Geodesic
Positive properties of non-negative matrices
Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 5-13
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Some results of graph (non-negative matrice) primitiveness research are reviewed and some generalizations of them are considered. Estimates for exponents of graphs and systems of graphs (matrices and systems of matrices) are pointed.
Keywords: primitive graphs, exponent
Mots-clés : primitive matrices, subexponent. 
@article{PDM_2012_4_a0,
     author = {K. G. Kogos and V. M. Fomichev},
     title = {Positive properties of non-negative matrices},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {5--13},
     year = {2012},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2012_4_a0/}
}
TY  - JOUR
AU  - K. G. Kogos
AU  - V. M. Fomichev
TI  - Positive properties of non-negative matrices
JO  - Prikladnaâ diskretnaâ matematika
PY  - 2012
SP  - 5
EP  - 13
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/PDM_2012_4_a0/
LA  - ru
ID  - PDM_2012_4_a0
ER  - 
%0 Journal Article
%A K. G. Kogos
%A V. M. Fomichev
%T Positive properties of non-negative matrices
%J Prikladnaâ diskretnaâ matematika
%D 2012
%P 5-13
%N 4
%U http://geodesic.mathdoc.fr/item/PDM_2012_4_a0/
%G ru
%F PDM_2012_4_a0
K. G. Kogos; V. M. Fomichev. Positive properties of non-negative matrices. Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 5-13. http://geodesic.mathdoc.fr/item/PDM_2012_4_a0/

[1] Fomichev V. M., Metody diskretnoi matematiki v kriptologii., Dialog-MIFI, M., 2009

[2] Wielandt H., “Unzerlegbare nicht negative Matrizen”, Math. Zeitschr., 52 (1950), 642–648 | DOI | MR | Zbl

[3] Sachkov V. N., Tarakanov V. E., Kombinatorika neotritsatelnykh matrits, TVP, M., 2000 | MR | Zbl

[4] Nosov V. A., Sachkov V. N., Tarakanov V. E., “Kombinatornyi analiz. Neotritsatelnye matritsy, algoritmicheskie problemy”, Itogi nauki i tekhniki. Ser. teoriya ver., matem. statist., teoret. kibern., 21, 1983, 120–178 | MR | Zbl

[5] Lewin M., Vitek Y., “A system of gaps in the exponent set of primitive matrices”, Illinois J. Math., 25:1 (1981), 87–98 | MR | Zbl

[6] Berzh K., Teoriya grafov i eë primenenie, IL, M., 1962

[7] Fomichev V. M., “Otsenki eksponentov primitivnykh grafov”, Prikladnaya diskretnaya matematika, 2011, no. 2(12), 101–112

[8] Koreneva A. M., Fomichev V. M., “Ob odnom obobschenii blochnykh shifrov Feistelya”, Prikladnaya diskretnaya matematika, 2012, no. 3(17), 34–40

[9] Knyazev A. V., Otsenki ekstremalnykh znachenii osnovnykh metricheskikh kharakteristik psevdosimmetricheskikh grafov, Dis. $\dots$ dokt. fiz.-mat. nauk, M., 2002, 203 pp.

[10] Kyazhin S. N., Fomichev V. M., “O primitivnykh naborakh naturalnykh chisel”, Prikladnaya diskretnaya matematika, 2012, no. 2(16), 5–14

[11] Fomichev V. M., “Svoistva putei v grafakh i multigrafakh”, Prikladnaya diskretnaya matematika, 2010, no. 1(7), 118–124

[12] Sachkov V. N., “Veroyatnostnye preobrazovateli i pravilnye multigrafy”, Trudy po diskretnoi matematike, 1, 1997, 227–250 | MR | Zbl

[13] Sachkov V. N., Oshkin I. B., “Eksponenty klassov neotritsatelnykh matrits”, Diskretnaya matematika, 5:2 (1993), 150–159 | MR | Zbl