Bounding Betti numbers of bipartite graph ideals
Michael Goff
TL;DR
This paper proves a conjectured lower bound on Betti numbers for edge ideals of bipartite graphs, advancing understanding of algebraic invariants in combinatorial commutative algebra.
Contribution
It establishes the first proof of Nagel and Reiner's conjectured lower bound for Betti numbers in bipartite graph ideals.
Findings
Confirmed the conjectured lower bound for Betti numbers.
Enhanced understanding of algebraic invariants in bipartite graph ideals.
Provided new techniques for analyzing Betti numbers in combinatorial algebra.
Abstract
We prove a conjectured lower bound of Nagel and Reiner on Betti numbers of edge ideals of bipartite graphs.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation