Improved upper bounds for vertex and edge fault diameters of Cartesian graph bundles

Mixed fault diameter of a graph GG, D(a,b)(G)D(a,b)(G), is the maximal diameter of GG after deletion of any aa vertices and any bb edges. Special cases are the (vertex) fault diameter DaV=D(a,0) and the edge fault diameter DaE=D(0,a). Let GG be a Cartesian graph bundle with fibre FF over the base graph BB. We show that(1) Da+b+1V(G)≤DaV(F)+DbV(B) when the graphs FF and BB are kFkF-connected and kBkB-connected, 0