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» On the distribution of eigenvalues of graphs
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CDC
2010
IEEE
144views Control Systems» more  CDC 2010»
14 years 4 months ago
Effect of network structure on the stability margin of large vehicle formation with distributed control
We study the problem of distributed control of a large network of double-integrator agents to maintain a rigid formation. A few lead vehicles are given information on the desired t...
He Hao, Prabir Barooah, J. J. P. Veerman
COMBINATORICS
2006
169views more  COMBINATORICS 2006»
14 years 9 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung
CORR
2010
Springer
66views Education» more  CORR 2010»
14 years 9 months ago
Eigenvalue Results for Large Scale Random Vandermonde Matrices with Unit Complex Entries
Abstract--This paper centers on the limit eigenvalue distribution for random Vandermonde matrices with unit magnitude complex entries. The phases of the entries are chosen independ...
Gabriel H. Tucci, Philip A. Whiting
STOC
2004
ACM
73views Algorithms» more  STOC 2004»
15 years 9 months ago
Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus
In this paper, we address two longstanding questions about finding good separators in graphs of bounded genus and degree:
Jonathan A. Kelner
81
Voted
CPC
2002
113views more  CPC 2002»
14 years 9 months ago
Some Inequalities For The Largest Eigenvalue Of A Graph
Let (G) be the largest eigenvalue of the adjacency matrix of a graph G: We show that if G is Kp+1-free then (G) r 2 p 1 p e (G): This inequality was ...rst conjectured by Edwards ...
Vladimir Nikiforov