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A 3-approximation for the pathwidth of Halin graphs
Authors:Fedor V. Fomin  Dimitrios M. Thilikos  
Affiliation:

aDepartment of Informatics, University of Bergen N-5020, Bergen, Norway

bDepartament de Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, E-08034, Barcelona, Spain

Abstract:We prove that the pathwidth of Halin graphs can be 3-approximated in linear time. Our approximation algorithms is based on a combinatorial result about respectful edge orderings of trees. Using this result we prove that the linear width of Halin graph is always at most three times the linear width of its skeleton.
Keywords:Halin graph   Pathwidth   Linear width
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