Let G = (V(G), E(G)) be a graph. A set S ⊆ E(G) is an edge k-cut in G if the graph G − S = (V(G), E(G) \ S) has at least k connected components. The generalized k-edge connectivity of a graph G, ...
Jacob, Jobby. "Rankings (ordered colorings) of Graphs." Math. Colloquium. Hobart and William Smith Colleges. Geneva, NY. 11 Apr. 2019. Keynote Speech. Dobosh, Korrine, Samuel Kennedy, and Jobby Jacob.