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» On the distribution of eigenvalues of graphs
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IMC
2010
ACM
14 years 7 months ago
Measuring the mixing time of social graphs
Social networks provide interesting algorithmic properties that can be used to bootstrap the security of distributed systems. For example, it is widely believed that social networ...
Abedelaziz Mohaisen, Aaram Yun, Yongdae Kim
81
Voted
CORR
2004
Springer
83views Education» more  CORR 2004»
14 years 9 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
JCT
2007
83views more  JCT 2007»
14 years 9 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»
14 years 9 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
100
Voted
EMMCVPR
2005
Springer
15 years 3 months ago
Retrieving Articulated 3-D Models Using Medial Surfaces and Their Graph Spectra
We consider the use of medial surfaces to represent symmetries of cts. This allows for a qualitative abstraction based on a directed acyclic graph of components and also a degree o...
Juan Zhang, Kaleem Siddiqi, Diego Macrini, Ali Sho...