DMGT

Discussiones Mathematicae Graph Theory 15(1) (1995) 77-88
DOI: https://doi.org/10.7151/dmgt.1009

HAMILTONICITY IN MULTITRIANGULAR GRAPHS

Peter J. Owens

University of Surrey Guildford, GU2 5XH, United Kingdom

Hansjoachim Walther

Technical University Ilmenau, Institite of Mathematies
PF 327, D-98684 Ilmenau, Germany

Abstract

The family of 5-valent polyhedral graphs whose faces are all triangles or 3s-gons, s ≥ 9, is shown to contain non-hamiltonian graphs and to have a shortness exponent smaller than one.

Keywords: polyhedral graphs, longest cycles, shortness exponent

1991 Mathematics Subject Classification: 05C38, 05C45

References

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