Definition:Cycle Graph
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Definition
A cycle graph is a graph which consists of a single cycle.
The cycle graph of order $n$ is denoted $C_n$.
A cycle graph is $2$-regular.
Examples
Also see
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- From Characteristics of Eulerian Graph, it is clear that every cycle graph is Eulerian.
- It is also trivially clear that every cycle graph is Hamiltonian.
- $C_n$ is bipartite if and only if $n$ is even.
- $C_1$ is a loop-graph.
- $C_2$ is a multigraph.
- $C_3$ is the complete graph $K_3$.
- $C_4$ is the complete bipartite graph $K_{2, 2}$.