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Prikladnaya Diskretnaya Matematika, 2014, Number 3(25), Pages 68–80 (Mi pdm467)  
This article is cited in 13 scientific papers (total in 13 papers)

Applied Graph Theory

Local primitiveness of graphs and nonnegative matrices

S. N. Kyazhina, V. M. Fomichevba

a National Engineering Physics Institute "MEPhI", Moscow, Russia
b Financial University under the Government of the Russian Federation, Moscow, Russia
Full-text PDF (569 kB) Citations (13)
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Abstract: Some important properties of objects simulated by nonnegative matrices (graphs) are revealed when their submatrices are positive (subgraphs are complete). For this reason, the primitiveness and the exponent of a matrix (graph) are generalized to the local primitiveness and to the quasiprimitiveness of nonnegative matrices and graphs. Conditions for matrix local primitiveness and quasiprimitiveness are obtained. A relation between local exponent and exponent is established.
Keywords: exponent, local exponent, local subexponent, local quasiexponent, primitive matrix, local primitiveness.
Document Type: Article
UDC: 519.6
Language: Russian
Citation: S. N. Kyazhin, V. M. Fomichev, “Local primitiveness of graphs and nonnegative matrices”, Prikl. Diskr. Mat., 2014, no. 3(25), 68–80
Citation in format AMSBIB
\Bibitem{KyaFom14}
\by S.~N.~Kyazhin, V.~M.~Fomichev
\paper Local primitiveness of graphs and nonnegative matrices
\jour Prikl. Diskr. Mat.
\yr 2014
\issue 3(25)
\pages 68--80
\mathnet{http://mi.mathnet.ru/pdm467}
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  • https://www.mathnet.ru/eng/pdm/y2014/i3/p68
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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