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Lauren Rose (Bard)

Module Bases for Integer Splines

Abstract for the Combinatorics Seminar 2019 March 5

Let G be a graph with n vertices and positive integer edge weights A. A vertex labeling (g1,…,gn) is an integer spline if for every pair of adjacent vertices {i,j} with edge weight a, gi = gj mod a. The set of splines on a given weighted graph (G,A) forms a free module of rank n over the integers. We provide an explicit construction for a particularly nice basis for this module, generalizing work done by undergraduates at Smith College and Bard College.

This is joint work with Jeff Suzuki and Jessica Liu.

seminars/comb/abstract.201903ros.txt · Last modified: 2020/01/29 14:03 (external edit)