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The linear 3-cover of the Hermitean forms graph on 81 vertices. (English) Zbl 0993.05146

Linear graphs, a special case of Cayley graphs, can be represented with help of affine and projective geometries. The Hermitean forms graphs are series of linear distance-regular graphs. A new construction, based on the geometric representation, for the linear 3-cover of special Hermitean forms graphs (strongly regular graphs) is given.

MSC:

05E30 Association schemes, strongly regular graphs
05C75 Structural characterization of families of graphs
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