REU 2004

Central Michigan University

Final Reports

Here are final reports for the undergraduate research projects developed during the NSF supported Research Experience for Undergraduates at Central Michigan University in the summer of 2004.

Cover Sheet for the 2004 Final Reports, listing participants and grant number

On An Exhaustive Search For (2¹²-1, 2¹¹-1, 2¹⁰-1) Cyclic Difference Sets by Josh Baron and Jeff Ginn under the direction of Ken Smith

Further Results on the Minimum Rank of Positve Semidefinite Matrices With a Given Graph by Phil Hackney, Ben Harris, Margaret Lay, Lon Mitchell and Amanda Pascoe under the direction of Sivaram Narayan

On the Nonexistence of a (176, 50, 14) Difference Set by Oliver Gjoneski under the direction of Ken Smith

(P,K) Pebbling Number of Diameter Three Graphs by Jessica Muntz, Noah Streib and Kelly Van Ochten under the direction of Sivaram Narayan

Optimal Pebbling Number of Graphs by Jessica Muntz, Noah Streib and Kelly Van Ochten under the direction of Sivaram Narayan

The Search For Difference Sets in the Non-cyclic Group of Order 121 by Jenell Nyberg under the direction of Ken Smith

Tight Subdesigns of the Higman-Sims Design by Leah Yates under the direction of Yury Ionin