80 citations · 239 across the 59 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.CO2014
Antipodes and involutions
Carolina Benedetti, Bruce Sagan
If H is a connected, graded Hopf algebra, then Takeuchi's formula can be used to compute its antipode. However, there is usually massive cancellation in the result. We show how sig…
math.CO2014★ 2 cited
On Constructing Regular Distance-Preserving Graphs
Abdol-Hossein Esfahanian, Ronald Nussbaum, Dennis Ross +1
Let G be a simple, connected graph on n vertices. Let d_G(u,v) denote the distance between vertices u and v in G. A subgraph H of G is isometric if d_H(u,v)=d_G(u,v) for every u,v…
math.CO2014★ 1 cited
Factoring the characteristic polynomial of a lattice
Joshua Hallam, Bruce E. Sagan
We introduce a new method for showing that the roots of the characteristic polynomial of certain finite lattices are all nonnegative integers. This method is based on the notion of…