1 Bounds for the Dominant Eigenvector of a Graph
نویسنده
چکیده
In this note we prove lower bounds on the components of the eigenvector associated with the dominant eigenvalue of a graph. These bounds depend only on the eccentricity of the corresponding node and on the eigenvalue As corrollary lower bounds on the dominant eigenvalue are derived, which depend on the diameter of the graph. These bounds were motivated by a heuristic algorithm for finding peripheral nodes in a graph. VJe present this algorithm and indicate its use in sparse matrix computations
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