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Hamiltonian Cycles in Subcubic Graphs: What Makes the Problem Difficult

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Theory and Applications of Models of Computation (TAMC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6108))

Abstract

We study the computational complexity of the hamiltonian cycle problem in the class of graphs of vertex degree at most 3. Our goal is to distinguish boundary properties of graphs that make the problem difficult (NP-complete) in this domain. In the present paper, we discover the first boundary class of graphs for the hamiltonian cycle problem in subcubic graphs.

Research supported by the Centre for Discrete Mathematics and Its Applications (DIMAP), University of Warwick.

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Author information

Authors and Affiliations

  1. DIMAP, University of Warwick, Coventry, CV4 7AL, UK

    Nicholas Korpelainen, Vadim V. Lozin & Alexander Tiskin

  2. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

    Nicholas Korpelainen & Vadim V. Lozin

  3. Department of Computer Science, University of Warwick, Coventry, CV4 7AL, UK

    Alexander Tiskin

Authors
  1. Nicholas Korpelainen
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  2. Vadim V. Lozin
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  3. Alexander Tiskin
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Editor information

Editors and Affiliations

  1. Charles University, Malostranske nam 25, 11800, Praha 1, Czech Republic

    Jan Kratochvíl , Jiří Fiala  & Petr Kolman ,  & 

  2. State Key Lab. of Computer Science, Institute of Software,, Chinese Academy of Sciences, 100190, Beijing, P.R. China

    Angsheng Li

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Korpelainen, N., Lozin, V.V., Tiskin, A. (2010). Hamiltonian Cycles in Subcubic Graphs: What Makes the Problem Difficult. In: Kratochvíl, J., Li, A., Fiala, J., Kolman, P. (eds) Theory and Applications of Models of Computation. TAMC 2010. Lecture Notes in Computer Science, vol 6108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13562-0_29

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  • DOI: https://doi.org/10.1007/978-3-642-13562-0_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13561-3

  • Online ISBN: 978-3-642-13562-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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