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» Higher Eigenvalues of Graphs
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CAI
2007
Springer
13 years 11 months ago
The Second Eigenvalue of Random Walks On Symmetric Random Intersection Graphs
Abstract. In this paper we examine spectral properties of random intersection graphs when the number of vertices is equal to the number of labels. We call this class symmetric rand...
Sotiris E. Nikoletseas, Christoforos Raptopoulos, ...
CORR
2004
Springer
83views Education» more  CORR 2004»
13 years 5 months ago
A proof of Alon's second eigenvalue conjecture and related problems
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
Joel Friedman
BICOB
2009
Springer
14 years 7 days ago
Graph Spectral Approach for Identifying Protein Domains
Here we present a simple method based on graph spectral properties to automatically partition multi-domain proteins into individual domains. The identification of structural domain...
Hari Krishna Yalamanchili, Nita Parekh
JCT
2007
83views more  JCT 2007»
13 years 5 months ago
On the largest eigenvalue of non-regular graphs
We study the spectral radius of connected non-regular graphs. Let λ1(n,Δ) be the maximum spectral radius among all connected non-regular graphs with n vertices and maximum degre...
Bolian Liu, Jian Shen, Xinmao Wang
COMBINATORICS
2004
97views more  COMBINATORICS 2004»
13 years 5 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