Embedding and the rotational dimension of a graph containing a clique

The rotational dimension is a minor-monotone graph invariant related to the of Euclidean space containing spectral embedding corresponding first nonzero eigenvalue Laplacian, which introduced by Göring, Helmberg and Wappler. In this paper, we study dimensions graphs contain large complete graphs. characterized its dimension. It will be obtained that chordal may made while keeping constant.