Spencer Backman

activity

20092026

most citedGeometric Bijections for Regular Matroids, Zonotopes, and Ehrhart Theory

15 citations · 51 across the 20 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.CO2014

Partial Graph Orientations and the Tutte Polynomial

Spencer Backman

Gessel and Sagan investigated the Tutte polynomial, $T (x, y)$ using depth first search, and applied their techniques to show that the number of acyclic partial orientations of a gra…

math.CO2014

Riemann-Roch Theory for Graph Orientations

Spencer Backman

We develop a new framework for investigating linear equivalence of divisors on graphs using a generalization of Gioan's cycle--cocycle reversal system for partial orientations. An…

math.CO2014

Explicit Deformation of Lattice Ideals via Chip Firing Games on Directed Graphs

Spencer Backman, Madhusudan Manjunath

For a finite index sublattice $L$ of the root lattice $A_{n}$ , we construct a deterministic algorithm to deform the lattice ideal $I_{L}$ to a nearby generic lattice ideal, answering…