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Toplam kayıt 5, listelenen: 1-5
Algebraic connectivity and degree sequences of trees
(Elsevier Science Inc, 2009-01-15)
We investigate the structure of trees that have minimal algebraic connectivity among all trees with a given degree sequence. We show that such trees are caterpillars and that the vertex degrees are non-decreasing on every ...
Network synchronization: Spectral versus statistical properties
(Elsevier B.V., 2006-12)
We consider synchronization of weighted networks, possibly with asymmetrical connections. Focusing on causal relations rather than the observed correlations, we show that the synchronizability of networks cannot be directly ...
Graphs with given degree sequence and maximal spectral radius
(Electronic Journal of Combinatorics, 2008-09-15)
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 ...
Laplacian Eigenvectors of graphs
(Springer Verlag, 2007)
[No abstract available]
Laplacian eigenvectors of graphs: Perron-Frobenius and Faber-Krahn type theorems
(Springer Verlag, 2007)
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are ...