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  "body": "\n## Summary\n\nIn graph theory, the **halved cube graph** or **half cube graph** of dimension $n$ is the vertex-edge graph of the demihypercube, formed by connecting pairs of vertices at [[distance|0QV9VNNB4Z]] exactly two from each other in the hypercube graph. That is, it is the half-square of the hypercube. This connectivity pattern produces two [[isomorphic graphs|00CT0PTH74]], disconnected from each other, each of which is the halved cube graph.\n",
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