#Subgraph Homeomorphism (for a fixed graph H)



    # Check if the edge set of H is a subset of the edge set of G
        # Create a subgraph of G using the same nodes as H

        # Check if the subgraph is homeomorphic to H


# Example usage
    # Example graphs


    # Check if G contains a subgraph homeomorphic to H



if __name__ == '__main__':
    import networkx as nx
    def is_subgraph_homeomorphic(G, H):
        G_edges = set(G.edges)
        H_edges = set(H.edges)
        if H_edges.issubset(G_edges):
            subgraph_nodes = set(H.nodes)
            subgraph = G.subgraph(subgraph_nodes)
            return nx.is_isomorphic(subgraph, H)
        return False
    if __name__ == '__main__':
        G = nx.Graph()
        G.add_edges_from([(1, 2), (2, 3), (3, 1), (1, 4), (4, 5), (5, 6)])
        H = nx.Graph()
        H.add_edges_from([(1, 2), (2, 3), (3, 1)])
        if is_subgraph_homeomorphic(G, H):
            print("G contains a subgraph homeomorphic to H.")
        else:
            print("G does not contain a subgraph homeomorphic to H.")
