Planar packing of trees and spider trees

  • Authors:
  • Fabrizio Frati;Markus Geyer;Michael Kaufmann

  • Affiliations:
  • Dipartimento di Informatica e Automazione, Università Roma Tre, Italy;Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Germany;Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Germany

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

In [A. Garcia, C. Hernando, F. Hurtado, M. Noy, J. Tejel, Packing trees into planar graphs, J. Graph Theory (2002) 172-181] Garcia et al. conjectured that for every two non-star trees there exists a planar graph containing them as edge-disjoint subgraphs. In this paper we prove the conjecture in the case in which one of the trees is a spider tree.