Devin Henson
Mathematics Department University of South Carolina Columbia, SC 29209 |
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hensonjd[at]math[dot]sc[dot]edu Phone: (803) 777-3806 Office: 400A | ||
Teaching
Education
Journal Publications
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D. Henson and D. Sarvate. A Family of Group Divisible Designs With Block Size Four and Three Groups λ1=2 and λ2=1 Using MOLS Abstract: We give a construction for a new family of Group Divisible Designs (6s+2,3,4;2,1) using Mutually Orthogonal Latin Squares for all positive integers s. Consequently, we have proved that the necessary conditions are sufficient for the existence of GDD?s of block size four with three groups, λ1=2 and λ2=1. Status: ARS Combinatoria, Vol. 78 - Jan. 2006
D. Henson and D. Sarvate. On Group Divisible Designs With Block Size Four and Three Groups . Abstract: We give some new constructions of GDD(n,3,4;λ1, λ2) and show that necessary conditions are sufficient for several families of GDDs including so called even, odd, and mixed GDDs with three groups and block size four, except for two familes of mixed designs. Status: I am currently putting final touches on this paper. Afterward, I plan to submit it to ARS Combinatoria. |
Demonstrations
Research Experience
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