6 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
Simplicial complexes from finite projective planes and colored configurations
Matt Superdock
In the 7-vertex triangulation of the torus, the 14 triangles can be partitioned as , such that each represents the lines of a copy of the Fano plane $PG…
Vertex numbers of simplicial complexes with free abelian fundamental group
Florian Frick, Matt Superdock
We show that the minimum number of vertices of a simplicial complex with fundamental group is at most and at least . For the upper bound, we use…
Clean tangled clutters, simplices, and projective geometries
Ahmad Abdi, Gérard Cornuéjols, Matt Superdock
A clutter is \emph{clean} if it has no delta or the blocker of an extended odd hole minor, and it is \emph{tangled} if its covering number is two and every element appears in a min…
The Graceful Tree Conjecture: a class of graceful diameter-6 trees
Matthew C. Superdock
We survey the current state of progress on the Graceful Tree Conjecture, and then we present several new results toward the conjecture, driven by three new ideas: (1) It has been p…
New graceful diameter-6 trees by transfers
Matt Superdock
Given a graph , a labeling of is an injective function . Under the labeling , the label of a vertex is , and the induced la…