Hamiltonian Properties of Generalized Halin Graphs
Canadian mathematical bulletin, Tome 52 (2009) no. 3, pp. 416-423
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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.
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
@article{10_4153_CMB_2009_045_6,
author = {Malik, Shabnam and Qureshi, Ahmad Mahmood and Zamfirescu, Tudor},
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/}
}
TY - JOUR AU - Malik, Shabnam AU - Qureshi, Ahmad Mahmood AU - Zamfirescu, Tudor TI - Hamiltonian Properties of Generalized Halin Graphs JO - Canadian mathematical bulletin PY - 2009 SP - 416 EP - 423 VL - 52 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-045-6/ DO - 10.4153/CMB-2009-045-6 ID - 10_4153_CMB_2009_045_6 ER -
%0 Journal Article %A Malik, Shabnam %A Qureshi, Ahmad Mahmood %A Zamfirescu, Tudor %T Hamiltonian Properties of Generalized Halin Graphs %J Canadian mathematical bulletin %D 2009 %P 416-423 %V 52 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-045-6/ %R 10.4153/CMB-2009-045-6 %F 10_4153_CMB_2009_045_6
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