The Upper Bound of Primitive Exponent of a Class of Special Nonnegative Matrix Pairs

Mei Jin Luo

doi:10.4028/www.scientific.net/AMR.1061-1062.1100

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1061-1062The Upper Bound of Primitive Exponent of a Class...

The Upper Bound of Primitive Exponent of a Class of Special Nonnegative Matrix Pairs

Abstract:

There is a one-to-one relationship between nonnegative matrix pairs and two-colored digraph. With the knowledge of graph theory, by studying the associated directed digraph of a class of special nonnegative matrix pairs, that is a class of two-colored digraphs whose uncolored digraph have 3n-1 vertices and consists of one (3n-1)-cycle and one n-cycle are considered. The exponent and characteristic of extreme two-colored digraphs are given.

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Periodical:

Advanced Materials Research (Volumes 1061-1062)

Pages:

1100-1103

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1061-1062.1100

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Online since:

December 2014

Authors:

Mei Jin Luo*

Keywords:

Exponent, Matrix Pairs, Nonnegative, Two-Colored Digraph, Upper Bound

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References

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