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Hamiltonian Properties of Generalized Halin Graphs
Published online by Cambridge University Press: 20 November 2018
Abstract
A Halin graph is a graph $H\,=\,T\,\cup \,C$, where $T$ is a tree with no vertex of degree two, and $C$ is a cycle connecting the end-vertices of $T$ in the cyclic order determined by a plane embedding of $T$. In this paper, we define classes of generalized Halin graphs, called $k$-Halin graphs, and investigate their Hamiltonian properties.
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- Research Article
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- Copyright © Canadian Mathematical Society 2009
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