72 citations · 78 across the 11 of their papers we have counts for
3 papers · 2 filters
A weighted cellular matrix-tree theorem, with applications to complete colorful and cubical complexes
Ghodratollah Aalipour, Art M. Duval, Woong Kook +2
We present a version of the weighted cellular matrix-tree theorem that is suitable for calculating explicit generating functions for spanning trees of highly structured families of…
Simplicial and Cellular Trees
Art M. Duval, Caroline J. Klivans, Jeremy L. Martin
Much information about a graph can be obtained by studying its spanning trees. On the other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question of d…
A non-partitionable Cohen-Macaulay simplicial complex
Art M. Duval, Bennet Goeckner, Caroline J. Klivans +1
A long-standing conjecture of Stanley states that every Cohen-Macaulay simplicial complex is partitionable. We disprove the conjecture by constructing an explicit counterexample. D…