Some Conditions for the Existence of (d,k)-Digraphs

  • Yus Mochamad Cholily
  • Edy Tri Baskoro
  • Saladin Uttunggadewa
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3330)


A (d,k)-digraph is a diregular digraph of degree d ≥ 4, diameter k ≥ 3 and the number of vertices d + d 2 + ... + d k . The existence problem of (d,k)-digraphs is one of difficult problem. In this paper, we will present some new necessary conditions for the existence of such digraphs.


Directed Graph Discrete Mathematic Internal Vertex Directed Cycle Result Proof 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Yus Mochamad Cholily
    • 1
  • Edy Tri Baskoro
    • 1
  • Saladin Uttunggadewa
    • 1
  1. 1.Department of MathematicsInstitut Teknologi Bandung (ITB)BandungIndonesia

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