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JOURNALS // Prikladnaya Diskretnaya Matematika. Supplement // Archive

Prikl. Diskr. Mat. Suppl., 2012 Issue 5, Pages 95–97 (Mi pdma23)

Applied graph theory

A parallel algorithm for searching the minimum weight spanning tree on prefractal graph

L. I. Sennikovaa, A. A. Kochkarovb

a Stavropol Institute of Management, Stavropol
b Institute of Control Sciences, Russian Academy of Sciences, Moscow

Abstract: Prefractal (fractal) graphs are models of complex self-similar structures. Hence, there is a need in theoretical studies related to processing prefractal graph models. In view of a large dimension of prefractal graphs, it is advisable to analyze these models on parallel computational systems. In this paper, a parallel algorithm for searching the minimum weight spanning tree of a prefractal graph is suggested. The parallelization of the algorithm is based on the use of self-similarity properties of prefractal graphs.

UDC: 519.17



© Steklov Math. Inst. of RAS, 2024