 June 2013  |
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| Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
All events for June 7, 20136:00 PM - Susan Marshall & Co. Open Rehearsal 7:00 PM - UpBeat on the Roof: "The Tequila Mockingbirds" 8:00 PM - Ben Vereen To view more information for these events select View all events at the bottom of the day. |
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All events for June 14, 20136:00 PM - Susan Marshall & Co. Open Rehearsal 7:00 PM - UpBeat on the Roof: "Swing Noire" 8:00 PM - SITI Company Performance: Café Variations To view more information for these events select View all events at the bottom of the day. |
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There are no daily events scheduled for today. Be sure to check out the ongoing events for today. |
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All events for June 28, 201310:00 AM - SITI Company: Suzuki Method Theater Demonstrations 1:00 PM - Jazz Student Concert 2:00 PM - SITI Company: Viewpoints Method Theater Demonstrations 7:00 PM - SITI Student Theater Showings 7:00 PM - UpBeat on the Roof: "The McKrells with Brian Melick" To view more information for these events select View all events at the bottom of the day. |
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Pi Mu Epsilon Induction Ceremony and Lecture: "Graphs and Symmetry"
Location: Palamountain Hall: Emerson Auditorium
Date: 03/24/2010
Time: 5:30 PM
Speaker: Debra Boutin, Hamilton College
Description:
My goal in this talk is to provide intuition about graphs, their symmetries, and a few of the questions that have been studied recently. No background in graph theory will be assumed.
A graph is a collection of objects (called vertices) with a relationship (called an edge) between some pairs of objects. For instance, the vertices could be Facebook pages with an edge between them if they are Facebook friends. The vertices could be computers with an edge between them if they have a direct cable connection. We often "draw" graphs to help our intuition about their structure. However, the drawing is not a required part of the graph and a given graph can have many different drawings. We can talk about the symmetries of a given graph. A symmetry is a rearrangement of the objects that preserves the relationships. If we have a "nice" graph drawing, we may be able to "see" some of the symmetries in the same way we can see the symmetries of a square or a pentagon. However, many of the symmetries may not be visible in this way.
Some of the questions that have been asked about graphs and their symmetries in recent years are:
- Can a given graph be embedded in Euclidean space (of some dimension) so that its Euclidean symmetries are precisely its graph symmetries? If so, how many dimensions are required?
- What is a smallest set of vertices with the property that every symmetry is uniquely determined by its action on this set of vertices?
I will introduce these concepts, give examples to build intuition, and show a few of the current results.
Sponsor:Department of Mathematics and Computer Science, Pi Mu Epsilon and Honors Forum
Contact:
Kim Newsom
518-580-5280
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