how can i extract the nodes of the giant component from the edges list?

You can read your graph in from a pandas DataFrame and use the connected_component_subgraphs function (see docs) to split the graph into connected components then and get the largest component from that.

Example reading your graph and making a networkx graph

edge_list_df = pd.read_csv('edges.csv')
g =  nx.pandas_edgelist(edge_list_df,source='source',
                        target='target',edge_attr='weight')

Example getting the connected components and the largest one

component_subgraph_list = list(nx.connected_component_subgraphs(g))
largest_component = max(component_subgraph_list,key=len)

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