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Circulant graph and Cyclic group

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

Difference between Circulant graph and Cyclic group

Circulant graph vs. Cyclic group

In graph theory, a circulant graph is an undirected graph that has a cyclic group of symmetries which takes any vertex to any other vertex. In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

Similarities between Circulant graph and Cyclic group

Circulant graph and Cyclic group have 8 things in common (in Unionpedia): Automorphism, Cayley graph, Coprime integers, Cycle graph, Graph automorphism, Prime number, Subgroup, Vertex-transitive graph.

Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

Automorphism and Circulant graph · Automorphism and Cyclic group · See more »

Cayley graph

In mathematics, a Cayley graph, also known as a Cayley colour graph, Cayley diagram, group diagram, or colour group is a graph that encodes the abstract structure of a group.

Cayley graph and Circulant graph · Cayley graph and Cyclic group · See more »

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

Circulant graph and Coprime integers · Coprime integers and Cyclic group · See more »

Cycle graph

In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices connected in a closed chain.

Circulant graph and Cycle graph · Cycle graph and Cyclic group · 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.

Circulant graph and Graph automorphism · Cyclic group and Graph automorphism · See more »

Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

Circulant graph and Prime number · Cyclic group and Prime number · See more »

Subgroup

In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗.

Circulant graph and Subgroup · Cyclic group and Subgroup · See more »

Vertex-transitive graph

In the mathematical field of graph theory, a vertex-transitive graph is a graph G such that, given any two vertices v1 and v2 of G, there is some automorphism such that In other words, a graph is vertex-transitive if its automorphism group acts transitively upon its vertices.

Circulant graph and Vertex-transitive graph · Cyclic group and Vertex-transitive graph · See more »

The list above answers the following questions

Circulant graph and Cyclic group Comparison

Circulant graph has 35 relations, while Cyclic group has 106. As they have in common 8, the Jaccard index is 5.67% = 8 / (35 + 106).

References

This article shows the relationship between Circulant graph and Cyclic group. To access each article from which the information was extracted, please visit:

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