Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Triangulations: Structures for Algorithms and Applications

- J. D. Loera, Jörg Rambau, F. Santos
- Mathematics
- 16 August 2010

Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents… Expand

367 27

A counterexample to the Hirsch conjecture

- F. Santos
- Mathematics, Computer Science
- ArXiv
- 14 June 2010

TLDR

192 19- PDF

Higher Lawrence configurations

- F. Santos, B. Sturmfels
- Mathematics, Computer Science
- J. Comb. Theory, Ser. A
- 24 September 2002

TLDR

78 14- PDF

On the rank of a tropical matrix

- M. Develin, F. Santos, B. Sturmfels
- Mathematics
- 5 December 2003

An apparatus (10) for use in securing a specimen (S) in a folding specimen holder (58) having an arm blade (12). A spring clip (26) releasably secures the grid (58) to the arm blade (12) so that one… Expand

105 12- PDF

The Polytope of All Triangulations of a Point Configuration

- J. D. Loera, S. Hosten, F. Santos, Bernd Sturmfels
- Mathematics
- 1996

We study the convex hull P A of the 0-1 incidence vectors of all triangulations of a point con guration A. This was called the universal polytope in [4]. The a ne span of P A is described in terms of… Expand

70 8- PDF

Expansive Motions and the Polytope of Pointed Pseudo-Triangulations

- G. Rote, F. Santos, I. Streinu
- Mathematics
- 4 June 2002

We introduce the polytope of pointed pseudo-triangulations of a point set in the plane, defined as the polytope of infinitesimal expansive motions of the points subject to certain constraints on the… Expand

110 7- PDF

The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings

- B. Huber, Jörg Rambau, F. Santos
- Mathematics
- 30 June 2000

Abstract.In 1994, Sturmfels gave a polyhedral version of the Cayley Trick of elimination theory: he established an order-preserving bijection between the posets of coherent mixed subdivisions of a… Expand

88 5- PDF

Pseudo-Triangulations - a Survey

- G. Rote, F. Santos, I. Streinu
- Mathematics
- 21 December 2006

A pseudo-triangle is a simple polygon with three convex vertices, and a pseudo-triangulation is a face-to-face tiling of a planar region into pseudo-triangles. Pseudo-triangulations appear as data… Expand

79 4- PDF

An effective version of Pólya's theorem on positive definite forms

- J. D. Loera, F. Santos
- Mathematics
- 13 May 1996

Abstract Given a real homogeneous polynomial F , strictly positive in the non-negative orthant, Polya's theorem says that for a sufficiently large exponent p the coefficients of F ( x 1 ,…, x n ) · (… Expand

51 4

The polytope of non-crossing graphs on a planar point set

TLDR

27 4