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The Forest Wrapping Problem on Outerplanar Graphs

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Book cover Graph-Theoretic Concepts in Computer Science (WG 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2573))

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Abstract

In this paper we study the Forest Wrapping Problem (FWP) which can be stated as follows: given a connected graph G = (V,E), with ∣V ∣ = n, let π0 be a partition of G into K (not necessarily connected) components, find a connected partition π* of G that wraps π0 and has maximum number of components. The Forest Wrapping problem is NP-complete on grid graphs while is solvable in O(n log n) time on ladder graphs. We provide a two-phase O(n 2) time algorithm for solving FWP on outerplanar graphs.

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References

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Author information

Authors and Affiliations

  1. Dip. Statistica, Probabilità e Statistiche Applicate, Università di Roma “La Sapienza”, Italy

    Isabella Lari & Federica Ricca

  2. Dip. Matematica per le Decisioni Economiche, Finanziarie ed Assicurative Università di Roma “La Sapienza”, Italy

    Andrea Scozzari

Authors
  1. Isabella Lari
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  2. Federica Ricca
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  3. Andrea Scozzari
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Editor information

Editors and Affiliations

  1. Karlsruhe University, Germany

    Gerhard Goos

  2. Cornell University, NY, USA

    Juris Hartmanis

  3. Utrecht University, The Netherlands

    Jan van Leeuwen

  4. Department of Applied Mathematics, Charles University, Malostranské nám. 25, 118 00, Prague, Czech Republic

    Luděk Kučera

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© 2002 Springer-Verlag Berlin Heidelberg

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Lari, I., Ricca, F., Scozzari, A. (2002). The Forest Wrapping Problem on Outerplanar Graphs. In: Goos, G., Hartmanis, J., van Leeuwen, J., Kučera, L. (eds) Graph-Theoretic Concepts in Computer Science. WG 2002. Lecture Notes in Computer Science, vol 2573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36379-3_30

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  • DOI: https://doi.org/10.1007/3-540-36379-3_30

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00331-1

  • Online ISBN: 978-3-540-36379-8

  • eBook Packages: Springer Book Archive

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