16 citations · 16 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…