View Proposal #479
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| ID | 479 |
|---|---|
| First Name | Jake |
| Last Name | Weber |
| Institution | University of Northern Iowa |
| Speaker Category | undergraduate student |
| Title of Talk | Exploration of Counter Examples of Balance Sets |
| Abstract | With large data sets, one might ask if substructure exists, and if so, how large should the data subset be in order to guarantee this substructure. We investigated data subsets of Zp × Zp which are on the boundary, just short of enough data to guarantee substructure, specifically categorizing the data subsets that don’t have substruc- ture. First by brute force checking, we determined the counter examples (graphs with no substructure) for Z5 × Z5. These exam- ples guided our search into Zp × Zp where p ≥ 7. From there, we proved there are four categories of counter examples that do not have a balanced subset in Zp × Zp. |
| Subject area(s) | |
| Suitable for undergraduates? | Y |
| Day Preference | SaturdayStrong |
| Computer Needed? | N |
| Bringing a laptop? | Y |
| Overhead Needed? | N |
| Software requests | |
| Special Needs | I will be bringing a MacBook Pro (2015) and will need to connect to the projector via HDMI port. |
| Date Submitted | 10/06/2017 |
| Year | 2017 |