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Hamiltonian connected hourglass free line graphs

โœ Scribed by Li Dengxin; Hong-Jian Lai; Yehong Shao; Mingquan Zhan


Book ID
108113840
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
148 KB
Volume
308
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


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Thomassen conjectured that every 4-connected line graph is hamiltonian. Here we shall see that 4-connected line graphs of claw free graphs are hamiltonian connected.

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โœ Hong-Jian Lai; Yehong Shao; Mingquan Zhan ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 63 KB ๐Ÿ‘ 1 views

A graph G is N 2 -locally connected if for every vertex v in G, the edges not incident with v but having at least one end adjacent to v in G induce a connected graph. In 1990, Ryja ยดc ห‡ek conjectured that every 3-connected N 2 -locally connected claw-free graph is Hamiltonian. This conjecture is pro