机译：Given graphs G1 and G2, we define a graph operation on G1 and G2,namely the SSG-vertex join of G1 and G2, denoted by G1★ G2. Let S(G) be the subdivision graph of G. The SSG-vertex join G1★G2 is the graph obtained from S(G1) and S(G2) by joining each vertex of G1 with each vertex of G2. In this paper, when Gi(i = 1, 2) is a regular graph, we determine the normalized Laplacian spectrum of G1★ G2. As applications, we construct many pairs of normalized Laplacian cospectral graphs, the normalized Laplacian energy, and the degree Kirchhoff index of G1★G2.
展开▼
