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A Combinatorial Algorithm for Minimizing the Maximum Laplacian Eigenvalue of Weighted Bipartite Graphs

By Christoph Helmberg, Israel Rocha and Uwe Schwerdtfeger

Abstract

We give a strongly polynomial time combinatorial algorithm to minimise the largest eigenvalue of the weighted Laplacian of a bipartite graph. This is accomplished by solving the dual graph embedding problem which arises from a semidefinite programming formulation. In particular, the problem for trees can be solved in time cubic in the number of vertices

Topics: Bipartiter Graph, Baum, gewichtete Laplace Matrix, Einbettung von Graphen, bipartite graph, tree, weighted Laplacian matrix, graph embedding, ddc:510, bipartiter Graph, Baum
Publisher: Universit├Ątsbibliothek Chemnitz
Year: 2015
OAI identifier: oai:qucosa.de:bsz:ch1-qucosa-175057
Journal:

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