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DTSTAMP:20201014T190000Z
UID:1602251193860@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20201014T190000Z
DTEND:20201014T195000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
 Combinatorics and Graph Theory\n
 \n
 Robert Davis 
 from Colgate University will be speaking.\n
 \n
 The 
 seminar is titled "Analyzing Power Grid 
 Stability via the Dragon Marriage Theorem."\n
 \n
 This is a virtual meeting that takes place 
 over Zoom.\n
 \n
 Contact Bruce E Sagan (bsagan@msu.edu) 
 for more information.\n
 \n
 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.\n\n
 Price: free\n
 Sponsor: Department of Mathematics\n
 Sponsor's Homepage: https://www.math.msu.edu/\n
 Contact name: Department of Mathematics\n
 Contact phone: (517) 353-0844\n
 for more info visit the web at:\n 
 https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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