3 citations · 5 across the 4 of their papers we have counts for
4 papers
Graph products of spheres, associative graded algebras and Hilbert series
Peter Bubenik, Leah H. Gold
Given a finite, simple, vertex-weighted graph, we construct a graded associative (non-commutative) algebra, whose generators correspond to vertices and whose ideal of relations has…
Betti Numbers and Degree Bounds for Some Linked Zero-Schemes
Leah Gold, Hal Schenck, Hema Srinivasan
In their paper on multiplicity bounds (1998), Herzog and Srinivasan study the relationship between the graded Betti numbers of a homogeneous ideal I in a polynomial ring R and the…
Cayley-Bacharach and evaluation codes on complete intersections
Leah Gold, John Little, Hal Schenck
In recent work, J. Hansen uses cohomological methods to find a lower bound for the minimum distance of an evaluation code determined by a reduced complete intersection in the proje…
A degree bound for codimension two lattice ideals
Leah H. Gold
Herzog and Srinivasan have conjectured that for any homogeneous k-algebra, the degree is bounded above by a function of the maximal degrees of the syzygies. Combining the syzygy qu…