Toric ideals of finite graphs and adjacent 2-minors

TL;DR

This paper investigates conditions under which ideals generated by adjacent 2-minors correspond to toric ideals of finite graphs, linking algebraic structures with graph theory.

Contribution

It characterizes when such ideals are toric ideals of finite graphs, providing new insights into their algebraic and combinatorial properties.

Findings

Identifies criteria for ideals generated by adjacent 2-minors to be toric graph ideals

Establishes connections between algebraic ideals and graph structures

Advances understanding of the algebraic structure of graph-related ideals

Abstract

We study the problem when an ideal generated by adjacent 2-minors is the toric ideal of a finite graph.