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» Higher Eigenvalues of Graphs
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STOC
2003
ACM
118views Algorithms» more  STOC 2003»
15 years 10 months ago
A proof of Alon's second eigenvalue conjecture
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
Joel Friedman
CVPR
2011
IEEE
14 years 5 months ago
Contour cut: identifying salient contours in images by solving a Hermitian eigenvalue problem
The problem of finding one-dimensional structures in images and videos can be formulated as a problem of searching for cycles in graphs. In [11], an untangling-cycle cost functio...
Ryan Kennedy, Jean Gallier, Jianbo Shi
CORR
2011
Springer
202views Education» more  CORR 2011»
14 years 4 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
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...
Alan M. Frieze, Charalampos E. Tsourakakis
CCCG
2010
14 years 11 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...