Abstract
The Johnson scheme is one of the most famous association schemes. The structure is based on binomial coefficients. On the other hand, the generalized Johnson scheme (-analog of the Johnson scheme) is based on -binomial coefficients. In this paper, we consider the association scheme which is based on multinomial coefficients and compute intersection numbers (structure constants) of it.
Funding Statement
This work has been partly supported by Grand-in-Aid for Young Scientists (B), the Ministry of Education, Culture, Sports, Science and Technology, Japan.
Acknowledgments
The author would like to thank the referee for his suggestions for improving this paper.
Citation
Osamu Shimabukuro. "Multinomial Coefficients and the Johnson Scheme." SUT J. Math. 43 (1) 49 - 59, January 2007. https://doi.org/10.55937/sut/1189443274
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