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MPI-I-98-1-010

2-Approximation algorithm for finding a spanning tree with maximum number of leaves

Solis-Oba, Roberto

April 1998, 16 pages.

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Status: available - back from printing

We study the problem of finding a spanning tree with maximum number of leaves. We present a simple 2-approximation algorithm for the problem, improving on the previous best performance ratio of 3 achieved by algorithms of Ravi and Lu. Our algorithm can be implemented to run in linear time using simple data structures. We also study the variant of the problem in which a given subset of vertices are required to be leaves in the tree. We provide a 5/2-approximation algorithm for this version of the problem.

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URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1998-1-010

Hide details for BibTeXBibTeX
@TECHREPORT{Solis-Oba98,
  AUTHOR = {Solis-Oba, Roberto},
  TITLE = {2-Approximation algorithm for finding a spanning tree with maximum number of leaves},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-98-1-010},
  MONTH = {April},
  YEAR = {1998},
  ISSN = {0946-011X},
}