Lecture Notes in Mathematics Volume 1018, 1983, pp 248-256
Date: 07 Sep 2006

On Halin graphs

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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.

This paper presents results of research done when the first author was visiting Department of Computer and Information Science at the University of Oregon in June 1980.