Discrete Mathematics ( IF 0.770 ) Pub Date : 2021-01-12 , DOI: 10.1016/j.disc.2021.112290
Jing Qu; Jianguo Lei

In this paper, we show that three-class association schemes can be constructed from certain partial geometric designs. First, we show that partial geometric designs with exactly three indices: $r-n$, ${\lambda }_{1}$ and ${\lambda }_{2}$ give rise to three-class association schemes, using the method of Beker and Haemers (1980). Second, we describe parameter sets of certain partial geometric designs that also give rise to three-class association schemes.

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