The Chvátal-Erd(?)s Condition For Vertex-pancyclism

This dissertation studies the vertex-pancyclism of a class of Chv(?)tal-Erd(?)s graphs.For a graph G with a(G)<k(G),K(G)? 3,where a(G)is the independence number of G and K(G)is the connectivity of G,if NG(v)has at most one edge for every vertex v V(G),then G satisfies ? G is k-regular and a(G)+1 = k(G),k = k(G);? The diameter diam(G)? 2;? Such graph G is vertex-pancyclic.