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Bipartite realization problem : ウィキペディア英語版
Bipartite realization problem
The bipartite realization problem is a classical decision problem in graph theory, a branch of combinatorics. Given two finite sequences (a_1,\dots,a_n) and (b_1,\dots,b_n) of natural numbers, the problem asks whether there is labeled simple bipartite graph such that (a_1,\dots,a_n),(b_1,\dots,b_n) is the degree sequence of this bipartite graph.
==Solutions==
The problem belongs to the complexity class P. This can be proven using the Gale–Ryser theorem, i.e. one has to validate the correctness of n inequalities.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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