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The maximum matching and its related problems in convex bipartite graphs were studied by Glover (1967) and Lipski and Preparata (1981). This paper introduces circular convex bipartite graphs and considers the maximum matching and Hamiltonian circuit problems in these graphs. A bipartite graph G = (A, B, E) is circular convex on the vertex set A if A can be ordered on a circle so that for each element...
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