On the construction of Q-controllable graphs

نویسندگان

  • Zhenzhen Lou
  • Qiongxiang Huang
  • Xueyi Huang
  • ZHENZHEN LOU
  • XUEYI HUANG
چکیده

A connected graph is called Q-controllable if its signless Laplacian eigenvalues are mutually distinct and main. Two graphs G and H are said to be Q-cospectral if they share the same signless Laplacian spectrum. In this paper, infinite families of Q-controllable graphs are constructed, by using the operator of rooted product introduced by Godsil and McKay. In the process, infinitely many non-isomorphic Q-cospectral graphs are also constructed, especially, including those graphs whose signless Laplacian eigenvalues are mutually distinct.

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تاریخ انتشار 2017