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The Minimum Size of Digraphs Satisfying Directed Cut Conditions

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  • Huawen Ma
  • Guozeng Cui

Abstract

A directed graph (digraph) D of order n satisfies directed cut condition DCC if there are at least S arcs from any set S⊆VD, S≤n/2 to its complement S¯=VD/S. We show that a digraph D of even order n has at least 2n−3 arcs if D satisfies DCC.

Suggested Citation

  • Huawen Ma & Guozeng Cui, 2022. "The Minimum Size of Digraphs Satisfying Directed Cut Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-6, February.
    • Handle: RePEc:hin:jnlmpe:5815591
    DOI: 10.1155/2022/5815591
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