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Français : Un cycle thermodynamique décrit sur un diagramme pression-volume. A et C sont des évolutions à pression constante (isobares), B et D sont des évolutions à volume constant (isochores).
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A directed cycle graph of length 8. A directed cycle graph is a directed version of a cycle graph, with all the edges being oriented in the same direction. In a directed graph, a set of edges which contains at least one edge (or arc) from each directed cycle is called a feedback arc set.
The circuit rank of a hypergraph can be derived by its Levi graph, with the same circuit rank but reduced to a simple graph. r = g − ( v + e ) + c {\displaystyle r=g-(v+e)+c} where g is the degree sum , e is the number of edges in the given graph, v is the number of vertices , and c is the number of connected components .
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A fundamental cycle basis may be formed from any spanning tree or spanning forest of the given graph, by selecting the cycles formed by the combination of a path in the tree and a single edge outside the tree. Alternatively, if the edges of the graph have positive weights, the minimum weight cycle basis may be constructed in polynomial time.