9 citations · 24 across the 17 of their papers we have counts for
5 papers · 1 filter
Principal minors of tree distance matrices
Harry Richman, Farbod Shokrieh, Chenxi Wu
We prove that the principal minors of the distance matrix of a tree satisfy a combinatorial expression involving counts of rooted spanning forests of the underlying tree. This gene…
The family of -floor quotient partial orders
Jeffrey C. Lagarias, David Harry Richman
An approximate divisor order is a partial order on the positive integers that refines the divisor order and is refined by the additive total order. A previous paper…
A Ricci flow on graphs from effective resistance
Aleyah Dawkins, Vishal Gupta, Mark Kempton +4
In this paper, we introduce a new notion of curvature on the edges of a graph that is defined in terms of effective resistances. We call this the Ricci--Foster curvature. We study…
Node resistance curvature in Cartesian graph products
Aleyah Dawkins, Vishal Gupta, Mark Kempton +4
Devriendt and Lambiotte recently introduced the \emph{node resistance curvature}, a notion of graph curvature based on the effective resistance matrix. In this paper, we begin the…
The Möbius function of the poset of triangular numbers under divisibility
Rohan Pandey, Harry Richman
This paper analyzes the Möbius () function defined on the partially ordered set of triangular numbers () under the divisibility relation. We make conjectures o…