Lectures in Geometric Combinatorics is a textbook on polyhedral combinatorics. It was written by Rekha R. Thomas, based on a course given by Thomas at...

and principles with combinatorics. Computational geometry deals with algorithms and their implementations for manipulating geometrical objects. Important...

constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points...

at Texas A&M University beginning in 1995. Thomas is the author of the textbook Lectures in Geometric Combinatorics (Student Mathematical Library, 33...

Thomas, Rekha R. (2006), "Chapter 9. The Permutahedron", Lectures in Geometric Combinatorics, Student Mathematical Library: IAS/Park City Mathematical...

geometry. Geometric calculus extends the geometric algebra to include differentiation and integration. Geometric combinatorics a branch of combinatorics. It...

semiregular polyhedra] (in German). VEB Deutscher Verlag der Wissenschaften. Thomas, Rekha (2006). Lectures in Geometric Combinatorics. American Mathematical...

Concini, David Eisenbud, and Claudio Procesi. Algebraic combinatorics Polyhedral combinatorics Zero-divisor graph A foundational paper on Stanley–Reisner...

"Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry", Book Review, Combinatorics, Probability and Computing, 13...

combinatorics is the special case when only the operations of addition and subtraction are involved. Ben Green explains arithmetic combinatorics in his...

differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing and analytic number...

Theorem: Lectures on Topological Methods in Combinatorics and Geometry (2nd ed.). Berlin-Heidelberg: Springer-Verlag. ISBN 978-3-540-00362-5. Written in cooperation...

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself...

combinatorics Poset Topology: Tools and Applications Michelle L. Wachs, lecture notes IAS/Park City Graduate Summer School in Geometric Combinatorics...

Combinatorial commutative algebra Polyhedral combinatorics Algebraic Combinatorics (journal) Journal of Algebraic Combinatorics International Conference on Formal...

In combinatorics, an abstract simplicial complex (ASC), often called an abstract complex or just a complex, is a family of sets that is closed under taking...

In polyhedral combinatorics, a branch of mathematics, Steinitz's theorem is a characterization of the undirected graphs formed by the edges and vertices...

MR 0936614 Thomas, Rekha R. (2006), "Chapter 5: Gale Diagrams", Lectures in Geometric Combinatorics, Student Mathematical Library, vol. 33, Institute for Advanced...

In mathematics, the polynomial method is an algebraic approach to combinatorics problems that involves capturing some combinatorial structure using polynomials...

In group theory, more precisely in geometric group theory, a hyperbolic group, also known as a word hyperbolic group or Gromov hyperbolic group, is a finitely...

Theorem: Lectures on Topological Methods in Combinatorics and Geometry (2nd ed.). Berlin-Heidelberg: Springer-Verlag. ISBN 978-3-540-00362-5. Written in cooperation...

In polyhedral combinatorics, the hypersimplex Δ d , k {\displaystyle \Delta _{d,k}} is a convex polytope that generalizes the simplex. It is determined...

László; Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag...

the Combinatorics chair at the Collège de France, a director of research at the University of Cambridge and a Fellow of Trinity College, Cambridge. In 1998...

In arithmetic combinatorics, Szemerédi's theorem is a result concerning arithmetic progressions in subsets of the integers. In 1936, Erdős and Turán conjectured...

Computational Geometry, Graphs and Combinatorics, Central European Journal of Mathematics, and Moscow Journal of Combinatorics and Number Theory. He was an...

therefore of great use in the fields of combinatorics and geometric group theory. Margulis lemma Ballmann, Werner (1995). Lectures on spaces of nonpositive...

Reiner, Victor; Sturmfels, Bernd (2007), Geometric Combinatorics: Lectures from the Graduate Summer School held in Park City, UT, 2004, IAS/Park City Mathematics...

In mathematics, a building (also Tits building, named after Jacques Tits) is a combinatorial and geometric structure which simultaneously generalizes certain...

Theorem: Lectures on Topological Methods in Combinatorics and Geometry (2nd ed.). Berlin-Heidelberg: Springer-Verlag. ISBN 978-3-540-00362-5. Written in cooperation...