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→Characterization 特征表述
* A graph is bipartite [[if and only if]] it does not contain an [[Cycle (graph theory)|odd cycle]]. Theorem 2.1.3, p. 8. Asratian et al. attribute this characterization to a 1916 paper by [[Dénes Kőnig]]. For infinite graphs, this result requires the [[axiom of choice]].
* A graph is bipartite [[if and only if]] it does not contain an [[Cycle (graph theory)|odd cycle]]. Theorem 2.1.3, p. 8. Asratian et al. attribute this characterization to a 1916 paper by [[Dénes Kőnig]]. For infinite graphs, this result requires the [[axiom of choice]].
* 当且仅当它不包含奇数环的时候，该图为二分图。
* 当且仅当它不包含奇数环的时候，该图为二分图。（定理 2.1.3，p.8.Asratian 等人将这种描述归因于 [[Dénes Kőnig]] 的 1916 年论文。对于无限图，这个结果需要 [[公理选择]]。）
* A graph is bipartite if and only if it is 2-colorable, (i.e. its [[chromatic number]] is less than or equal to 2).
* A graph is bipartite if and only if it is 2-colorable, (i.e. its [[chromatic number]] is less than or equal to 2).