Ela Conditions for a Totally Positive Completion in the Case of a Symmetrically Placed Cycle

نویسندگان

  • CHARLES R. JOHNSON
  • BRENDA K. KROSCHEL
چکیده

Abstract. In earlier work, the labelled graphs G for which every combinatorially symmetric totally nonnegative matrix, the graph of whose specified entries is G, has a totally nonnegative completion were identified. For other graphs, additional conditions on the specified data must hold. Here, necessary and sufficient conditions on the specified data, when G is a cycle, are given for both the totally nonnegative and the totally positive completion problems.

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تاریخ انتشار 2011