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A family of hypo-hamiltonian generalized prisms

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Combinatorics and Graph Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 885))

Abstract

In this paper we construct a family of hypo-hamiltonian generalized prisms with 4k+2 vertices k≠1,3. This family gives us new cubic-hypohamiltonian graphs for k>5.

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References

  1. J.A. Bondy, Variations on the Hamiltonian theorem, Canad. Math. Bull., 15(1972), 57–62.

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  5. V. Klee, Which Generalised Prisms Admit H-circuits, Lecture Notes No. 303, Springer-Verlag, 173–179.

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  6. Daljit Rao, On some transversability problems in graph theory and combinatorics (Dissertation) I.I.T., Kanpur, 1977.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 208 016, Kanpur

    S. P. Mohanty & Daljit Rao

Authors
  1. S. P. Mohanty
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  2. Daljit Rao
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Editor information

Siddani Bhaskara Rao

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© 1981 Springer-Verlag

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Mohanty, S.P., Rao, D. (1981). A family of hypo-hamiltonian generalized prisms. In: Rao, S.B. (eds) Combinatorics and Graph Theory. Lecture Notes in Mathematics, vol 885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092278

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  • DOI: https://doi.org/10.1007/BFb0092278

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11151-1

  • Online ISBN: 978-3-540-47037-3

  • eBook Packages: Springer Book Archive

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