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Regular icosahedron and Symmetric graph

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

Difference between Regular icosahedron and Symmetric graph

Regular icosahedron vs. Symmetric graph

In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices. In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of G, there is an automorphism such that In other words, a graph is symmetric if its automorphism group acts transitively upon ordered pairs of adjacent vertices (that is, upon edges considered as having a direction).

Similarities between Regular icosahedron and Symmetric graph

Regular icosahedron and Symmetric graph have 8 things in common (in Unionpedia): Distance (graph theory), Distance-transitive graph, Dodecahedron, Graph (discrete mathematics), Graph automorphism, Icosahedron, Octahedron, Regular graph.

Distance (graph theory)

In the mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path (also called a graph geodesic) connecting them.

Distance (graph theory) and Regular icosahedron · Distance (graph theory) and Symmetric graph · See more »

Distance-transitive graph

In the mathematical field of graph theory, a distance-transitive graph is a graph such that, given any two vertices v and w at any distance i, and any other two vertices x and y at the same distance, there is an automorphism of the graph that carries v to x and w to y.

Distance-transitive graph and Regular icosahedron · Distance-transitive graph and Symmetric graph · See more »

Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

Dodecahedron and Regular icosahedron · Dodecahedron and Symmetric graph · See more »

Graph (discrete mathematics)

In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

Graph (discrete mathematics) and Regular icosahedron · Graph (discrete mathematics) and Symmetric graph · See more »

Graph automorphism

In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge–vertex connectivity.

Graph automorphism and Regular icosahedron · Graph automorphism and Symmetric graph · See more »

Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

Icosahedron and Regular icosahedron · Icosahedron and Symmetric graph · See more »

Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

Octahedron and Regular icosahedron · Octahedron and Symmetric graph · See more »

Regular graph

In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency.

Regular graph and Regular icosahedron · Regular graph and Symmetric graph · See more »

The list above answers the following questions

Regular icosahedron and Symmetric graph Comparison

Regular icosahedron has 163 relations, while Symmetric graph has 46. As they have in common 8, the Jaccard index is 3.83% = 8 / (163 + 46).

References

This article shows the relationship between Regular icosahedron and Symmetric graph. To access each article from which the information was extracted, please visit:

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