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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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