Geodesic
Local primitiveness of graphs and nonnegative matrices
Prikladnaâ diskretnaâ matematika, no. 3 (2014), pp. 68-80

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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 quasiexponent, local primitiveness.
Mots-clés : local subexponent, primitive matrix 
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     author = {S. N. Kyazhin and V. M. Fomichev},
     title = {Local primitiveness of graphs and nonnegative matrices},
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     pages = {68--80},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2014_3_a5/}
}
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S. N. Kyazhin; V. M. Fomichev. Local primitiveness of graphs and nonnegative matrices. Prikladnaâ diskretnaâ matematika, no. 3 (2014), pp. 68-80. http://geodesic.mathdoc.fr/item/PDM_2014_3_a5/