Hamiltonian N2-locally connected claw-free graphs

نویسندگان

  • Hong-Jian Lai
  • Yehong Shao
  • Mingquan Zhan
چکیده

A graph G is N2-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, Ryjác̆ek conjectured that every 3-connected N2-locally connected claw-free graph is hamiltonian. This conjecture is proved in this note.

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2005