Cycle space

In the context of graph theory, a **cycle space** is a fundamental concept associated with the study of cycles in graphs. Specifically, it is a vector space formed by the cycles of a graph when considered over a field (typically the field of two elements, often denoted as GF(2)). Here’s a more detailed breakdown: 1. **Graph Basics**: A graph is defined as a collection of vertices (or nodes) connected by edges.