Ross, Jeffrey A. On the exponent of a primitive, nearly reducible matrix. II. (English) Zbl 0507.05013 SIAM J. Algebraic Discrete Methods 3, 395-410 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 19 Documents MSC: 05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.) 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) 15A45 Miscellaneous inequalities involving matrices 05C20 Directed graphs (digraphs), tournaments Keywords:exponent; primitive nearly reducible matrix; minimally strong directed graph Citations:Zbl 0436.05023 PDFBibTeX XMLCite \textit{J. A. Ross}, SIAM J. Algebraic Discrete Methods 3, 395--410 (1982; Zbl 0507.05013) Full Text: DOI References: [1] Berge, Claude, Graphs and hypergraphs, (1973) · Zbl 0254.05101 [2] Berman, Abraham; Plemmons, RobertJ., Nonnegative matrices in the mathematical sciences, (1979) · Zbl 0484.15016 [3] Brualdi, RichardA.; Hedrick, MarkB., A unified treatment of nearly reducible and nearly decomposable matrices, Linear Algebra Appl., 24, 51, (1979) · Zbl 0403.15008 · doi:10.1016/0024-3795(79)90146-0 [4] Brualdi, RichardA.; Ross, JeffreyA., On the exponent of a primitive, nearly reducible matrix, Math. Oper. Res., 5, 229, (1980) · Zbl 0436.05023 [5] Denardo, EricV., Periods of connected networks and powers of nonnegative matrices, Math. Oper. Res., 2, 20, (1977) · Zbl 0399.15011 [6] Dulmage, A. L.; Mendelsohn, N. S., Gaps in the exponent set of primitive matrices, Illinois J. Math., 8, 642, (1964) · Zbl 0125.00706 [7] Heap, B. R.; Lynn, M. S., The index of primitivity of a non-negative matrix, Numer. Math., 6, 120, (1964) · Zbl 0121.26303 [8] Holladay, JohnC.; Varga, RichardS., On powers of non-negative matrices, Proc. Amer. Math. Soc., 9, 631, (1958) · Zbl 0096.00805 [9] Kemeny, JohnG.; Snell, J. Laurie, Finite Markov chains, (1960) · Zbl 0089.13704 [10] Lewin, Mordechai, On exponents of primitive matrices, Numer. Math., 18, 154, (197172) · Zbl 0221.15021 [11] Lewin, Mordechai, Bounds for exponents of doubly stochastic primitive matrices, Math. Z., 137, 21, (1974) · Zbl 0276.15024 [12] Ross, J. A.; Lucchesi, C., Superfluous paths in strong digraphs, Discrete Math., 47, 267, (1983) · Zbl 0526.05028 [13] Varga, RichardS., Matrix iterative analysis, (1962) [14] Wielandt, Helmut, Unzerlegbare, nicht negative matrizen, Math. Z., 52, 642, (1950) · Zbl 0035.29101 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.