# EXPONENTS OF CARTESIAN PRODUCTS OF TWO DIGRAPHS OF SPECIAL ORDERS

• Kim, Byeong-Moon (DEPARTMENTS OF MATHEMATICS GANGNEUAND-WONJU NATIONAL UNIVERSITY) ;
• Rho, Yoo-Mi (DEPARTMENTS OF MATHEMATICS UNIVERSITY OF INCHEON)
• Published : 2010.11.30
• 43 4

#### Abstract

In this paper, we find the maximum exponent of D ${\times}$ E, the cartesian product of two digraphs D and E on n, n + 2 vertices, respectively for an even integer $n\geq4$. We also characterize the extrema cases.

#### Keywords

exponents;digraphs;Cartesian products;Wielandt graphs;Frobenius numbers

#### References

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