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Generalized exponents of primitive simple graphs

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Abstract

The exponent of a primitive digraph has been generalized in [2]. In this paper we obtain new parameters on generalized exponent of primitive simple graphs (symmetric primitive (0,1) matrices with zero trace) completely.

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References

  1. A.L. Dulmage and N.S. Mendelsohn, Gaps in the Exponent Set of Primitive Matrices,Illinois J. Math.,8 (1964), 642–646.

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  3. Bolian Liu, B.D. Mckay, N. Wormald, Zhang Ke Min, The Exponent Set of Symmexic Primitive (0,1)-matrices with Zero Trace,Linear Algebra Applics,136 (1990), 107–117.

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  4. J.Y. Shao, The Exponent Set of Symmetric Primitive Matrices,Scientia Sinica (Series A),9 (1986), 931–939.

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Authors and Affiliations

  1. South China Normal University, 510631, Guangzhou, China

    Liu Bolian

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  1. Liu Bolian
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Liu, B. Generalized exponents of primitive simple graphs. Acta Mathematicae Applicatae Sinica 9, 36–43 (1993). https://doi.org/10.1007/BF02009630

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  • DOI: https://doi.org/10.1007/BF02009630

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