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» On the extreme eigenvalues of regular graphs
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APPML
2006
80views more  APPML 2006»
13 years 5 months ago
Unicyclic graphs with exactly two main eigenvalues
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...
Yaoping Hou, Feng Tian
JCT
2007
67views more  JCT 2007»
13 years 4 months ago
Extreme eigenvalues of nonregular graphs
Sebastian M. Cioaba, David A. Gregory, Vladimir Ni...
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
13 years 4 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
COMBINATORICS
2004
97views more  COMBINATORICS 2004»
13 years 4 months ago
Tight Estimates for Eigenvalues of Regular Graphs
It is shown that if a d-regular graph contains s vertices so that the distance between any pair is at least 4k, then its adjacency matrix has at least s eigenvalues which are at l...
Alon Nilli