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Hamiltonian N2-locally connected claw-free graphs

✍ Scribed by Hong-Jian Lai; Yehong Shao; Mingquan Zhan

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
63 KB
Volume
48
Category
Article
ISSN
0364-9024

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✦ Synopsis

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 ´c ˇek conjectured that every 3-connected N 2 -locally connected claw-free graph is Hamiltonian. This conjecture is proved in this note.

📜 SIMILAR VOLUMES

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