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Zbl 1161.05334
Mohar, Bojan
Graph Laplacians.
(English)
[A] Beineke, Lowell W. (ed.) et al., Topics in algebraic graph theory. Cambridge: Cambridge University Press. Encyclopedia of Mathematics and Its Applications 102, 113-136 (2004). ISBN 0-521-80197-4/hbk

This is Chapter 4 of the first in a planned new series of books surveying individual areas of graph theory, each being a collection of articles written by experts from within a particular area. In this case the area is algebraic graph theory. Section headings are as follows: Introduction; The Laplacian of a graph; Laplace eigenvalues; Eigenvalues and vertex partitions of graphs; The max-cut problem and semidefinite programming; Isoperimetrixc inequalities; The travelling salesman problem; Random walks on graphs.
MSC 2000:
*05C50 Graphs and matrices
90C22 Semidefinite programming
90C27 Combinatorial programming
90C35 Network programming
05C90 Appl. of graph theory
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Scientific prize winners of the ICM 2010
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