This article is available for purchase or by subscription. See below.
Abstract
|
We study
generalized graph splines, introduced by Gilbert, Tymoczko, and Viel
(2016). For a large class of rings, we characterize the graphs that only admit constant
splines. To do this, we prove that if a graph has a particular type of cutset (e.g., a
bridge), then the space of splines naturally decomposes as a certain direct sum of
submodules. As an application, we use these results to describe splines on a
triangulation studied by Zhou and Lai, but over a different ring than they
used.
|
PDF Access Denied
We have not been able to recognize your IP address
3.149.243.32
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
splines, generalized graph splines
|
Mathematical Subject Classification 2010
Primary: 05C25, 05C78, 05E15
|
Milestones
Received: 8 August 2018
Revised: 25 July 2019
Accepted: 2 October 2019
Published: 12 February 2020
|
|