Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Combinatorial commutative algebra and Polyhedral combinatorics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Combinatorial commutative algebra and Polyhedral combinatorics

Combinatorial commutative algebra vs. Polyhedral combinatorics

Combinatorial commutative algebra is a relatively new, rapidly developing mathematical discipline. Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

Similarities between Combinatorial commutative algebra and Polyhedral combinatorics

Combinatorial commutative algebra and Polyhedral combinatorics have 7 things in common (in Unionpedia): Combinatorics, Convex polytope, H-vector, Mathematics, Simplicial polytope, Simplicial sphere, Upper bound theorem.

Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

Combinatorial commutative algebra and Combinatorics · Combinatorics and Polyhedral combinatorics · See more »

Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.

Combinatorial commutative algebra and Convex polytope · Convex polytope and Polyhedral combinatorics · See more »

H-vector

In algebraic combinatorics, the h-vector of a simplicial polytope is a fundamental invariant of the polytope which encodes the number of faces of different dimensions and allows one to express the Dehn–Sommerville equations in a particularly simple form.

Combinatorial commutative algebra and H-vector · H-vector and Polyhedral combinatorics · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Combinatorial commutative algebra and Mathematics · Mathematics and Polyhedral combinatorics · See more »

Simplicial polytope

In geometry, a simplicial polytope is a polytope whose facets are all simplices.

Combinatorial commutative algebra and Simplicial polytope · Polyhedral combinatorics and Simplicial polytope · See more »

Simplicial sphere

In geometry and combinatorics, a simplicial (or combinatorial) d-sphere is a simplicial complex homeomorphic to the ''d''-dimensional sphere.

Combinatorial commutative algebra and Simplicial sphere · Polyhedral combinatorics and Simplicial sphere · See more »

Upper bound theorem

In mathematics, the upper bound theorem states that cyclic polytopes have the largest possible number of faces among all convex polytopes with a given dimension and number of vertices.

Combinatorial commutative algebra and Upper bound theorem · Polyhedral combinatorics and Upper bound theorem · See more »

The list above answers the following questions

Combinatorial commutative algebra and Polyhedral combinatorics Comparison

Combinatorial commutative algebra has 27 relations, while Polyhedral combinatorics has 64. As they have in common 7, the Jaccard index is 7.69% = 7 / (27 + 64).

References

This article shows the relationship between Combinatorial commutative algebra and Polyhedral combinatorics. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »