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 (at least 3, if the graph is simple) connected in a closed …

Jul 23, 2025 · A cyclic graph is defined as a graph that contains at least one cycle which is a path that begins and ends at the same node, without passing through any other node twice.

Dec 3, 2025 · In graph theory, a cycle graph C_n, sometimes simply known as an n-cycle (Pemmaraju and Skiena 2003, p. 248), is a graph on n nodes containing a single cycle through …

Jul 12, 2025 · We can call a graph as a cycle graph if there is the same starting and last vertex, but there should not be any repeated edges.

Since the graph is made up of a bunch of cycles, each vertex has an option: to be in each cycle, or not. If it's in a particular cycle (for example, in the red cycle), that cycle contributes two …

In this engaging video, we will define cycle graphs and discuss their unique characteristics, including the requirement of at least three vertices to form a valid loop.

Aug 17, 2025 · Some sources specify that a cycle must indeed have at least $3$ edges, presupposing that the graph in which it is embedded is by definition a simple graph. Some …

We call a graph acyclic if it contains no cycles. The next theorem is useful to determine whether an edge is a cut edge by checking that if it is contained in any cycles.

A cyclic graph is a graph that contains at least one cycle, which means there is a path that starts and ends at the same vertex without traversing any edge more than once.

May 25, 1999 · A cycle of a Graph is a subset of the Edge -set of the Graph which forms a Chain (Graph), the first node of which is also the last. This type of cycle is also called a Circuit.