集合覆盖多面体的顶点邻接
Vertex adjacencies in the set covering polyhedron
摘要:
我们描述的(无界版本的)集覆盖多面体的顶点的邻接,以类似的方式由Chvatal的独立集多面体的描述。我们找到了邻接的一个充分条件,并在矩阵是行循环矩阵的情况下用类似的条件刻画了它。我们应用我们的研究结果,以显示一个新的无限家庭的极小非理想矩阵。
英文摘要:
We describe the adjacency of vertices of the (unbounded version of the) set covering polyhedron, in a similar way to the description given by Chvatal for the stable set polytope. We find a sufficient condition for adjacency, and characterize it with similar conditions in the case where the underlying matrix is row circular. We apply our findings to show a new infinite family of minimally nonideal matrices.
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