Abstract | ||
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We describe the structure of those graphs that have largest spectral radius in the class of all connected graphs with a given degree sequence. We show that in such a graph the degree sequence is non-increasing with respect to an ordering of the vertices induced by breadth-first search. For trees the resulting structure is uniquely determined up to isomorphism. We also show that the largest spectral radius in such classes of trees is strictly monotone with respect to majorization. |
Year | Venue | Keywords |
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2008 | ELECTRONIC JOURNAL OF COMBINATORICS | adjacency matrix,eigenvectors,spectral radius,degree sequence,Perron vector,tree,majorization |
Field | DocType | Volume |
Adjacency matrix,Discrete mathematics,Combinatorics,Spectral radius,Vertex (geometry),Majorization,Isomorphism,Degree (graph theory),Frequency partition of a graph,Monotone polygon,Mathematics | Journal | 15.0 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 8 |
PageRank | References | Authors |
0.72 | 3 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Türker Bíyíkoglu | 1 | 88 | 7.40 |
josef leydold | 2 | 156 | 24.51 |