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Quadrangularly connected claw-free graphs

โœ Scribed by MingChu Li; Cheng Guo; Liming Xiong; Dengxin Li; Hong-Jian Lai


Book ID
108113719
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
187 KB
Volume
307
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


9-Connected Claw-Free Graphs Are Hamilto
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A graph is Hamilton-connected if any pair of vertices is joined by a hamiltonian path. In this note it is shown that 9-connected graphs which contain no induced claw K 1, 3 are Hamilton-connected, by reformulating and localizing a closure concept due to Ryja c ek, which turns claw-free graphs into l

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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

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โœ Matthias Kriesell ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 109 KB

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.