The Decycling Number of Cubic Graphs

  • Narong Punnim
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3330)


For a graph G, a subset SV(G), is said to be a decycling set of G if if GS is acyclic. The cardinality of smallest decycling set of G is called the decycling number of G and it is denoted by φ(G).

Bau and Beineke posed the following problems: Which cubic graphs G with | G | = 2n satisfy \(\phi(G)=\lceil{\frac{n+1}{2}}\rceil\)? In this paper, we give an answer to this problem.


Degree sequence decycling number cubic graph 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Narong Punnim
    • 1
  1. 1.Department of MathematicsSrinakharinwirot UniversityBangkokThailand

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