Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.© BrainMass Inc. brainmass.com December 24, 2021, 4:47 pm ad1c9bdddf
Proof. If not, then there exists a vertex v of G such that G-v is (k-1)-critical which means that for each ...
This is a proof regarding vertex-arboricity. The critical graph with respect to vertex arboricity is analyzed.