Analyzing Power Grid Stability via the Dragon Marriage Theorem."

This is a virtual meeting that takes place over Zoom.

Contact Bruce E Sagan ( for more information.

One real-life situation application of graph theory is the study of electrical grids: they have to be constructed carefully since unstable grids can lead to brownouts, blackouts, damaged equipment, or other possible problems. If we know the connections in the grid that we want, how can the voltages at each node be coordinated in a way that makes sure the network stays stable? This is a difficult question, but even knowing the number of ways to keep a network stable can help. In this talk, we will see how to count the number of "stable solutions" using geometric and algebraic methods. These methods will help us obtain recurrences for networks satisfying mild conditions. Consequently, we obtain explicit, non-recursive formulas for the number of stable solutions for a large class of outerplanar graphs, and conjecture that the formula holds for all outerplanar graphs. One of the keys to our results: studying dragons and the havoc they wreak on fictional medieval villages.

more information...

Location: Online via Zoom [map]
Price: free
Sponsor: Department of Mathematics
Contact: Department of Mathematics
phone pic (517) 353-0844