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» On the extreme eigenvalues of regular graphs
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JCT
2006
71views more  JCT 2006»
13 years 11 months ago
On the extreme eigenvalues of regular graphs
Sebastian M. Cioaba
APPML
2006
80views more  APPML 2006»
13 years 11 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 10 months ago
Extreme eigenvalues of nonregular graphs
Sebastian M. Cioaba, David A. Gregory, Vladimir Ni...
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
13 years 10 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 10 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