A Majorization Bound for the Eigenvalues of Some Graph Laplacians
نویسنده
چکیده
Grone and Merris [5] conjectured that the Laplacian spectrum of a graph is majorized by its conjugate vertex degree sequence. In this paper, we prove that this conjecture holds for a class of graphs including trees. We also show that this conjecture and its generalization to graphs with Dirichlet boundary conditions are equivalent.
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 21 شماره
صفحات -
تاریخ انتشار 2007