MATHEMATICAL ENGINEERING TECHNICAL REPORTS A Lower Bound for the Graver Complexity of the Incidence Matrix of a Complete Bipartite Graph
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چکیده
We give an exponential lower bound for the Graver complexity of the incidence matrix of a complete bipartite graph of arbitrary size. Our result is a generalization of the result by Berstein and Onn [2] for the complete bipartite graph K3,r, r ≥ 3.
منابع مشابه
The Graver Complexity of Integer Programming
Yael Berstein Shmuel Onn Abstract In this article we establish an exponential lower bound on the Graver complexity of integer programs. This provides new type of evidence supporting the presumable intractability of integer programming. Specifically, we show that the Graver complexity of the incidence matrix of the complete bipartite graph K3,m satisfies g(m) = Ω(2 ), with g(m) ≥ 17 ·2−7 for eve...
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تاریخ انتشار 2011