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Acta Mathematica Vietnamica

A GLOBAL OPTIMIZATION METHOD FOR MINIMUM MAXIMAL FLOW PROBLEM

J. SHI, Y. YAMAMOTO

Abstract

In this paper, we present two approaches for solving an NP-hard problem: minimum maximal flow problem, i.e., min{ξ|ξ is a maximal flow}. We introduce lower bounds on flow, and cast the problem into a minimization of a concave function over a convex set. We solve the problem by a global optimization method. As an application, we consider the minimum maximal matching problem. Some numerical experiments are also reported.

8.1.30PHP Version390msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
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  • warninglog[21:48:45] LOG.warning: Since league/commonmark 2.2.0: Calling "convertToHtml()" on a League\CommonM...
  • Booting (43.78ms)
  • Application (346ms)
  • 1 x Application (88.76%)
    346ms
    1 x Booting (11.23%)
    43.78ms
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
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