Chapter

Graph Theory

Volume 1018 of the series Lecture Notes in Mathematics pp 248-256

Date:

On Halin graphs

  • Maciej M. SysłoAffiliated withInstitute of Computer Science, University of Wrocław
  • , Andrzej ProskurowskiAffiliated withDepartment of Computer and Information Science, University of Oregon

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Abstract

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.