SOME PROPERTIES OF LAPLACIAN EIGENVALUES FOR GENERALIZED STAR GRAPHS
Kinkar Ch. Das
Indian Statistical Institute, New Delhi, 110016, India
(e-mail: kinkar@mailcity.com)
(Received April 18, 2005)
Abstract. In this paper, we discuss all
the Laplacian eigenvalues for generalized star graphs. When it is
not possible to find the exact eigenvalues, we have given the
upper and lower bounds. Moreover, we compare these bounds with the
existing bounds in the literature .