Geodesic
A parallel algorithm for searching the minimum weight spanning tree on prefractal graph
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 95-97 
L. I. Sennikova; A. A. Kochkarov. A parallel algorithm for searching the minimum weight spanning tree on prefractal graph. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 95-97. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a50/
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     author = {L. I. Sennikova and A. A. Kochkarov},
     title = {A parallel algorithm for searching the minimum weight spanning tree on prefractal graph},
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     pages = {95--97},
     year = {2012},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a50/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Emelichev V. A., Melnikov O. I., Sarvanov V. I., Tyshkevich R. I., Lektsii po teorii grafov, Nauka, M., 1990 | MR | Zbl

[2] Kochkarov A. A., Kochkarov R. A., “Parallelnyi algoritm poiska kratchaishego puti na predfraktalnom grafe”, Zhurnal vychisl. matem. i matem. fiziki, 44:6 (2004), 1157–1152 | MR | Zbl

[3] Kochkarov A. A., Sennikova L. I., “Kolichestvennye otsenki nekotorykh svyaznostnykh kharakteristik predfraktalnykh grafov”, Prikladnaya diskretnaya matematika, 2011, no. 4(14), 56–61