Jan 27
Math/Stats Colloquium: Kristin Heysse, Macalester College
Title: Enumerating Maximal Binary Triangles
Abstract: Ever since we learned how to count, we’ve been asking questions about "how many?". This question is central to Combinatorics, a subfield of discrete mathematics that studies arrangements of objects. Arising out the study of voting theory, we’ll ask "how many" about particular sequences best visualized as binary triangles. We’ll borrow some ideas from partially ordered sets to tie these structures to other well-studied combinatorial families, present a Pascal’s-triangle like array for their enumeration, and dig into the results that prove their claimed recursions. We’ll end our discussion on a curious question of convolution, suggested by the OEIS, that we are still exploring.
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