Infinite median graphs, (0, 2)‐graphs, and hypercubes
H.-J. Bandelt, Henry Martyn Mulder · Journal of Graph Theory · 1983
Abstract Hypercubes are characterized among connected bipartite graphs by interval conditions in several ways. These results are based on the following two facts: (i) connected bipartite graphs are median provided that all their intervals induce median graphs, and (ii) median (0, 2)‐graphs are hypercubes. No cardinality restrictions are made.