Abstract :
For a connected graph G of order n⩾2 with positive Laplacian eigenvalues λ2,…,λn, letb(G) = n−11/λ2 +⋯+1/λn.In this note we derive bounds on some graph invariants (edge-density in cuts, isoperimetric number, mean distance, edge-forwarding index, edge connectivity, etc) in terms of b(G).
