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<p><big>Definitions</big></p>
<p>The cycle space of a graph can be described with increasing levels of mathematical sophistication as a set of subgraphs, as a binary <a href="page.php?w=vector_space">vector space</a>, or as a <a href="page.php?w=homology_group">homology group</a>.</p>

<p><big>Graph theory</big></p>
<p>A <a href="page.php?w=Glossary_of_graph_theory">spanning subgraph</a> of a given graph G may be defined from any subset S of the edges of G. The subgraph has the same set of <a href="page.php?w=Vertex_%28graph_theory%29">vertices</a> as G itself (this</p><p>
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