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Upper bounds for the bondage number of graphs on topological surfaces
Bondage number Domination number Topological surface
2011/2/22
The bondage number b(G) of a graph G is the smallest number of edges of G whose removal from G results in a graph having the domination number larger than that of G. We show that, for a graph G having...
We show that for any block algebra B of a finite group over an algebraically closed field
of prime characteristic p the dimension of HHn(B) is bounded by a function depending only
on the nonnegative...
Lower bounds on the Hausdorff measure of nodal sets
Lower bounds Hausdorff measure of nodal sets
2010/12/8
Let N' be the nodal hypersurface of a -eigenfunction ' of eigenvalue 2on a smooth Riemannian manifold. We prove that Hn−1(N') ≥ C7 4− 3n 4 on the surface measure of its nodal set. Th...