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A linear expected-time algorithm for computing planar relative neighbourhood graphs

โœ Scribed by Jyrki Katajainen; Olli Nevalainen; Jukka Teuhola


Book ID
113163150
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
713 KB
Volume
25
Category
Article
ISSN
0020-0190

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In this paper we give a simple linear-time algorithm to find such a partition if G is a 4-connected planar graph and ~1. ~2. 143 and u4 are located on the same face of a plane embedding of G. Our algorithm is based on a "4canonical decomposition" of G, which is a generalization of an St-numbering an