Triangulations presents the first comprehensive treatment of the theory of secondary
polytopes and related topics. The text discusses the geometric structure behind the …

Historically, commutative algebra, whose foundations were laid by Dedekind, Hilbert,
Noether, and Krull, has developed in step with algebraic geometry, number theory …

In this mini-review, we introduce and summarize research from the Quantum Technologies
Group (QTG) at Carnegie Mellon University related to computational experience with …

It is undeniable that geometric ideas have been very important to the foundations of modern
discrete optimization. The influence that geometric algorithms have in optimization was …

An Annotated Bibliography for Post-Solution Analysis in Mixed Integer Programming and
Combinatorial Optimization | SpringerLink Skip to main content Advertisement SpringerLink …

In the years 1994, 1995, two EIDMA mini courses on Computer Algebra were given at the
Eindhoven University of Technology by, apart from ourselves, various invited …

This paper offers generalizations of the identity 1--1= 2. To begin, consider identities of the
form a+---+ a= b+-----b with 0< a, b, 5. n and all parts integers. Such identities arise in the …

The purpose of this exposition1 is to give a simple treatment of Knutson and Tao's recent
proof of the saturation conjecture [10]. A finite dimensional irreducible polynomial …

The algebraic technique of Gröbner bases is applied to study triangulations of the second
hypersimplex Δ (2, n). We present a quadratic Gröbner basis for the associated toric ideal K …

In this survey we address three of the principal algebraic approaches to integer
programming. After introducing lattices and basis reduction, we first survey their use in …