16 citations · 16 across the 5 of their papers we have counts for
5 papers
Two-player envy-free multi-cake division
John Cloutier, Kathryn L. Nyman, Francis Edward Su
We introduce a generalized cake-cutting problem in which we seek to divide multiple cakes so that two players may get their most-preferred piece selections: a choice of one piece f…
Two-batch liar games on a general bounded channel
Robert B. Ellis, Kathryn L. Nyman
We consider an extension of the 2-person Rényi-Ulam liar game in which lies are governed by a channel , a set of allowable lie strings of maximum length . Carole selects $x\i…
Relations on Generalized Degree Sequences
Caroline J. Klivans, Kathryn L. Nyman, Bridget E. Tenner
We study degree sequences for simplicial posets and polyhedral complexes, generalizing the well-studied graphical degree sequences. Here we extend the more common generalization of…
Annihilators of permutation modules
Stephen Doty, Kathryn Nyman
Permutation modules are fundamental in the representation theory of symmetric groups $\Sym_n$ and their corresponding Iwahori--Hecke algebras $\He = \He(\Sym_n)$. We find an explic…
Inequalities for the h- and flag h-vectors of geometric lattices
Kathryn Nyman, Ed Swartz
We prove that the order complex of a geometric lattice has a convex ear decomposition. As a consequence, if D(L) is the order complex of a rank (r+1) geometric lattice L, then for…