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What and Who

Voronoi diagram of lattices under a simplicial distance function and its relation to graphs

Madhusudan Manjunath
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (own work)

AG1
AG 1, AG 4, RG1, MMCI, AG 3, AG 5, SWS  
AG Audience
English

Date, Time and Location

Friday, 24 April 2009
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

For an undirected connected graph, we associate a lattice, that we call the Laplacian lattice of the graph. We describe the Voronoi diagram of this lattice under a certain simplicial distance function and show that the properties of this Voronoi diagram can be used to derive structural results on graphs. For ex. Riemann-Roch theorem for graphs. We also discuss some applications to algorithmic and classification problems.

Joint Work with Omid Amini.

Contact

Madhusudan Manjunath
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Tags, Category, Keywords and additional notes

Lattices, Voronoi digrams, Graph Theory.

Madhusudan Manjunath, 04/19/2009 23:38
Madhusudan Manjunath, 04/19/2009 23:36 -- Created document.