Faculty of Mathematics, Physics
and Informatics
Comenius University Bratislava

Seminar of Graph Theory - Petr Kovář (11.3.2021)

Thursday 11.3.2021 at 9:50

09. 03. 2021 10.01 hod.
By: Martin Škoviera

Petr Kovář (VSB - Technical University of Ostrava)
A nice application of complete graph decompositionh

MS TEAMS code (users from Comenius University in Bratislava): gglxxc7 
Link (guests outside Comenius University in Bratislava)

Graph decompositions, graceful labelings, perfect difference sets - all these are well established topics in Graph Theory or in Number Theory. They have a surprising and nice application in memory distribution of a parallel numerical solution of a large system of equations with dense matrices, which arise e.g. when using Boundary Element Method.

In this talk we present a brief overview of the classical results and explain the method, that allowed us to solve larger problems than traditional parallelization would allow. We have successfully used cyclic graph decompositions when solving systems with millions of variables.

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