Problem 1: Let G be a graph that has a nowhere-zero 4-flow. Suppose G − e is bridgeless. Prove that G − e has a nowhere-zero 5-flow. Problem 2: Let G1 be a graph with a nowhere-zero k1-flow and let G2 be a graph with a nowhere-zero k2-flow. Prove that the G1 ∪ G2 has a nowhere-zero k1k2-flow.
