Discrete & Computational Math Seminar: Kristijan Tabak
Discrete & Computational Math Seminar (DisCoMath)
Cubes of designs
Kristijan Tabak
RIT Croatia
Abstract: A symmetric design is a combinatorial object represented as a matrix with entries 0 and 1, where any two rows and any two columns have equal number of ones on respective locations. Historically, symmetric designs were studied in genetics and in designs of pharmaceutical experiments. Afterwards, it became a mainstream part of mathematics. In this talk we shall represent new developments in a theory of multidimensional symmetric designs that was originated by dr. Krčadinac, dr. Pavčević and dr. Tabak. In brief, we study 3-dimensional, 4-dimensional etc. cubes of (0,1) matrices that preserve a great deal of symmetry inherited from a basic 2-dimensional case. Applications of cubes of designs are possible in a complex setting of statistical tests, neural networks, optimization problems etc
Intended Audience: Undergraduates
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