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On the Set of 2 - Common Consequent of Primitive Digraphs with Exact d Vertices Having Loop

DOI: 10.4236/am.2012.312268, PP. 1959-1962

Keywords: Boolean Matrix, Common Consequent, Primitive Digraph

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Abstract:

Let d and n are positive integers, n≥2,1≤d≤ 2.In this paper we obtain that the set of the 2 - common consequent of primitive digraphs of order n with exact d vertices having loop is{1,2,…, n-[]}.

References

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[3]  R. A. Brualdi and B. L. Liu, “Generalized Exponents of Primitive Directed Graphs,” Journal of Graph Theory, Vol. 14, No. 4, 1990, pp. 483-499. doi:10.1002/jgt.3190140413
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[5]  B. Zhou, “The Upper Generalized Exponent of a Digraph,” Advances in Mathematics, Vol. 6, 2000, pp. 499-506.

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