Hamiltonian Properties of Generalized Halin Graphs
Canadian mathematical bulletin, Tome 52 (2009) no. 3, pp. 416-423

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DOI

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.
DOI : 10.4153/CMB-2009-045-6
Mots-clés : 05C45, 05C38, k-Halin Graph, Hamiltonian, Hamiltonian connected, traceable
Malik, Shabnam; Qureshi, Ahmad Mahmood; Zamfirescu, Tudor. Hamiltonian Properties of Generalized Halin Graphs. Canadian mathematical bulletin, Tome 52 (2009) no. 3, pp. 416-423. doi: 10.4153/CMB-2009-045-6
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     title = {Hamiltonian {Properties} of {Generalized} {Halin} {Graphs}},
     journal = {Canadian mathematical bulletin},
     pages = {416--423},
     year = {2009},
     volume = {52},
     number = {3},
     doi = {10.4153/CMB-2009-045-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-045-6/}
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