7 citations · 8 across the 7 of their papers we have counts for
7 papers
Move-minimizing puzzles and diamond-colored modular/distributive lattices
Robert G. Donnelly, Elizabeth A. Donovan, Molly W. Dunkum +1
The move-minimizing puzzles presented here are certain types of one-player combinatorial games that are shown to have explicit solutions whenever they can be encoded in a certain w…
Diamond-colored distributive lattices, move-minimizing games, and fundamental Weyl symmetric functions: The type case
Robert G. Donnelly, Elizabeth A. Donovan, Timothy A. Schroeder
We present some elementary but foundational results concerning diamond-colored modular and distributive lattices and connect these structures to certain one-player combinatorial "m…
Statements and Dilemmas Regarding the -homology of Coxeter groups
Timothy A Schroeder
We generalize the methods in previous work to provide a program for proving Singer's Conjecture for Coxeter systems. Specifically, we consider even Coxeter systems with nerves that…
-homology and planar graphs
Timothy A. Schroeder
In his 1930 paper, Kuratowksi categorized planar graphs, proving that a finite graph is planar if and only if it does not contain a subgraph that is homeomorphic to , the…
On the three-dimensional Singer Conjecture for Coxeter groups
Timothy A. Schroeder
We give a proof of the Singer conjecture (on the vanishing of reduced -homology except in the middle dimension) for the Davis Complex associated to a Coxeter system $(W…
Geometrization of 3-dimensional Coxeter orbifolds and Singer's conjecture
Timothy A. Schroeder
Associated to any Coxeter system , there is a labeled simplicial complex and a contractible CW-complex (the Davis complex) on which acts properly and cocompact…