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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009 Number 5, Pages 48–50 (Mi vmumm902)

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Algebraic operations on graphs preserving the degree sequence

M. I. Lasheva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A finite state automaton implementation of the algorithm of a transformation from a given graph to another one with keeping a degree sequence is considered. The algorithm studied here may be used for optimization of computer networks with a given set of providers and restrictions posed on their communication capability. In this case it is sufficient to know only local characteristics of a netwok, but not global ones as it is required in the algorithm of V. Gavel and S. Hakimi.

Key words: degree sequence, finite state automaton.

UDC: 519.171.4+519.178

Received: 01.02.2008



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