论文标题
在强度图上的广义锤子方案的融合
Fusions of the generalized Hamming scheme on a strongly-regular graph
论文作者
论文摘要
在本文中，我们表明，对于关联方案$ \ MATHCAL {a} $的任何融合$ \ Mathcal {b} $，广义的锤子方案$ h（n，\ mathcal {b}）$是$ h（n，\ nathcal {a}）$的非平凡融合。我们分析了$ \ Mathcal {a} $是强图形图上的关联方案，并确定广义锤式方案的所有强度图的参数，$ h（2，\ mathcal {a}）$具有额外的融合，此外还具有额外的融合。
In this paper we show that for any fusion $\mathcal{B}$ of an association scheme $\mathcal{A}$, the generalized Hamming scheme $H(n,\mathcal{B})$ is a nontrivial fusion of $H(n,\mathcal{A})$. We analyze the case where $\mathcal{A}$ is the association scheme on a strongly-regular graph, and determine the parameters of all strongly-regular graphs for which the generalized Hamming scheme, $H(2,\mathcal{A})$, has extra fusions, in addition to the one arising from the trivial fusion of $\mathcal{A}$.
