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The hull number of an oriented graph

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  • Gary Chartrand
  • John Frederick Fink
  • Ping Zhang

Abstract

We present characterizations of connected graphs G of order n ≥ 2 for which h + ( G ) = n . It is shown that for every two integers n and m with 1 ≤ n − 1 ≤ m ≤ ( n 2 ) , there exists a connected graph G of order n and size m such that for each integer k with 2 ≤ k ≤ n , there exists an orientation of G with hull number G .

Suggested Citation

  • Gary Chartrand & John Frederick Fink & Ping Zhang, 2003. "The hull number of an oriented graph," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:626098
    DOI: 10.1155/S0161171203210577
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