6 citations · 8 across the 5 of their papers we have counts for
6 papers
Sizes of flat maximal antichains of subsets
Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck +2
This is the second of two papers investigating for which positive integers there exists a maximal antichain of size in the Boolean lattice (the power set of $[n]:=\{1…
What is worthy of investigation? Philosophical attitudes and their impact on mathematical development by the example of discovering 10-adic numbers
Merlin Carl, Michael Schmitz
We describe in dialogue form a possible way of discovering and investigating 10-adic numbers starting from the naive question about a `largest natural number'. Among the topics we…
Maximal antichains of subsets II: Constructions
Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck +2
This is the second in a sequence of three papers investigating the question for which positive integers there exists a maximal antichain of size in the Boolean lattice $B_n…
The saturation spectrum for antichains of subsets
Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck +2
Extending a classical theorem of Sperner, we characterize the integers such that there exists a maximal antichain of size in the Boolean lattice , that is, the power s…
Envelopes are solving machines for quadratics and cubics and certain polynomials of arbitrary degree
Michael Schmitz, André Streicher
Everybody knows from school how to solve a quadratic equation of the form graphically. But this method can become tedious if several equations ought to be solved, as f…
A probabilistic way to discover the rainbow
Joscha Prochno, Michael Schmitz
"No two rainbows are the same. Neither are two packs of Skittles. Enjoy an odd mix!". Using an interpretation via spatial random walks, we quantify the probability that two randoml…