Parametric families of graphs | Regular graphs

Grassmann graph

In graph theory, Grassmann graphs are a special class of simple graphs defined from systems of subspaces. The vertices of the Grassmann graph Jq(n, k) are the k-dimensional subspaces of an n-dimensional vector space over a finite field of order q; two vertices are adjacent when their intersection is (k – 1)-dimensional. Many of the parameters of Grassmann graphs are q-analogs of the parameters of Johnson graphs, and Grassmann graphs have several of the same graph properties as Johnson graphs. (Wikipedia).

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Related pages

Graph theory | Intersection number (graph theory) | Distance-regular graph | Graph property | Linear subspace | Grassmannian | Vector space | Finite field | Hermann Grassmann | Vertex (graph theory) | Clique number | Distance-transitive graph | Q-analog | Johnson graph | Graph isomorphism