Abstract

In this paper we enhance the PLA relational spatial model for storing a special type of planar graphs. The PLA-model is very handy to store 2-connected planar graphs, but it is not capable at all to store some other important classes of planar graphs: trees and, more generally, planar graphs with cut edges. In this paper we propose a method for their representation. The main idea is based on Halin graphs that are planar graphs of minimum degree 3 from which the removal of the boundary edges of the infinite region yields a tree. Our results are to identify Halin graphs from the model, and to represent trees as virtual Halin graphs in order to store them without major alteration of the original PLA-Model.

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