ELA, Volume 15, pp. 337-344, December 2006, abstract.
Limit Points for Normalized Laplacian Eigenvalues
Steve Kirkland
Limit points for the positive eigenvalues of the
normalized Laplacian matrix of a graph are considered.
Specifically, it is shown that the set of limit points
for the j-th smallest such eigenvalues is equal to
[0,1], while the set of limit points for the j-th
largest such eigenvalues is equal to [1,2]. Limit
points for certain functions of the eigenvalues,
motivated by considerations for random walks, distances
between vertex sets, and isoperimetric numbers, are also
considered.