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In this paper, we find the maximum exponent of D×E,the cartesian product of two digraphs D and E on n, n + 2 vertices,respectively for an even integer n ≥ 4. We also characterize the extremal cases.
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참고문헌 (7)
참고문헌 신청
A. Brauer / 1942 / On a problem of partitions / Amer. J. Math. 64 : 299 ~ 312
B. L. Liu / 1990 / The exponent set of symmetric primitive (0; 1) matrices with zero trace / Linear Algebra Appl. 133 : 121 ~ 131
B. M. Kim / 2008 / Wielandt type theorem for Cartesian product of digraphs / Linear Algebra Appl. 429 (4) : 841 ~ 848
H. Wielandt / 1950 / Unzerlegbare, nicht negative Matrizen / Math. Z. 52 : 642 ~ 648
J. B. Roberts / 1956 / Note on linear forms / Proc. Amer. Math. Soc. 7 : 465 ~ 469
B. L. Liu / 1990 / The exponent set of symmetric primitive (0; 1) matrices with zero trace / Linear Algebra Appl. 133 : 121 ~ 131
B. M. Kim / 2008 / Wielandt type theorem for Cartesian product of digraphs / Linear Algebra Appl. 429 (4) : 841 ~ 848
H. Wielandt / 1950 / Unzerlegbare, nicht negative Matrizen / Math. Z. 52 : 642 ~ 648
J. B. Roberts / 1956 / Note on linear forms / Proc. Amer. Math. Soc. 7 : 465 ~ 469
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