 ##  [Girth](/girth) 

  ##  [Girth](https://mathlogic.quantumdictionary.io/girth-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

The length (number of edges) of the shortest cycle in a graph; defined as infinity if the graph contains no cycles (i.e., is a forest).