discipline of topological combinatorics is the application of topological and algebro-topological methods to solving problems in combinatorics. The discipline...

making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph...

a problem in combinatorics – when László Lovász proved the Kneser conjecture, thus beginning the new study of topological combinatorics. Lovász's proof...

Probabilistic combinatorics Topological combinatorics Coding theory Combinatorial optimization Combinatorics and dynamical systems Combinatorics and physics Discrete...

formulae. Topological combinatorics concerns the use of techniques from topology and algebraic topology/combinatorial topology in combinatorics. Design...

mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space which has only...

calculus Topology Topological combinatorics the application of methods from algebraic topology to solve problems in combinatorics. Topological degree theory...

Theorem: Lectures on Topological Methods in Combinatorics and Geometry is a graduate-level mathematics textbook in topological combinatorics. It describes the...

processing and topological combinatorics. Discrete Laplace operator Discrete exterior calculus Discrete Morse theory Topological combinatorics Spectral shape...

Geometric combinatorics is a branch of mathematics in general and combinatorics in particular. It includes a number of subareas such as polyhedral combinatorics...

other graphs are both instances of topological embedding, homeomorphism of graphs is just the specialization of topological homeomorphism, the notion of a...

from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though...

combinatorics, extremal combinatorics, graph theory, ordered sets, random methods, and topological combinatorics. European Prize in Combinatorics Eurocomb'01 (Barcelona)...

topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that...

called the vertices and the edges of the topological graph. It is usually assumed that any two edges of a topological graph cross a finite number of times...

Poincaré–Miranda theorem – equivalent to the Brouwer fixed-point theorem Topological combinatorics E.g. F & V Bayart Théorèmes du point fixe on [email protected] Archived...

} However, in general this is not true for other functions A. Topological combinatorics Necklace splitting problem Ham sandwich theorem Kakutani's theorem...

Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin, doi:10.1007/978-3-642-78240-4, ISBN 978-3-642-78242-8, MR 1261419 Topological combinatorics...

Method of computing optimal strategies for last-success problems Topological combinatorics – Mathematical subject Truth table – Mathematical table used in...

In mathematics, particularly in combinatorics, given a family of sets, here called a collection C, a transversal (also called a cross-section) is a set...

Jiří (2007). Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (2nd ed.). Berlin-Heidelberg: Springer-Verlag...

Her research concerns algebraic combinatorics, topological combinatorics, and the connections between combinatorics and other fields of mathematics....

Probabilistic methods in combinatorics, Academic Press, 1974. M. Li, P. M. B. Vitanyi, "Kolmogorov complexity arguments in combinatorics", J. Combinatorial...

Mathematica. Björner is a recognized expert in algebraic and topological combinatorics. He is a 1983 recipient of the Pólya Prize, and is a member of...

initiated the "Stockholm School" of topological combinatorics (combining simplicial homology and enumerative combinatorics). Kjell-Ove Widman (2004). "Household...

Alexandrov topology on the order complex associated to (S, ≤). Topological combinatorics Poset Topology: Tools and Applications Michelle L. Wachs, lecture...

field of arithmetic combinatorics. Also dynamical systems theory is heavily involved in the relatively recent field of combinatorics on words. Also combinatorial...

notions form the basis of topological definitions of polyhedra, as subdivisions of a topological manifold into topological disks (the faces) whose pairwise...

in his work Characteristica Geometrica. Hauptvermutung Topological combinatorics Topological graph theory For example L'émergence de la notion de groupe...

Patricia Hersh (born 1973), American expert on algebraic and topological combinatorics Bobby Hersom (born 1929), British mathematician and computer scientist...