논문KCI 등재
EXPONENTS OF CARTESIAN PRODUCTS OF TWO DIGRAPHS OF SPECIAL ORDERS
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초록
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.
Abstract
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.
참고문헌 (7)
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- R. Lamprey, "Primitivity of products of digraphs", Proceedings of the Tenth Southeastern Conference on Combinatorics, Graph Theory and Computing, 통권 : 23, pp.637~644 (1979)
- B. L. Liu, "The exponent set of symmetric primitive (0; 1) matrices with zero trace", Linear Algebra Appl., 133, pp.121~131 (1990)
- J. B. Roberts, "Note on linear forms", Proc. Amer. Math. Soc., 7, pp.465~469 (1956)
- J. Y. Shao, "The exponent set of symmetric primitive matrices", Sci. Sinica Ser. A, 9, pp.931~939 (1986)
- H. Wielandt, "Unzerlegbare, nicht negative Matrizen", Math. Z., 52, pp.642~648 (1950)
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