2270 search results - page 1 / 454 » On the distribution of eigenvalues of graphs |
DM
1999
13 years 10 months ago
1999
Let G be a simple graph with n( 2) vertices, and i(G) be the ith largest eigenvalue of G. In this paper we obtain the following: If 3(G) < 0, and there exists some index k, 2 ...
APPML
2006
13 years 11 months ago
2006
An eigenvalue of a graph G is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero, and it is well known that a graph has exactly one ma...
CORR
2011
Springer
13 years 5 months ago
2011
Springer
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
ICDM
2009
IEEE
14 years 5 months ago
2009
IEEE
—Eigenvalue analysis is an important aspect in many data modeling methods. Unfortunately, the eigenvalues of the sample covariance matrix (sample eigenvalues) are biased estimate...
COMBINATORICS
2007
13 years 11 months ago
2007
We derive several interesting formulae for the eigenvalues of the derangement graph and use them to settle affirmatively a conjecture of Ku regarding the least eigenvalue.