Graphs have cycles from "summary" of Introduction to Graph Theory by Douglas Brent West
Graphs are used to represent relationships between objects and can contain cycles, which are paths that start and end at the same node. Cycles are an important part of graph theory, as they show the interconnectedness of objects and help to illustrate the structure of a graph.- Graphs may contain distinct, repeating pathways, known as cycles.
- Any two vertices that lie on the same cycle are said to be related through the cycle.
- The length of a cycle can be determined by counting the number of edges present within it.
- Several algorithms exist to detect and identify graph cycles of various types.
- While a graph can have any number of cycles, in its most basic form it consists of just one.
- When we consider directed graphs, simple paths must only involve vertices that increase in connectivity irrespective of direction.
