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Minimum odd neighbourhood covers for trees

  • Track 4: Algorithms
  • Conference paper
  • First Online:
Computing in the 90's (Great Lakes CS 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 507))

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Abstract

Finding the smallest odd neighbourhood cover (odd N-cover) of an arbitrary graph is known to be NP-complete. We observe that there exist trees with an exponential number of odd N-covers, and present a polynomial-time algorithm to determine a minimum cardinality odd N-cover of a tree.

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References

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Author information

Authors and Affiliations

  1. Queen's University, Kingston, Ontario

    Robin W. Dawes

Authors
  1. Robin W. Dawes
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Editor information

Naveed A. Sherwani Elise de Doncker John A. Kapenga

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© 1991 Springer-Verlag Berlin Heidelberg

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Dawes, R.W. (1991). Minimum odd neighbourhood covers for trees. In: Sherwani, N.A., de Doncker, E., Kapenga, J.A. (eds) Computing in the 90's. Great Lakes CS 1989. Lecture Notes in Computer Science, vol 507. Springer, New York, NY. https://doi.org/10.1007/BFb0038488

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  • DOI: https://doi.org/10.1007/BFb0038488

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97628-0

  • Online ISBN: 978-0-387-34815-5

  • eBook Packages: Springer Book Archive

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