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Matematicheskie Zametki, 2010, Volume 88, Issue 5, Pages 643–650
DOI: https://doi.org/10.4213/mzm8403 (Mi mzm8403) 		 
This article is cited in 33 scientific papers (total in 33 papers)

On the Complexity of Some Problems Related to Graph Extensions

M. B. Abrosimov

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (412 kB) Citations (33)
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DOI: https://doi.org/10.4213/mzm8403
Abstract: The computational complexity of problems related to the construction of $k$-extensions of graphs is studied. It is proved that the problems of recognizing vertex and edge $k$-extensions are NP-complete. The complexity of recognizing irreducible, minimal, and exact vertex and edge $k$-extensions is considered.
Keywords: extension of graphs, vertex and edge $k$-extension, minimal $k$-extension, irreducible $k$-extension, exact $k$-extension, NP problem, NP-complete problem, fault tolerance.
Received: 10.01.2009
Revised: 13.02.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 5, Pages 619–625
DOI: https://doi.org/10.1134/S0001434610110015
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: M. B. Abrosimov, “On the Complexity of Some Problems Related to Graph Extensions”, Mat. Zametki, 88:5 (2010), 643–650; Math. Notes, 88:5 (2010), 619–625
Citation in format AMSBIB
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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