Title

TORIC GEOMETRY OF SERIES-PARALLEL GRAPHS

Authors

Authors

J. Brennan;G. T. Chen

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abstract

Let G be a graph and K be a field. We associate to G a projective toric variety X(G) over K, the cut variety of the graph G. The cut ideal I(G) of the graph G is the ideal defining the cut variety. We show that, if G is a subgraph of a subdivision of a book or an outerplanar graph, then the minimal generators are quadrics. Furthermore, we describe the generators of the cut ideal of a subdivision of a book.

Journal Title

Siam Journal on Discrete Mathematics

Volume

23

Issue/Number

2

Publication Date

1-1-2009

Document Type

Article

First Page

754

Last Page

764

WOS Identifier

WOS:000267744700014

ISSN

0895-4801

Share

COinS