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We describe all possible topological structures of typical one-parameterbifurcations of gradient flows on the 2-sphere with holes in the case that thenumber of singular point of flows is at most six. To describe structures, weseparatrix diagrams of flows. The saddle-node singularity is specified byselecting a separatrix in the diagram of the flow befor the bifurcation and thesaddle connection is specified by a separatrix, which conect two saddles.

Typical one-parameter bifurcations of gradient flows with at most six singular points on the 2-sphere with holes