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Bipartite graphs are extensively used in modern coding theory, especially to decode codewords received from the channel. Factor graphs and Tanner graphs are examples of this. A Tanner graph is a bipartite graph in which the vertices on one side of the bipartition represent digits of a codeword, and the vertices on the other side represent combinations of digits that are expected to sum to zero in a codeword without errors.

Bipartite graphs are extensively used in modern coding theory, especially to decode codewords received from the channel. Factor graphs and Tanner graphs are examples of this. A Tanner graph is a bipartite graph in which the vertices on one side of the bipartition represent digits of a codeword, and the vertices on the other side represent combinations of digits that are expected to sum to zero in a codeword without errors.

二分图广泛使用于现代编码理论中，尤其是在对从通道接收到的密码进行解码领域。例如'''<font color="#ff8000"> 因子图Factor graphs</font>'''和'''<font color="#ff8000"> 坦纳图Tanner graphs</font>'''。Tanner图是二分图，其中二分的一侧顶点表示一个密码数字，另一侧顶点表示一个数字的组合，这些数字的总和期望为零且不存在误差。因子图与置信网络密切相关，可用于LDPC和Turbo码的概率解码。

二分图广泛应用于现代编码理论中，尤其是在对从通道接收到的密码进行解码领域。例如'''<font color="#ff8000"> 因子图Factor graphs</font>'''和'''<font color="#ff8000"> 坦纳图Tanner graphs</font>'''。Tanner图是二分图，其中二分的一侧顶点表示一个密码数字，另一侧顶点表示一个数字的组合，这些数字的总和期望为零且不存在误差。因子图与置信网络密切相关，可用于LDPC和Turbo码的概率解码。