#Alternating Maximum Weighted Matching






# Example usage




if __name__ == '__main__':
    import networkx as nx
    def find_alternating_maximum_weighted_matching(G, k):
        matching = nx.max_weight_matching(G, maxcardinality=True)
        matching_size = len(matching)
        if matching_size >= k:
            return matching
        else:
            return None
    G = nx.Graph()
    G.add_edge('A', 'B', weight=3)
    G.add_edge('B', 'C', weight=2)
    G.add_edge('C', 'D', weight=1)
    G.add_edge('D', 'A', weight=4)
    k = 2
    matching = find_alternating_maximum_weighted_matching(G, k)
    if matching is not None:
        print("Found alternating maximum weighted matching:", matching)
    else:
        print("No alternating maximum weighted matching of size at least", k, "found.")
