4 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
Critical groups of simplicial complexes
Art M. Duval, Caroline J. Klivans, Jeremy L. Martin
We generalize the theory of critical groups from graphs to simplicial complexes. Specifically, given a simplicial complex, we define a family of abelian groups in terms of combinat…
On the topology of graph picture spaces
Jeremy L. Martin
We study the space of pictures of a graph in complex projective -space. The main result is that the homology groups (with integer coefficients) of ${\m…
Geometry of graph varieties
Jeremy L. Martin
A picture P of a graph G = (V,E) consists of a point P(v) for each vertex v in V and a line P(e) for each edge e in E, all lying in the projective plane over a field k and subject…
Factorizations of some weighted spanning tree enumerators
Jeremy L. Martin, Victor Reiner
We give factorizations for weighted spanning tree enumerators of Cartesian products of complete graphs, keeping track of fine weights related to degree sequences and edge direction…