"cycle" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- Thus, discovering whether a graph has any odd cycles tells one whether it is bipartite and vice versa.
- A graph is bipartite if and only if it does not contain an odd cycle.
- Correspondingly, the chromatic number of an odd cycle is three.
- Surely he would break out of this odd cycle if he climbed up another level.
- More generally, a graph is bipartite if and only if it has no odd cycles (Kőnig, 1936).
- Removing this edge from the odd cycle leaves a path, which may be colored using the two colors for its subgraph.
- This result, known today as the Erdős-Pósa theorem, cannot be extended to odd cycles.
- For 2D layouts double patterning compliance errors occur when there are odd cycles of minimum spaces.
- However, if there exists at least one odd cycle, then no 2-edge-coloring is possible.
- Brooks' theorem states that with two exceptions (cliques and odd cycles) at most Δ colors are needed.
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