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Characterization and enumeration of hypotraversable graphs

Published online by Cambridge University Press:  17 April 2009

S.P. Mohanty
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur, Uttar Pradesh, India.
Daljit Rao
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur, Uttar Pradesh, India.
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Abstract

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A graph G on p ≥ 2 vertices is said to be hypotraversable if G is not traversable but Gv is traversable, that is, Gv has an open trail which contains all the vertices and edges of Gv, for each vertex v of G. In this paper we first characterize hypotraversable graphs and then, using this characterization, obtain a complete enumeration of these graphs on p vertices for each positive integer p.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979

References

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