1 citations · 1 across the 4 of their papers we have counts for
8 papers
Reverse Lexicographic and Lexicographic Shifting
Eric Babson, Isabella Novik, Rekha R. Thomas
A short new proof of the fact that all shifted complexes are fixed by reverse lexicographic shifting is given. A notion of lexicographic shifting, $Δ_{\lex}$ -- an operation that t…
Toric Initial Ideals of -Normal Configurations: Cohen-Macaulayness and Degree Bounds
Edwin O'Shea, Rekha R. Thomas
A normal (respectively, graded normal) vector configuration defines the toric ideal of a normal (respectively, projectively normal) toric variety. These ideals are Cohen-…
The toric Hilbert scheme of a rank two lattice is smooth and irreducible
Diane Maclagan, Rekha R. Thomas
The toric Hilbert scheme of a lattice L in Z^n is the multigraded Hilbert scheme parameterizing all ideals in k[x_1,...,x_n] with Hilbert function value one for every degree in the…
Symmetric iterated Betti numbers
Eric Babson, Isabella Novik, Rekha Thomas
We define a set of invariants of a homogeneous ideal in a polynomial ring called the symmetric iterated Betti numbers of . For , the Stanley-Reisner ideal of a simplici…
An Algebraic Perspective of Group Relaxations
Rekha R. Thomas
This is an expository article on recent developments in the theory of group relaxations in integer programming from an algebraic perspective.
Gomory Integer Programs
Serkan Hosten, Rekha R. Thomas
The set of all group relaxations of an integer program contains certain special members called Gomory relaxations. A family of integer programs with a fixed coefficient matrix and…