Graph Theory pp 248-256

On Halin graphs

  • Maciej M. Sysło
  • Andrzej Proskurowski
Conference paper

DOI: 10.1007/BFb0071635

Part of the Lecture Notes in Mathematics book series (LNM, volume 1018)
Cite this paper as:
Sysło M.M., Proskurowski A. (1983) On Halin graphs. In: Borowiecki M., Kennedy J.W., Sysło M.M. (eds) Graph Theory. Lecture Notes in Mathematics, vol 1018. Springer, Berlin, Heidelberg


The paper deals with a subfamily of those planar graphs which have outerplanar intersection of their MacLane cycle basis. These graphs have been known as Halin graphs. Their connectivity properties, structure of cycles, and feasible embeddings in the plane are discussed here. This paper also presents some initial investigations of NP-complete problems restricted to the family of Halin graphs.


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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Maciej M. Sysło
    • 1
  • Andrzej Proskurowski
    • 2
  1. 1.Institute of Computer ScienceUniversity of WrocławWrocławPoland
  2. 2.Department of Computer and Information ScienceUniversity of OregonEugeneUSA

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