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» Cliques and the spectral radius

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JUCS
2007

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Spectral Densest Subgraph and Independence Number of a Graph

14 years 11 months ago

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: In this paper, we study spectral versions of the densest subgraph problem and the largest independence subset problem. In the ﬁrst part, we give an algorithm for identifying sm...

Reid Andersen, Sebastian M. Cioaba

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HYBRID
2007
Springer

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Approximation of the Joint Spectral Radius of a Set of Matrices Using Sum of Squares

15 years 5 months ago

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We provide an asymptotically tight, computationally eﬃcient approximation of the joint spectral radius of a set of matrices using sum of squares (SOS) programming. The approach i...

Pablo A. Parrilo, Ali Jadbabaie

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107

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COMBINATORICS
2007

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The Spectral Radius of Subgraphs of Regular Graphs

14 years 11 months ago

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Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) Let G be a regular graph of order n and ﬁnite di...

Vladimir Nikiforov

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COMBINATORICS
2007

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The Spectral Radius and the Maximum Degree of Irregular Graphs

14 years 11 months ago