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Kuratowski's theorem and Planar graph

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

Difference between Kuratowski's theorem and Planar graph

Kuratowski's theorem vs. Planar graph

In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints.

Similarities between Kuratowski's theorem and Planar graph

Kuratowski's theorem and Planar graph have 14 things in common (in Unionpedia): Complete bipartite graph, Complete graph, Euler characteristic, Fáry's theorem, Forbidden graph characterization, Graph minor, Graph theory, Homeomorphism (graph theory), Kazimierz Kuratowski, Line segment, Planarity testing, Robertson–Seymour theorem, Three utilities problem, Wagner's theorem.

Complete bipartite graph

No description.

Complete bipartite graph and Kuratowski's theorem · Complete bipartite graph and Planar graph · See more »

Complete graph

No description.

Complete graph and Kuratowski's theorem · Complete graph and Planar graph · See more »

Euler characteristic

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

Euler characteristic and Kuratowski's theorem · Euler characteristic and Planar graph · See more »

Fáry's theorem

In mathematics, Fáry's theorem states that any simple planar graph can be drawn without crossings so that its edges are straight line segments.

Fáry's theorem and Kuratowski's theorem · Fáry's theorem and Planar graph · See more »

Forbidden graph characterization

In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to the family and further exclude all graphs from the family which contain any of these forbidden graphs as (induced) subgraph or minor.

Forbidden graph characterization and Kuratowski's theorem · Forbidden graph characterization and Planar graph · See more »

Graph minor

In graph theory, an undirected graph H is called a minor of the graph G if H can be formed from G by deleting edges and vertices and by contracting edges.

Graph minor and Kuratowski's theorem · Graph minor and Planar graph · See more »

Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

Graph theory and Kuratowski's theorem · Graph theory and Planar graph · See more »

Homeomorphism (graph theory)

In graph theory, two graphs G and G' are homeomorphic if there is a graph isomorphism from some subdivision of G to some subdivision of G'.

Homeomorphism (graph theory) and Kuratowski's theorem · Homeomorphism (graph theory) and Planar graph · See more »

Kazimierz Kuratowski

Kazimierz Kuratowski (Polish pronunciation:, 2 February 1896 – 18 June 1980) was a Polish mathematician and logician.

Kazimierz Kuratowski and Kuratowski's theorem · Kazimierz Kuratowski and Planar graph · See more »

Line segment

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Kuratowski's theorem and Line segment · Line segment and Planar graph · See more »

Planarity testing

In graph theory, the planarity testing problem is the algorithmic problem of testing whether a given graph is a planar graph (that is, whether it can be drawn in the plane without edge intersections).

Kuratowski's theorem and Planarity testing · Planar graph and Planarity testing · See more »

Robertson–Seymour theorem

In graph theory, the Robertson–Seymour theorem (also called the graph minor theorem) states that the undirected graphs, partially ordered by the graph minor relationship, form a well-quasi-ordering.

Kuratowski's theorem and Robertson–Seymour theorem · Planar graph and Robertson–Seymour theorem · See more »

Three utilities problem

The classical mathematical puzzle known as the three utilities problem; the three cottages problem or sometimes water, gas and electricity can be stated as follows: The problem is an abstract mathematical puzzle which imposes constraints that would not exist in a practical engineering situation.

Kuratowski's theorem and Three utilities problem · Planar graph and Three utilities problem · See more »

Wagner's theorem

In graph theory, Wagner's theorem is a mathematical forbidden graph characterization of planar graphs, named after Klaus Wagner, stating that a finite graph is planar if and only if its minors include neither K5 (the complete graph on five vertices) nor K3,3 (the utility graph, a complete bipartite graph on six vertices).

Kuratowski's theorem and Wagner's theorem · Planar graph and Wagner's theorem · See more »

The list above answers the following questions

Kuratowski's theorem and Planar graph Comparison

Kuratowski's theorem has 32 relations, while Planar graph has 100. As they have in common 14, the Jaccard index is 10.61% = 14 / (32 + 100).

References

This article shows the relationship between Kuratowski's theorem and Planar graph. To access each article from which the information was extracted, please visit:

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