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    » Higher Eigenvalues of Graphs
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    FOCS
    2009
    IEEE
    102views Theoretical Computer Science» more  FOCS 2009»
    Higher Eigenvalues of Graphs
    13 years 11 months ago
    Higher Eigenvalues of Graphs
    Download  www.cs.washington.edu
    — We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenva...
    Jonathan A. Kelner, James R. Lee, Gregory N. Price...
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    CORR
    2011
    Springer
    215views Education» more  CORR 2011»
    Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
    12 years 8 months ago
    Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
    Download  www.cs.cmu.edu
    We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
    Venkatesan Guruswami, Ali Kemal Sinop
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    APPML
    2006
    80views more  APPML 2006»
    Unicyclic graphs with exactly two main eigenvalues
    13 years 4 months ago
    Unicyclic graphs with exactly two main eigenvalues
    Download  madis1.iss.ac.cn
    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
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    COMBINATORICS
    2007
    79views more  COMBINATORICS 2007»
    On the Spectrum of the Derangement Graph
    13 years 4 months ago
    On the Spectrum of the Derangement Graph
    Download  www.emis.de
    We derive several interesting formulae for the eigenvalues of the derangement graph and use them to settle affirmatively a conjecture of Ku regarding the least eigenvalue.
    Paul Renteln
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    CATS
    2008
    195views Applied Computing» more  CATS 2008»
    On the Non-existence of Even Degree Graphs with Diameter 2 and Defect 2
    13 years 6 months ago
    On the Non-existence of Even Degree Graphs with Diameter 2 and Defect 2
    Download  crpit.com
    Using eigenvalue analysis, it was shown by Erd
    Mirka Miller, Minh Hoang Nguyen, Guillermo Pineda-...
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